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Ansari, Qamrul Hasan (ed.), Nonlinear analysis. Approximation theory, optimization and applications. Contributions based on the presentations at the special session on approximation theory and optimization in the Indian Mathematical Society conference, Varanasi, India, January 12–15, 2012. New Delhi: Birkhäuser/Springer (ISBN 978-81-322-1882-1/hbk; 978-81-322-1883-8/ebook). Trends in Mathematics, 61-107 (2014).

Reviewer: Stefan Cobzaş (Cluj-Napoca)

MSC: 46B20 41A65 47H08 47H04 54C60

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Ren, Qinggang

Coarse embedding into uniformly convex Banach spaces. (English) Zbl 1319.46018

Chin. Ann. Math., Ser. B 35, No. 5, 733-742 (2014).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 20F65 20F67

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Khan, Safeer Hussain; Ozdemir, Murat; Akbulut, Sezgin

Some common-fixed-point results for nonself asymptotically quasi-nonexpansive mappings by a two-step iterative process. (Some common-fixed-point results for nonself asymptotically qausi-nonexpansive mappings by a two-step iterative process.) (English) Zbl 1304.54084

Indian J. Math. 56, No. 2, 169-188 (2014).

Reviewer: Satit Saejung (Khon Kaen)

MSC: 54H25 54E40 54C60 47H09 47J25

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Nanan, Narawadee

Common fixed point results in uniformly convex metric spaces. (English) Zbl 1296.54078

Thai J. Math. 12, No. 1, 195-205 (2014).

MSC: 54H25 54C60 54E40 47H09

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Mendel, Manor; Naor, Assaf

Nonlinear spectral calculus and super-expanders. (English) Zbl 1306.46021

Publ. Math., Inst. Hautes Étud. Sci. 119, 1-95 (2014).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 05C12 05C50 30L05 46B07 46B09

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Kloeckner, Benoît R.

Yet another short proof of Bourgain’s distortion estimate for embedding of trees into uniformly convex Banach spaces. (English) Zbl 1314.46028

Isr. J. Math. 200, 419-422 (2014).

MSC: 46B85

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Full Text: DOI HAL

Al-Mezel, Saleh Abdullah; Khamsi, Mohamed Amine

Fixed point of asymptotic pointwise nonexpansive semigroups in metric spaces. (English) Zbl 1292.47038

Fixed Point Theory Appl. 2013, Paper No. 230, 12 p. (2013).

MSC: 47H20 47H09 47H10

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Amini-Harandi, Alireza; Hussain, Nawab; Akbar, Farhana

Best proximity point results for generalized contractions in metric spaces. (English) Zbl 1297.47061

Fixed Point Theory Appl. 2013, Paper No. 164, 13 p. (2013).

MSC: 47H10 54H25 47J25 54E40

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Dehaish, Buthinah A. Bin

Ishikawa iteration process for asymptotic pointwise nonexpansive mappings in metric spaces. (English) Zbl 1423.54076

Fixed Point Theory Appl. 2013, Paper No. 98, 13 p. (2013).

MSC: 54H25 54E40 54E50 47J25

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Naraghirad, Eskandar; Wong, Ngai-Ching; Yao, Jen-Chih

Approximating fixed points of \({\alpha}\)-nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces. (English) Zbl 1286.54050

Fixed Point Theory Appl. 2013, Paper No. 57, 20 p. (2013).

MSC: 54H25 54E40 47H10 37C25

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Dehghan, Hossein

**Demiclosed principle and convergence of a hybrid algorithm for multivalued \(^*\)-nonexpansive mappings.** (English) Zbl 1366.47008

Fixed Point Theory 14, No. 1, 107-116 (2013).

MSC: 47J25 47H09 47H04

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Tripak, Orawan

Convergence theorems with a modified Noor-type iterative scheme in convex metric space. (English) Zbl 1273.54026

JP J. Fixed Point Theory Appl. 8, No. 1, 15-28 (2013).

MSC: 54E40 54H25 47J25 47H09

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Mendel, Manor; Naor, Assaf

Markov convexity and local rigidity of distorted metrics. (English) Zbl 1266.46016

J. Eur. Math. Soc. (JEMS) 15, No. 1, 287-337 (2013).

Reviewer: Mikhail Ostrovskii (Queens)

MSC: 46B85 05C12 30L05 46B07 46B09 46B80

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Bin Dehaish, B. A.; Khamsi, M. A.; Khan, A. R.

Mann iteration process for asymptotic pointwise nonexpansive mappings in metric spaces. (English) Zbl 1264.54060

J. Math. Anal. Appl. 397, No. 2, 861-868 (2013).

Reviewer: Jarosław Górnicki (Rzeszów)

MSC: 54H25 47H10 47H09

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Sintunavarat, Wutiphol; Kumam, Poom

Coupled best proximity point theorem in metric spaces. (English) Zbl 1308.41036

Fixed Point Theory Appl. 2012, Paper No. 93, 16 p. (2012).

MSC: 41A65 54H25 54E40 47H10

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Hussain, N.; Jungck, G.; Khamsi, M. A.

Nonexpansive retracts and weak compatible pairs in metric spaces. (English) Zbl 1273.54058

Fixed Point Theory Appl. 2012, Paper No. 100, 10 p. (2012).

MSC: 54H25 54E40

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Włodarczyk, Kazimierz; Plebaniak, Robert

Generalized uniform spaces, uniformly locally contractive set-valued dynamic systems and fixed points. (English) Zbl 1280.54012

Fixed Point Theory Appl. 2012, Paper No. 104, 39 p. (2012).

Reviewer: Grzegorz Gabor (Toruń)

MSC: 54C60 54H25 47H10 54E15

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Joseph, J. Maria; Marudai, M.

Some results on existence and convergence of best proximity points. (English) Zbl 1298.54032

Far East J. Math. Sci. (FJMS) 66, No. 2, 197-212 (2012).

Reviewer: Ioan A. Rus (Cluj-Napoca)

MSC: 54H25 54E40 47H10

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Nantadilok, Jamnian; Chaipornjareansri, Somkiat

Convergence theorems of multi-step iterative scheme for a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces. (English) Zbl 1511.54041

JP J. Fixed Point Theory Appl. 7, No. 3, 163-176 (2012).

MSC: 54H25 54E40 65J15

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Memarian, Yashar

A lower bound on the waist of unit spheres of uniformly convex normed spaces. (English) Zbl 1322.54018

Compos. Math. 148, No. 4, 1238-1264 (2012).

Reviewer: Florent P. Baudier (College Station)

MSC: 54E70 46B20

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Laowang, Worawut; Panyanak, Bancha

Common fixed points for some generalized multivalued nonexpansive mappings in uniformly convex metric spaces. (English) Zbl 1395.54050

Fixed Point Theory Appl. 2011, Paper No. 20, 9 p. (2011).

MSC: 54H25 54E40 54C60

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Sruthi, K. M.; Ravindran, K. T.

A note on fixed points. (English) Zbl 1252.47048

Appl. Math. Sci., Ruse 5, No. 57-60, 2891-2898 (2011).

MSC: 47H09 47H08

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Pasicki, Lech

Uniformly convex spaces, bead spaces, and equivalence conditions. (English) Zbl 1249.46011

Czech. Math. J. 61, No. 2, 383-388 (2011).

MSC: 46B20 54E35

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Lee, Byung-Soo

Strong convergence theorems with a Noor-type iterative scheme in convex metric spaces. (English) Zbl 1393.47032

Comput. Math. Appl. 61, No. 11, 3218-3225 (2011).

MSC: 47J25 47H09 54H25 65J15 54E40

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Dehghan, Hossein

Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projections. (English) Zbl 1308.47067

Appl. Math. Lett. 24, No. 9, 1584-1587 (2011).

MSC: 47J25 47H09

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Khamsi, M. A.; Khan, A. R.

Inequalities in metric spaces with applications. (English) Zbl 1246.46012

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4036-4045 (2011).

Reviewer: Jarosław Górnicki (Rzeszów)

MSC: 46B20 47H10 06F30 54E30

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Bernard, Frédéric; Thibault, Lionel; Zlateva, Nadia

Prox-regular sets and epigraphs in uniformly convex Banach spaces: various regularities and other properties. (English) Zbl 1216.49015

Trans. Am. Math. Soc. 363, No. 4, 2211-2247 (2011).

MSC: 49J52 58C06 58C20 90C30 49N60

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Chang, Shih-Sen; Yang, Li; Wang, Xiong Rui

Stronger convergence theorems for an infinite family of uniformly quasi-Lipschitzian mappings in convex metric spaces. (English) Zbl 1196.54066

Appl. Math. Comput. 217, No. 1, 277-282 (2010).

MSC: 54H25 47J25

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Hattori, Yasunao; Tsuiki, Hideki

Hyperbolic topology of normed linear spaces. (English) Zbl 1192.46026

Topology Appl. 157, No. 1, 77-82 (2010).

MSC: 46E30 54E35 54B10 54B20

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Raj, V. Sankar; Veeramani, P.

Best proximity pair theorems for relatively nonexpansive mappings. (English) Zbl 1213.47062

Appl. Gen. Topol. 10, No. 1, 21-28 (2009).

Reviewer: Satit Saejung (Khon Kaen)

MSC: 47H10

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Arzhantseva, Goulnara; Druţu, Cornelia; Sapir, Mark

Compression functions of uniform embeddings of groups into Hilbert and Banach spaces. (English) Zbl 1258.20032

J. Reine Angew. Math. 633, 213-235 (2009).

MSC: 20F65 20E08 46L99 20F69 46B85

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Hussain, N.; Khamsi, M. A.

On asymptotic pointwise contractions in metric spaces. (English) Zbl 1176.54031

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 10, 4423-4429 (2009).

Reviewer: Mihai Turinici (Iaşi)

MSC: 54H25 47H09 47H10 54C60

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Pasicki, Lech

Bead spaces and fixed point theorems. (English) Zbl 1171.54024

Topology Appl. 156, No. 10, 1811-1816 (2009).

Reviewer: Valeriu Popa (Bacău)

MSC: 54E35 54H25 47H09 52A05 54C65

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Found 131 Documents (Results 1–100)

Zeros of a functional associated with a family of search functionals. Corollaries for coincidence and fixed points of mappings of metric spaces. (English. Russian original) Zbl 07885095

Cyclic projection methods for solving the split common zero point problem in Banach spaces. (English) Zbl 07884571

Directional differentiability of the metric projection operator in uniformly convex and uniformly smooth Banach spaces. (English) Zbl 07814937

Optimization in Bochner spaces. (English) Zbl 1537.65073

Endpoint theorems for some generalized multi-valued nonexpansive mappings in uniformly convex geodesic spaces. (English) Zbl 07802881

Convergence theorem for an intermixed iteration in \(p\)-uniformly convex metric space. (English) Zbl 1525.65047

Chebyshev sets with piecewise continuous metric projection. (English. Russian original) Zbl 1520.41008

Noncyclic \(\varphi \)-contractions in hyperbolic uniformly convex metric spaces. (English) Zbl 07680456

On the UC and UC\(^*\) properties and the existence of best proximity points in metric spaces. (English) Zbl 07809190

Common endpoints of generalized Suzuki-Kannan-Ćirić type mappings in hyperbolic spaces. (English) Zbl 1524.54113

Best proximity point theorems for cyclic \(\theta\)-\(\phi\)-contraction on metric spaces. (English) Zbl 1520.54036

Approximation of fixed points of a finite family of multivalued Lipschitz pseudo-contractive mappings in Banach spaces implicit and explicit algorithms. (English) Zbl 07694596

Strong convergence for the problem of image recovery by the metric projections in Banach spaces. (English) Zbl 07620768

Fixed point theorems for operators with certain condition in p-uniformly convex metric spaces. (English) Zbl 07618161

A common solution of generalized equilibrium, zeros of monotone mapping and fixed point problems. (English) Zbl 1500.47103

Coincidence quasi-best proximity points for quasi-cyclic-noncyclic mappings in convex metric spaces. (English) Zbl 1487.54054

Ball-complete sets and solar properties of sets in asymmetric spaces. (English) Zbl 1506.46016

\( \alpha \)-firmly nonexpansive operators on metric spaces. (English) Zbl 1533.47057

Convergence of proximal splitting algorithms in \(\operatorname{CAT}(\kappa)\) spaces and beyond. (English) Zbl 07525617

Fixed point results for generalized nonexpansive and Suzuki mappings with application in \(L^1 (\Omega, \Sigma, \mu)\). (English) Zbl 1483.54028

Orthogonality in smooth countably normed spaces. (English) Zbl 1504.46017

The structure of fixed points set of a type of generalized nonexpansive mappings in convex metric spaces. (English) Zbl 1499.54186

On convergence theorems for single-valued and multi-valued mappings in \(p\)-uniformly convex metric spaces. (English) Zbl 1478.54104

Fixed points of Osilike-Berinde-\(G\)-nonexpansive mappings in metric spaces endowed with graphs. (English) Zbl 1478.54075

A generalization of the \((CN)\) inequality and its applications. (English) Zbl 1478.54079

Distances between convex combinations in Hadamard spaces. (English) Zbl 1487.54045

A note on the paper: “The asymptotic behavior of the composition of firmly nonexpansive mappings”. (English) Zbl 1533.47047

True preimages of compact or separable sets for functional analysts. (English) Zbl 1538.46002

Convex feasibility problems on uniformly convex metric spaces. (English) Zbl 07136207

Approximation semigroups and some convergence results in geodesic metric spaces. (English) Zbl 1478.47069

Tripartite coincidence-best proximity points and convexity in generalized metric spaces. (English) Zbl 1427.54060

Metrically convex functions and common fixed points of asymptotically nonexpansive semigroups. (Chinese. English summary) Zbl 1438.47097

Min-max property in metric spaces with convex structure. (English) Zbl 1438.54095

The split common fixed point problem for families of generalized demimetric mappings in Banach spaces. (English) Zbl 1491.47080

Coincidence best proximity points in convex metric spaces. (English) Zbl 1480.54030

Approximating distance between sets by multivalued coupling with application to uniformly convex Banach spaces. (English) Zbl 1497.54043

Remarks on monotone contractive type mappings in weighted graphs. (English) Zbl 1496.54031

Common endpoints for Suzuki mappings in uniformly convex hyperbolic spaces. (English) Zbl 1474.54188

Simultaneous determination of distance between sets by multivalued Kannan type coupling. (English) Zbl 1412.47109

Some geometric and proximinality properties in Banach spaces. (English) Zbl 1409.46010

Fibred cofinitely-coarse embeddability of box families and proper isometric affine actions on uniformly convex Banach spaces. (English) Zbl 1410.46014

Monotone asymptotic pointwise contractions. (English) Zbl 1499.54162

Strong proximinality in metric spaces. (English) Zbl 1474.41075

Best approximation, fixed points and invariant appproximation in linear metric spaces. (English) Zbl 1381.41027

Implicit Ishikawa type algorithm in hyperbolic spaces. (English) Zbl 1382.47024

The proximal point algorithm in uniformly convex metric spaces. (English) Zbl 1376.49043

Example of an antiproximinal, but not a 2-antiproximinal convex closed bounded body. (English. Russian original) Zbl 1379.46017

Convergence results of total asymptotically nonexpansive mappings on nonlinear domain. (English) Zbl 1480.47085

Fixed point theorems for multi-valued uniformly Lipschitzian mappings in Banach and metric spaces. (English) Zbl 1439.47037

Common fixed point iterations of non-Lipschitzian mappings in a convex metric space. (English) Zbl 1351.47047

S-iteration process for asymptotic pointwise nonexpansive mappings in complete hyperbolic metric spaces. (English) Zbl 1350.47041

Browder and Göhde fixed point theorem for \(G\)-nonexpansive mappings. (English) Zbl 1350.47039

Convergence of Noor-type iteration scheme with errors in a convex cone metric space. (English. Russian original) Zbl 1382.54024

Convergence theorems for finite families of total asymptotically nonexpansive mappings in hyperbolic spaces. (English) Zbl 1346.47031

Browder and Göhde fixed point theorem for monotone nonexpansive mappings. (English) Zbl 1436.47018

Approximating fixed points of mappings satisfying condition (\(E\)) in Busemann space. (English) Zbl 1337.54037

Viscosity approximation method for generalized asymptotically quasi-nonexpansive mappings in a convex metric space. (English) Zbl 1477.47087

Convergence of Ishikawa type iteration process for three quasi-nonexpansive mappings in a convex metric space. (English) Zbl 1349.47106

Common fixed point theorems for the finite family of uniformly quasi-\(\mathrm{sup}(f_n)\) Lipschitzian mappings and \(g_n\)-expansive mappings in convex metric spaces. (English) Zbl 1331.54053

The asymptotic behavior of the composition of firmly nonexpansive mappings. (English) Zbl 1329.47052

Strong convergence in Noor-type iterative schemes in convex cone metric spaces. (English) Zbl 1321.47145

Approximate fixed point sequences of nonlinear semigroup in metric spaces. (English) Zbl 1312.47072

Approximating common fixed points of semigroups in metric spaces. (English) Zbl 1310.47090

Resolvent flows for convex functionals and \(p\)-harmonic maps. (English) Zbl 1314.53071

Viscosity iterative method for a finite family of generalized asymptotically quasi-nonexpansive mappings in convex metric spaces. (English) Zbl 1318.47087

On spectral bounds for symmetric Markov chains with coarse Ricci curvature. (English) Zbl 1389.53062

Convergence of a general algorithm of asymptotically nonexpansive maps in uniformly convex hyperbolic spaces. (English) Zbl 1341.47083

Convergence of slices, geometric aspects in Banach spaces and proximinality. (English) Zbl 1331.46012

Coarse embedding into uniformly convex Banach spaces. (English) Zbl 1319.46018

Some common-fixed-point results for nonself asymptotically quasi-nonexpansive mappings by a two-step iterative process. (Some common-fixed-point results for nonself asymptotically qausi-nonexpansive mappings by a two-step iterative process.) (English) Zbl 1304.54084

Common fixed point results in uniformly convex metric spaces. (English) Zbl 1296.54078

Nonlinear spectral calculus and super-expanders. (English) Zbl 1306.46021

Yet another short proof of Bourgain’s distortion estimate for embedding of trees into uniformly convex Banach spaces. (English) Zbl 1314.46028

Fixed point of asymptotic pointwise nonexpansive semigroups in metric spaces. (English) Zbl 1292.47038

**On the UC and UC\(^*\) properties and the existence of best proximity points in metric spaces.** (English) Zbl 07809190