Results 61 to 70 of about 73,275 (204)
A New Iterative Scheme of Modified Mann Iteration in Banach Space
Abstract and Applied Analysis, 2014 We introduce the modified iterations of Mann's type for nonexpansive mappings and asymptotically nonexpansive mappings to have the strong convergence in a uniformly convex Banach space.
Jinzuo Chen, Dingping Wu, Caifen Zhang
doaj +1 more source
Approximating fixed points of nonexpansive and generalized nonexpansive mappings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 في هذه الورقة، نعتبر رسم الخرائطSمن النموذجS=α0I+α1T+α2T2+...+αKTK، حيثαi≥0.α1>0مع α i=0kαi=1، ونوضح أنه في مساحة بنك محدبة بشكل موحد، تتقارب تكرارات Picard لـ S إلى نقطة ثابتة منTعندما يكونTغير موسع أو معمم غير موسع أو حتى شبه موسع.
Manoranjan Maiti, Biswajyoti Saha
openaire +3 more sources
Advances in Materials Science and Engineering, Volume 2026, Issue 1, 2026.Expansive subgrade soils pose persistent challenges to pavement and foundation engineering due to their pronounced shrink–swell behavior and limited load‐bearing capacity. This study investigates a hybrid stabilization strategy that combines ordinary Portland cement with sugarcane bagasse fibers and synthetic nylon fibers to simultaneously enhance ...
Shantanu Paul +5 more
wiley +1 more source
Fixed points of α-nonexpansive mappings [PDF]
, 2016 This paper is connected with the theory of a-nonexpansive mappings, which were introduced by K. Goebel and M. A. J. Pineda in 2007. These mappings are a natural generalisation of nonexpansive mappings from the point of view of the fixed point theory.
Wesołowski, Krzysztof
core
European Journal of Mathematical Analysis, 2021 We propose a three-step iteration scheme of hybrid mixed-type for three total asymptotically nonexpansive self mappings and three total asymptotically nonexpansive nonself mappings.
Imo Kalu Agwu +2 more
doaj +1 more source
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.In this article, several new fixed point results are established by employing the Krasnoselskii iteration method for a pair of self‐mappings in Banach spaces. It explores the idea of enriched contraction, conditionally sequential absorbing mappings, and various types of continuity terms. Further, to support our main result, an example is provided which
Priya Goel +4 more
wiley +1 more source
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.It is our aim to propose a new iterative algorithm with an inertial term involving asymptotically nonexpansive mapping in the framework of Hilbert spaces. Let T : H⟶H be asymptotically nonexpansive mapping with F(T) ≠ ∅ ∅ and let xnn≥0 be defined by xn+1 = σnzn + bn(Tnσnzn − σnzn) + εn, ∀n ≥ 1.
Emmanuel Akaligwo +5 more
wiley +1 more source
Convergence theorems for a common fixed point of a finite family of nonself nonexpansive mappings
Fixed Point Theory and Applications, 2005 Let K be a nonempty closed convex subset of a reflexive real Banach space E which has a uniformly Gâteaux differentiable norm. Assume that K is a sunny nonexpansive retract of E with Q as the sunny nonexpansive retraction. Let Ti:K→E, i=1,â€
Naseer Shahzad +2 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper presents an inertial‐based hybrid conjugate gradient projection algorithm for solving nonlinear equations with convex constraints. The proposed algorithm integrates Polak–Ribière–Polyak and Hestenes–Stiefel methods within a conjugate gradient framework, incorporating an inertial‐relaxed technique to accelerate iterative convergence.
Yan Xia, Dandan Li, Nian-Sheng Tang
wiley +1 more source
Monotone Generalized ?-Nonexpansive Mappings on CATp(0) Spaces
, 2023 We examine the existence of fixed points of generalized alpha-nonexpansive mappings on CAT(p)(0) spaces. We establish various convergence results for a newly defined algorithm associated with alpha-nonexpansive mappings and present some illustrative ...
Gursoy, Faik +2 more
core +1 more source