Results 91 to 100 of about 73,275 (204)
Journal of Mathematics, Volume 2026, Issue 1, 2026.The goal of this study is dedicated to the research on the fixed point iterative algorithm for solving the common fixed point problems in Hilbert spaces. In this study, we first propose the hybrid and shrinking projection algorithms of two different nonexpansive mappings for a class of algorithms with two iterative sequences to solve the common fixed ...
Shengquan Weng +2 more
wiley +1 more source
An Inertial Three‐Term Conjugate Gradient Projection Method With Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a robust inertial three‐term projection method for solving monotone nonlinear equations. The proposed approach extends existing nonlinear conjugate gradient (CG) methods for unconstrained optimization with inexact line search by incorporating an inertial mechanism and a redesigned three‐term search direction to enhance numerical ...
Muhammad Abdullahi +7 more
wiley +1 more source
Fixed points for generalized nonexpansive mappings in R-trees [PDF]
, 2011 We prove the existence of a fixed point for multivalued generalized nonexpansive mappings in an R-tree. In the case where these mappings commute with a quasi-nonexpansive mapping, we also prove existence of a common fixed ...
Markin, Jack, Jack Markin
core +1 more source
Reflexivity of Hilbert K(H)‐Modules and Fixed‐Point Property for Nonexpansive Mappings
Journal of Mathematics, Volume 2026, Issue 1, 2026.We prove that a Hilbert C∗‐module over the C∗‐algebra K(H) of all compact operators on a complex infinite dimensional Hilbert space H is reflexive as a Banach space if and only if its orthogonal dimension is finite. In particular, a Hilbert K(H)‐module has the fixed‐point property (FPP) for nonexpansive mappings if and only if it is reflexive as a ...
Kourosh Nourouzi, Smritijit Sen
wiley +1 more source
Fixed Point Theory and Applications, 2010 We prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert spaces. Our results extend and improve the recent results of Nakajo and Takahashi (2003) and of Zegeye and Shahzad (2008) from ...
Kumam Poom, Wattanawitoon Kriengsak
doaj
Iteration of order preserving subhomogeneous maps on a cone [PDF]
, 2006 We investigate the iterative behaviour of continuous order preserving subhomogeneous maps $f: K\,{\rightarrow}\, K$, where $K$ is a polyhedral cone in a finite dimensional vector space. We show that each bounded orbit of $f$ converges to a periodic orbit
Akian, Marianne +5 more
core +1 more source
Approximating solutions of variational inequalities for asymptotically nonexpansive mappings
, 2009 By using viscosity approximation methods for asymptotically nonexpansive mappings in Banach spaces, some sufficient and necessary conditions for a new type of iterative sequences to converging to a fixed point which is also the unique solution of some ...
Kim, JK +7 more
core +1 more source
On common fixed points of asymptotically nonexpansive mappings in the intermediate sense [PDF]
, 2004 summary:Some strong convergence theorems of common fixed points of asymptotically nonexpansive mappings in the intermediate sense are obtained. The results presented in this paper improve and extend the corresponding results in Huang, Khan and Takahashi,
Huang, Jui-Chi
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Convergence theorems of modified Ishikawa iterations in Banach spaces
Results in Nonlinear Analysis, 2019 In this paper, we introduce the modified iterations of Ishikawa type for nonexpansive mappings (nonexpansive semigroups) to have the strong convergence in a uniformlyconvex Banach space.
Shengquan Weng
doaj
Journal of Applied Mathematics, 2012 We unify all known iterative methods by introducing a new explicit iterative scheme for approximation of common fixed points of finite families of total asymptotically I-nonexpansive mappings.
Farrukh Mukhamedov, Mansoor Saburov
doaj +1 more source