Results 31 to 40 of about 187 (124)

Equivalence Class Characterizations of Near Fixed Points and Interval Ellipses in Coupled Metric and G‐Metric Spaces With Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we suggest a rigorous equivalence class description of interval ellipses and near fixed points in coupled metric and G‐metric spaces with applications. In both metric and G‐metric frameworks, we prove that the equivalence classes formed by the division of near fixed points naturally reflect their convergence to underlying fixed points ...
G. Sudhaamsh Mohan Reddy, Mohammad Sajid, Ali Allahem, Smritijit Sen   +3 more
wiley   +1 more source

Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces

Fixed Point Theory and Applications, 2011
We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Tuyen Truong, Kim Jong
doaj  

Signal recovery and polynomiographic visualization of modified Noor iteration of operators with property (E)

Demonstratio Mathematica
This article aims to provide a modified Noor iterative scheme to approximate the fixed points of generalized nonexpansive mappings with property (EE) called MN-iteration.
Paimsang Papinwich, Thianwan Tanakit
doaj   +1 more source

Mixed-type SP-iteration for asymptotically nonexpansive mappings in hyperbolic spaces

Demonstratio Mathematica, 2023
In this article, we introduce and study some strong convergence theorems for a mixed-type SP-iteration for three asymptotically nonexpansive self-mappings and three asymptotically nonexpansive nonself-mappings in uniformly convex hyperbolic spaces.
Paimsang Papinwich, Thianwan Tanakit
doaj   +1 more source

A Dynamical Systems Approach to Generalized Cayley Inclusion Problem and Convergence Rate Comparison of Iterative Algorithms

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper studies a generalized Cayley inclusion problem governed by a K·,·‐co‐monotone mapping in a real Hilbert space. We show that the proposed inclusion problem can be equivalently reformulated as a fixed‐point problem. Exploiting this equivalence, an inertial extrapolation algorithm is developed to compute solutions of the generalized Cayley ...
Mohd Aftab Alam, Syed Shakaib Irfan, Iqbal Ahmad, Smritijit Sen   +3 more
wiley   +1 more source

Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces

Fixed Point Theory and Applications, 2011
We extend Rodé's theorem on common fixed points of semigroups of nonexpansive mappings in Hilbert spaces to the CAT(0) space setting. 2000 Mathematics Subject Classification: 47H09; 47H10.
Anakkamatee Watcharapong, Dhompongsa Sompong   +1 more
doaj  

Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spaces

Demonstratio Mathematica
The problem of common solutions for nonlinear equations has significant theoretical and practical value. In this article, we first introduce a new concept of a pair of (α,Θ)\left(\alpha ,\Theta )-type contractions, and then, we present some common fixed ...
Wang Chao
doaj   +1 more source

Generalized Enriched Contractions of Boyd–Wong and Geraghty Type in Banach Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper examines generalized enriched contractions of the Boyd–Wong and Geraghty types within Banach spaces, expanding the classical concept of enriched operators. We establish the existence and uniqueness of fixed points for these contractions and analyze the convergence of Mann‐type iterative schemes specifically designed for these mappings.
Rekha Panicker, Rahul Shukla, Xian-Ming Gu   +2 more
wiley   +1 more source

Investigating the modified UO-iteration process in Banach spaces by a digraph

Open Mathematics
Graph theory (GT) is a highly captivating area of study within applied mathematics. Over the last 50 years, the number of mathematicians contributing to research in this field has consistently risen.
Yolacan Esra
doaj   +1 more source

Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces

Demonstratio Mathematica, 2019
We prove strong convergence of the sequence generated by implicit viscosity approximation method involving a multivalued nonexpansive mapping in framework of CAT(0) space.
Abbas Mujahid, Iqbal Hira, de la Sen Manuel   +2 more
doaj   +1 more source