Results 81 to 90 of about 1,172,576 (205)

Convergence of Picard–CR Iterative Algorithm and Applications

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
In applied mathematics, graph theory (GT) is a notably compelling area of study. In the last 50 years, the number of mathematicians making contributions to research in this field has consistently increased. This rising interest is mainly a result of the significant real‐world applications it offers.
Suheyla Elmas, Marko Kostic
wiley   +1 more source

Convergence Theorems of Variational Inequality for Asymptotically Nonexpansive Nonself Mapping in CAT(0) Spaces

open access: yes, 2019
The aim of this manuscript is to get the strong convergence theorems of the Moudafi’s viscosity approximation methods for an asymptotically nonexpansive nonself mapping in C A T ( 0 ...
Kyung Soo Kim
core   +1 more source

Stationary and Nonstationary Iterative Methods for Generalized Nonexpansive Mappings in Uniformly Convex Banach Spaces

open access: yesJournal 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

Fixed Point Results for Coupled Large Kannan Contraction Using W‐Distance and Its Application to Integral Equations

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In the present paper, we employ the notion of w‐distance to prove a large Kannan‐type contraction inequality in metric spaces. The notion of a coupled large Kannan contraction is introduced, and by using the Geraghty‐type control function, we derive fixed point results in metric spaces with and without partial order.
Priyam Chakraborty   +4 more
wiley   +1 more source

Path Convergence and Approximation of Common Zeroes of a Finite Family of m-Accretive Mappings in Banach Spaces

open access: yesAbstract and Applied Analysis, 2010
Let E be a real Banach space which is uniformly smooth and uniformly convex. Let K be a nonempty, closed, and convex sunny nonexpansive retract of E, where Q is the sunny nonexpansive retraction. If E admits weakly sequentially continuous duality mapping
Yekini Shehu, Jerry N. Ezeora
doaj   +1 more source

Δ-CONVERGENCE THEOREM FOR TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPING IN UNIFORMLY CONVEX HYPERBOLIC SPACES

open access: yes, 2014
Recently, Chang, et al introduce the concept of total asymptotically nonexpansive mapping which contain the asymptotically nonexpansive mapping.  The purpose of the paper is to analyze a three-step iterative scheme for total asymptotically ...
Tu, Zhengwen   +4 more
core  

Strong convergence of an explicit iteration process for a totally asymptotically I-nonexpansive mapping in Banach spaces

open access: yes, 2010
In this work we prove the strong convergence of an explicit iterative process to a common fixed point of a totally asymptotically I-nonexpansive mapping T and a totally asymptotically nonexpansive mapping I, defined on a nonempty closed convex subset of ...
Mukhamedov, Farrukh   +3 more
core   +1 more source

An Alternative Regularization Method for Equilibrium Problems and Fixed Point of Nonexpansive Mappings

open access: yesJournal of Applied Mathematics, 2012
We introduce a new regularization iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping. Then, we prove a strong convergence theorem for nonexpansive mappings to solve a unique solution of the variational inequality and the
Shuo Sun
doaj   +1 more source

A new approach to relatively nonexpansive mappings

open access: yes, 2008
In this paper we study the nonexpansivity of the so-called relatively nonexpansive mappings. A relatively nonexpansive mapping with respect to a pair of subsets of a Banach space is a mapping defined from into such that for and .
Espínola García, Rafael
core   +1 more source

Weak and strong convergence of an explicit iteration process for an asymptotically quasi-i-nonexpansive mapping in Banach spaces

open access: yes, 2012
In this paper, we prove the weak and strong convergence of an explicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex ...
Purtas, Yunus, KIZILTUNÇ, Hükmi
core  

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