Found 1,146 Documents (Results 1–100)
Certain fixed point results for asymptotically \(\mathcal{R}\)-nonexpansive mappings. (English) Zbl 07920588
Convergence, stability, and data dependence results for a new iteration method in Banach space. (English) Zbl 07906603
Shrinking hybrid method for multiple-sets split feasibility problems and variational inequality problems. (English) Zbl 07906432
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces. (English) Zbl 07900581
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
Math. Notes 115, No. 6, 959-972 (2024); translation from Mat. Zametki 115, No. 6, 897-913 (2024).
Cyclic projection methods for solving the split common zero point problem in Banach spaces. (English) Zbl 07884571
Monotone orbitally nonexpansive and cyclic mappings in partially ordered uniformly convex Banach spaces. (English) Zbl 07880375
Balayage theorems for connectedness problems in uniformly convex spaces. (English) Zbl 1543.41019
Reviewer: Stefan Cobzaş (Cluj-Napoca)
Inertial Halpern-type iterative algorithm for the generalized multiple-set split feasibility problem in Banach spaces. (English) Zbl 07844018
Singular integrals in uniformly convex spaces. (English) Zbl 07837911
Godefroy, Gilles (ed.) et al., Geometry of Banach spaces and related fields. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 106, 189-211 (2024).
Dynamic stepsize iteration process for solving split common fixed point problems with applications. (English) Zbl 07833321
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
Reviewer: Steven B. Damelin (Ann Arbor)
A new iterative scheme for approximation of fixed points of Suzuki’s generalized non-expansive mappings. (English) Zbl 07920937
Existence and approximating of common best proximity points of relatively nonexpansive mappings via Ishikawa iteration method. (English) Zbl 07884500
Approximative solar properties of sets and local geometry of the unit sphere. (English) Zbl 1537.41023
Reviewer: Manfred Tasche (Rostock)
On a generalization of a relatively nonexpansive mapping and best proximity pair. (English) Zbl 07833700
A novel Noor iterative technique for mixed type asymptotically nonexpansive mappings in hyperbolic spaces. (English) Zbl 07829183
Optimal \((\omega,c)\)-asymptotically periodic mild solutions to some fractional evolution equations. (English) Zbl 07818961
Endpoint theorems for some generalized multi-valued nonexpansive mappings in uniformly convex geodesic spaces. (English) Zbl 07802881
Convergence theorems for families of monotone nonexpansive mappings in uniformly convex Banach spaces. (English) Zbl 07788565
On stability of almost surjective functional equations of uniformly convex Banach spaces. (English) Zbl 1532.39014
Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings. (English) Zbl 1531.47012
Common fixed points approximation of two generalized alpha nonexpansive mappings in partially ordered uniformly convex Banach space. (English) Zbl 1535.47013
Existence and estimation of the fixed points of enriched Berinde nonexpansive mappings. (English) Zbl 1538.47082
Convergence theorem for an intermixed iteration in \(p\)-uniformly convex metric space. (English) Zbl 1525.65047
A generalization of the Goebel-Kirk fixed point theorem for asymptotically nonexpansive mappings. (English) Zbl 07725411
Convergence analysis of M-iteration for \(\mathcal{G}\)-nonexpansive mappings with directed graphs applicable in image deblurring and signal recovering problems. (English) Zbl 07720273
Fixed point approximation for a class of generalized nonexpansive multi-valued mappings in Banach spaces. (English) Zbl 1525.47122
Chebyshev sets with piecewise continuous metric projection. (English. Russian original) Zbl 1520.41008
Math. Notes 113, No. 6, 840-849 (2023); translation from Mat. Zametki 113, No. 6, 905-917 (2023).
Reviewer: Stefan Cobzaş (Cluj-Napoca)
Hermite-Hadamard type inequalities for uniformly convex functions with respect to geodesic in Hadamard space. (English) Zbl 1524.26045
Corrigendum to: “A new iteration method for fixed point of nonexpansive mapping in uniformly convex Banach space”. (English) Zbl 1522.47109
Noncyclic \(\varphi \)-contractions in hyperbolic uniformly convex metric spaces. (English) Zbl 07680456
On extension of uniformly continuous quasiconvex functions. (English) Zbl 1523.26006
Reviewer: Sorin-Mihai Grad (Paris)
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
Uniformly and locally convex asymmetric spaces. (English. Russian original) Zbl 1531.41033
Sb. Math. 213, No. 10, 1444-1469 (2022); translation from Mat. Sb. 213, No. 10, 139-166 (2022).
MSC:
41A65
Approximation of fixed points for multi-valued \(G\)-nonexpansive mappings through Ullah iteration scheme in uniformly convex Banach spaces endowed with graph. (English) Zbl 1530.47082
Approximation of fixed points of a finite family of multivalued Lipschitz pseudo-contractive mappings in Banach spaces implicit and explicit algorithms. (English) Zbl 07694596
A new iteration method for fixed point of nonexpansive mapping in uniformly convex Banach space. (English) Zbl 1514.47106
Korean J. Math. 30, No. 4, 665-678 (2022); corrigendum ibid. 31, No. 1, 121-122 (2023).
Hybrid proximal point algorithm for solving split equilibrium problems and its applications. (English) Zbl 1513.47129
A nonlinear mean convergence theorem for two monotone nonexpansive mappings in Banach spaces. (English) Zbl 07644617
Reviewer: Teffera M. Asfaw (Blacksburg)
Efficient fixed-point iteration for generalized nonexpansive mappings and its stability in Banach spaces. (English) Zbl 07643019
Convergence of the operator extrapolation method for variational inequalities in Banach spaces. (English. Ukrainian original) Zbl 07630538
Cybern. Syst. Anal. 58, No. 5, 740-753 (2022); translation from Kibern. Sist. Anal. 58, No. 5, 79-83 (2022).
Convergence of the method of extrapolation from the past for variational inequalities in uniformly convex Banach spaces. (English. Ukrainian original) Zbl 07630522
Cybern. Syst. Anal. 58, No. 4, 564-575 (2022); translation from Kibern. Sist. Anal. 58, No. 4, 82-93 (2022).
On representation of functionals on ultraproduct Banach spaces and its applications to super weakly compact sets. (English) Zbl 1513.46022
Strong convergence for the problem of image recovery by the metric projections in Banach spaces. (English) Zbl 07620768
Existence of fixed points for pointwise eventually non-expansive mappings in modular spaces. (English) Zbl 1502.54035
Fixed point theorems for operators with certain condition in p-uniformly convex metric spaces. (English) Zbl 07618161
Nonlinear aspects of super weakly compact sets. (Aspects non linéaires des ensembles super faiblement compacts.) (English. French summary) Zbl 1509.46013
Reviewer: Gilles Godefroy (Paris)
Mean convergence theorems for double array of fuzzy random variables in metric spaces. (English) Zbl 1509.60007
Hermite-Hadamard type integral inequalities for uniformly convex functions by using Riemann-Liouville fractional integral transformations with respect to geodesic in Hadamard space. (English) Zbl 1495.26024
A new and faster iterative scheme including generalized \(\alpha\)-nonexpansive mappings in Banach spaces. (English) Zbl 1500.47113
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
Strong convergence of a new hybrid iterative scheme for nonexpansive mappings and applications. (Strong convergence of a new hybrid iterative scheme for nonexpensive mappings and applications.) (English) Zbl 1501.47112
Cyclic uniform Lipschitzian mappings and proximal uniform normal structure. (English) Zbl 1495.47081
A novel algorithm with self-adaptive technique for solving variational inequalities in Banach spaces. (English) Zbl 1507.49008
Olenev, Nicholas N. (ed.) et al., Advances in optimization and applications. 12th international conference, OPTIMA 2021, Petrovac, Montenegro, September 27 – October 1, 2021. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 1514, 50-64 (2021).
A new iterative algorithm for approximation of fixed points of multivalued generalized \(\alpha\)-nonexpansive mappings. (English) Zbl 1498.47145
A novel iterative scheme of operators with property \((E)\) and its applications. (English) Zbl 1505.47111
Convergence of proximal splitting algorithms in \(\operatorname{CAT}(\kappa)\) spaces and beyond. (English) Zbl 07525617
Solving split equality fixed point problem for quasi-\( \phi \)-nonexpansive mappings. (English) Zbl 1500.47107
Convergence results of K iteration process for nonexpansive mappings with an application. (English) Zbl 1482.47093
Weak and strong convergence theorems for three Suzuki’s generalized nonexpansive mappings. (English) Zbl 1497.47116
Fixed point results for generalized nonexpansive and Suzuki mappings with application in \(L^1 (\Omega, \Sigma, \mu)\). (English) Zbl 1483.54028
MSC:
54H25
Convergence and stability of an iteration process and solution of a fractional differential equation. (English) Zbl 1495.47118
Error analysis of the kernel regularized regression based on refined convex losses and RKBSs. (English) Zbl 1478.62095
Fixed point theorems on generalized \(\alpha\)-nonexpansive multivalued mappings. (English) Zbl 1482.47094
The new hybrid iterative algorithm for numerical reckoning fixed points of Suzuki’s generalized nonexpansive mappings with numerical experiments. (English) Zbl 1485.47118
The structure of fixed points set of a type of generalized nonexpansive mappings in convex metric spaces. (English) Zbl 1499.54186
Reviewer: T. D. Narang (Amritsar)
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
Mann and Ishikawa iterative processes for cyclic relatively nonexpansive mappings in uniformly convex Banach spaces. (English) Zbl 1474.90513
A common solution of generalized equilibrium problems and fixed points of pseudo-contractive-type maps. (English) Zbl 1510.47091
The locally \(k\)-uniformly extremely convex and midpoint locally \(k\)-uniformly extremely convex Banach spaces. (English) Zbl 1487.46021
MSC:
46B20
Estimation of fixed points of Hardy and Rogers generalized non-expansive mappings. (English) Zbl 07397345
Iterative approximations of fixed points for operators satisfying \((B_{\gamma ,\mu })\) condition. (English) Zbl 1482.47139
Approximating common fixed point via Ishikawa’s iteration. (English) Zbl 1515.47115
Reviewer: Vasile Berinde (Baia Mare)
The split common null point problem for Bregman generalized resolvents in two Banach spaces. (English) Zbl 1487.47104
Split variational inclusions for Bregman multivalued maximal monotone operators. (English) Zbl 07375354
MSC:
47J25
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