Results 61 to 70 of about 1,226,787 (172)
, 2014 In this paper, we introduce a new class of Lipschitzian maps and prove some weak and strong convergence results for explicit iterative process using a more satisfactory definition of self mappings.
Purtas, Yunus +2 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.The aim of this paper is to present a novel stationary and nonstationary iterative approach for approximating common fixed points of a finite family of generalized nonexpansive mappings in uniformly convex Banach spaces. For the stationary scheme, both strong and weak convergence theorems are established under standard geometric conditions.
Sehar Afsheen +4 more
wiley +1 more source
New Iterative Schemes for Asymptotically Quasi-Nonexpansive Mappings [PDF]
Journal of Inequalities and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yonghong Yao, Yeong-Cheng Liou
openaire +4 more sources
Convergence Behavior of the F∗ Algorithm: Strong and Weak Results for Nonexpansive Mappings
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study examines the strong and weak convergence of the F∗ iterative approach to the fixed point of a nonexpansive mapping in the context of a Banach space. This work shows improved rate and efficiency of convergence. Furthermore, we proved that F∗ iterative algorithm converges to a fixed point faster than Picard, Mann, S, and Varat iterative ...
Anju Panwar +3 more
wiley +1 more source
On Modified Noor Iterations for Asymptotically Nonexpansive Mappings
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Fixed point of nonself total asymptotically nonexpansive mappings in Banach Spaces [PDF]
, 2017 In this work, a new concept of nonself total asymptotically nonexpansive mapping is introduced and an iterative process is considered for two nonself totally asymptotically nonexpansive mappings.
Dutta, Hemen +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Using the implicit midpoint rule (IMR), we provide Δ‐convergence and strong convergence theorems for a finite family of nonexpansive mappings in the context of uniformly convex hyperbolic spaces. We additionally prove these conclusions in the context of CAT(0) spaces and uniformly convex Banach spaces as noteworthy specific examples for completeness ...
Hafiz Fukhar Ud Din +5 more
wiley +1 more source
Fixed Point Theory and Applications, 2010 We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi- -nonexpansive mapping and an asymptotically quasi-nonexpansive mapping , defined on a nonempty closed convex subset of a ...
Mukhamedov Farrukh, Saburov Mansoor
doaj
Fixed point theorems for nonexpansive mappings on nonconvex sets in UCED Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2002 It is shown that every asymptotically regular or λ-firmly nonexpansive mapping T:C→C has a fixed point whenever C is a finite union of nonempty weakly compact convex subsets of a Banach space X which is uniformly convex in every direction.
Wei-Shih Du +2 more
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This research develops a computational framework utilizing viscosity extragradient iterations to simultaneously solve split monotone variational inclusion, variational inequality, and fixed‐point problems. The methodology handles finite collections of ϵ‐strict pseudocontractive operators and nonexpansive mappings within Hilbert space settings ...
Ghada AlNemer +3 more
wiley +1 more source