Found 154 Documents (Results 1–100)
Korneichuk-Stechkin lemma, Ostrowski and Landau inequalities, and optimal recovery problems for \(L\)-space valued functions. (English) Zbl 1542.41020
Reviewer: Mehmet Küçükaslan (Mersin)
Corrigendum to: “Fixed point theorem and related nonlinear analysis by the best approximation method in \(p\)-vector spaces”. (English) Zbl 07723935
Reviewer: Jürgen Appell (Würzburg)
Diametrically relatively nonexpansive mappings and a characterization of proximal normal structure. (English) Zbl 1533.47048
Reviewer: Andrzej Wiśnicki (Kraków)
Fixed point theorem and related nonlinear analysis by the best approximation method in \(p\)-vector spaces. (English) Zbl 07663968
Numer. Funct. Anal. Optim. 44, No. 4, 221-295 (2023); corrigendum ibid. 44, No. 10, 1094-1096 (2023; Zbl 07723935).
Reviewer: Jürgen Appell (Würzburg)
An approximation problem in the space of bounded operators. (English) Zbl 1529.46012
Reviewer: Henrik Wirzenius (Tampere)
Operators Birkhoff-James orthogonal to spaces of operators. (English) Zbl 07431317
Reviewer: Jorge Tomás Rodríguez (Tandil)
KW-type nonlinear contractions and their best proximity points. (English) Zbl 1473.54044
Reviewer: Jarosław Górnicki (Rzeszów)
Existence and iterative approximation of hybrid best proximity points for set-valued mappings. (English) Zbl 07383314
Best proximity point results for contractive and cyclic contractive type mappings. (English) Zbl 1497.54050
Existence of best proximity pairs and a generalization of Carathéodory theorem. (English) Zbl 07336616
Edelstein’s theorem for cyclic contractive mappings in strictly convex Banach spaces. (English) Zbl 1518.47087
Reviewer: Stefan Czerwik (Gliwice)
Optimal recovery of monotone operators in partially ordered \(L\)-spaces. (English) Zbl 1448.41030
Reviewer: Stefan Cobzaş (Cluj-Napoca)
A new approach to derivatives in \(L^2\)-spaces. (English) Zbl 1447.41012
Reviewer: T.S.S.R.K. Rao (Bangalore)
Extension of the best constant approximation operator in Orlicz spaces. (English) Zbl 1436.41018
Reviewer: T.S.S.R.K. Rao (Bangalore)
Best proximity points of \(\mathcal{MT}\)-cyclic contractions with property UC. (English) Zbl 1436.54031
Best proximity points and fixed points results for noncyclic and cyclic Fisher quasi-contractions. (English) Zbl 07060066
Best proximity point theorems for some special proximal contractions. (English) Zbl 07060057
MSC:
47H10
Generalized acyclic contractions, acyclic contractions, and reverse acyclic contractions. (English) Zbl 1437.54041
Reviewer: Sumit Chandok (Patiala)
Perturbation analysis of the algebraic metric generalized inverse in \(L^p(\Omega,\mu)\). (English) Zbl 1491.47001
Estimates for weighted \(K\)-functionals using the least concave majorant of weighted moduli of continuity. (English) Zbl 1381.41011
Local uniform strong proximinality of the space of continuous vector-valued functions. (English) Zbl 1387.46018
Reviewer: Costică Mustăţa (Cluj-Napoca)
Remarks on minimal sets for cyclic mappings in uniformly convex Banach spaces. (English) Zbl 1458.47028
Best proximity point theorems for asymptotically relatively nonexpansive mappings. (English) Zbl 1344.47037
Best approximation from the Kuhn-Tucker set of composite monotone inclusions. (English) Zbl 1337.47084
Best proximity points and fixed point results for certain maps in Banach spaces. (English) Zbl 1354.47037
Reviewer: Jarosław Górnicki (Rzeszów)
Best proximity pair results for relatively nonexpansive mappings in geodesic spaces. (English) Zbl 1301.54066
Optimal recovery of isotropic classes of \(r\)th differentiable functions on \(\mathbb{R}^d\). (English) Zbl 1293.41008
Proximinality properties in \(L_p(\mu ,X)\) and polyhedral direct sums of Banach spaces. (English) Zbl 1293.41017
On the structure of minimal sets of relatively nonexpansive mappings. (English) Zbl 1285.47062
Reviewer: Jarosław Górnicki (Rzeszów)
Subweakly biased pairs and Jungck contractions with applications. (English) Zbl 1242.47044
Reviewer: Edward Prempeh (Kumasi)
A note on existence and convergence of best proximity points for pointwise cyclic contractions. (English) Zbl 1237.54052
Reviewer: Delfina Roux (Milano)
Average performance of the sparsest approximation using a general dictionary. (English) Zbl 1243.68313
Reviewer: Wiesław Kotarski (Sosnowiec)
Optimal subspaces for \(n\) -widths of bounded subsets in Hilbert spaces. (English) Zbl 1229.41029
Reviewer: Michael Karlov (Moskva)
MSC:
41A50
Best approximation in numerical radius. (English) Zbl 1222.41026
Reviewer: Vijay Gupta (New Delhi)
Remotal sets in Orlicz spaces. (English) Zbl 1220.46009
\(I_m\)-quasi upward sets, with their best approximations. (English) Zbl 1215.41010
Reviewer: T. D. Narang (Amritsar)
Extensions of Banach’s contraction principle. (English) Zbl 1200.54021
Reviewer: Stefan Cobzaş (Cluj-Napoca)
MSC:
54H25
Remark on a paper of Sababheh and Khalil. (English) Zbl 1184.46019
Reviewer: Roshdi Khalil (Amman)
Coincidences of Lipschitz-type hybrid maps and invariant approximation. (English) Zbl 1145.54040
Reviewer: T. D. Narang (Amritsar)
Best simultaneous approximation and its applications in \(C_{\mathbb R}(Q)\). (English) Zbl 1131.41006
Reviewer: Dan Bārbosu (Baia Mare)
Best approximation in \(\mathbb R\)-trees. (English) Zbl 1132.54025
Numer. Funct. Anal. Optim. 28, No. 5-6, 681-690 (2007); erratum ibid. 30, No. 3-4, 403 (2009).
Reviewer: Nawab Hussain (Jeddah)
One-sided \(L^{1}\) norm and best approximation in one-sided \(L^{1}\) norm. (English) Zbl 1148.41027
Reviewer: H. P. Dikshit (Bhopal)
Toward best approximation of nonlinear systems: a case of models with memory. (English) Zbl 1138.93309
Best approximation in a class of normed spaces with star-shaped cone. (English) Zbl 1098.41036
Reviewer: Costica Mustăţa (Cluj-Napoca)
Pólya-type polynomial inequalities in \(L^p\) spaces and best local approximation. (English) Zbl 1092.41006
Reviewer: László Leindler (Szeged)
Invariant approximations for generalized \(I\)-contractions. (English) Zbl 1084.41023
Reviewer: Victor Milman (Minsk)
Generalized deviations and best approximation theory. (English) Zbl 1072.41015
Reviewer: Hang Tong Lau (Montréal)
A global approach to nonlinearly constrained best approximation. (English) Zbl 1072.41019
Reviewer: Martin D. Buhmann (Gießen)
Isomorphisms, Schauder bases in Banach spaces, and numerical solution of integral and differential equations. (English) Zbl 1079.65067
Reviewer: Erwin Schechter (Moers)
Downward sets and their best simultaneous approximation properties with applications. (English) Zbl 1068.41038
Reviewer: Hang Tong Lau (Montréal)
Proximinal retracts and best proximity pair theorems. (English) Zbl 1054.47040
Reviewer: Lech Górniewicz (Toruń)
Rational approximation in \(L_\phi\) spaces on a finite union of disjoint intervals. (English) Zbl 1026.41020
Reviewer: J.M.Quesada (Jaen)
On convergence in discretized minimization problems. (English) Zbl 0992.65049
Reviewer: Constantin Popa (Constantza)
Uniqueness of best \(\phi\)-approximation by 3-convex functions. (English) Zbl 0984.41016
Reviewer: Raymond Mortini (Metz)
On the best recovery of a linear functional in a certain class of bivariate functions. (English) Zbl 0970.41019
Reviewer: Ioan Şerb (Cluj-Napoca)
Best approximation of finite sets in normed linear spaces. (English) Zbl 0964.41016
Reviewer: T.D.Narang (Amritsar)
MSC:
41A50
On a theorem of Jackson type in \(k\) dimensions. (English) Zbl 0957.41019
Reviewer: Ioan Şerb (Cluj-Napoca)
MSC:
41A50
Duality for optimization and best approximation over finite intersections. (English) Zbl 0923.46071
Reviewer: N.D.Sengupta (Bombay)
Best approximations and fixed points of nonexpansive maps in Hilbert spaces. (English) Zbl 0911.47050
Reviewer: Aleksandra Rodkina (Mona /Jamaica)
Numerical estimation of projection constants. (English) Zbl 0895.41004
Reviewer: I.Şerb (Cluj-Napoca)
The similarity between the best approximation and the best copositive approximation. (English) Zbl 0907.41016
Reviewer: M.A.Jiménez (Puebla)
Convergence of \(\|\;\|_ \varphi\) approximations to the strict approximation in \(\mathbb{R}^ n\). (English) Zbl 0824.41029
A strict best approximant by non-decreasing functions. (English) Zbl 0873.41024
Reviewer: D.Zarnadze (Tbilisi)
Strong convergence of expected-projection methods in Hilbert spaces. (English) Zbl 0834.65041
Reviewer: V.Berinde (Baia Mare)
\(H_ \infty\) norm approximation of discrete-time systems by constant matrices. (English) Zbl 0827.93022
A resonance principle with rates in connection with pointwise estimates for the approximation by interpolation processes. (English) Zbl 0873.41003
Reviewer: D.Leviatan (Tel Aviv)
A theorem of Gopengauz type with added interpolatory conditions. (English) Zbl 0838.41011
Reviewer: J.Prestin (Rostock)
The Cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space. (English) Zbl 0802.47049
Best restricted range approximation. (English) Zbl 0794.41020
MSC:
41A50
New effective moduli of uniqueness and uniform a priori estimates for constants of strong unicity by logical analysis of known proofs in best approximation theory. (English) Zbl 0795.41020
MSC:
41A50
The strong derivative of the best approximation operator. (English) Zbl 0802.41025
Reviewer: S.S.Dragomir (Timişoara)
On the proximinality of compact operators over spaces of measurable functions. (English) Zbl 0760.41027
Reviewer: A.Kamal
Uniqueness of best \(\alpha\)-norm approximation and \(A\)-spaces. (English) Zbl 0763.41027
MSC:
41A50
A family of natural best \(L_ 1\)-approximants by nondecreasing functions. (English) Zbl 0763.41024
MSC:
41A50
Polya properties in \(\mathbb{R}^ n\). (English) Zbl 0768.41025
Reviewer: W.H.Fuchs (Ithaca)
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