Results 51 to 60 of about 1,128,824 (222)

On the fixed points of affine nonexpansive mappings

International Journal of Mathematics and Mathematical Sciences, 2001
Let K be a closed convex bounded subset of a Banach space X and let T:K→K be a continuous affine mapping. In this note, we show that (a) if T is nonexpansive then it has a fixed point, (b) if T has only one fixed point then the mapping A=(I+T)/2 is a ...
Hülya Duru
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

Strength and Volume Change Behavior of Expansive Subgrade Soil Treated With Cement, Sugarcane Bagasse, and Nylon Fibers

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, Sazid Alam Shurid, Abdullah Muhammad Asif, Fayeq Tazwar, Promita Chakraborty, Mohammad Rezwan Habib   +5 more
wiley   +1 more source

Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces

Journal of Applied Mathematics, 2012
The convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge to ...
Zhanfei Zuo
doaj   +1 more source

Some New Fixed Point Results in Banach Space for Enriched Contraction in Terms of Krasnoselskii Iteration

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, Dimple Singh, Ramandeep Behl, Cristina Amorós, Qamar Din   +4 more
wiley   +1 more source

Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we discuss SPK iterative algorithm for approximating fixed point of monotone generalized $\alpha$-nonexpansive mapping  in the setting of partially ordered hyperbolic spaces.
Samir Dashputre, Kavita Sakure
doaj   +1 more source

An Inertial‐Based Hybrid PRP‐HS‐Type CGP Algorithm for Nonlinear Equations With Convex Constraints and Its Applications

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

On directionally nonexpansive mappings

European Journal of Mathematics
AbstractIn 2000, W.A. Kirk introduced the concept of directionally nonexpansive mappings. Here, we present a more comprehensive study of this class of mappings, including a fixed-point result for them. We further present a class of mappings, properly containing the directionally nonexpansive ones, for which Kirk’s theorem still holds.
openaire   +1 more source

A Depth‐Ordered Forwarding Game With Niche‐Confined Evolutionary Recovery for Energy‐Efficient Underwater Wireless Sensor Networks

International Journal of Intelligent Systems, Volume 2026, Issue 1, 2026.
Underwater wireless sensor networks operate under scarce acoustic bandwidth, long propagation delay, depth‐dependent attenuation, and a fixed energy budget that is rarely replenished. We propose the Hawk–Dove Game Optimization Algorithm with Elite Niche Clone Evolutionary Computing (HDGOA‐ENCEC), a routing protocol that couples a depth‐ordered ...
Refan Almohamedh, Michaelraj Kingston Roberts, Wai Kit Wong, Poh Kiat Ng, Fadl Dahan, Mohammed Aloqaily, Kallol Mohanta   +6 more
wiley   +1 more source

Fixed-Point Theorems for Mean Nonexpansive Mappings in Banach Spaces

Abstract and Applied Analysis, 2014
We define a mean nonexpansive mapping T on X in the sense that Tx-Ty≤ax-y+bx-Ty, a,b≥0,a+b≤1. It is proved that mean nonexpansive mapping has approximate fixed-point sequence, and, under some suitable conditions, we get some existence and uniqueness ...
Zhanfei Zuo
doaj   +1 more source