Results 51 to 60 of about 276 (165)

Some new fixed point theorems for nonexpansive-type mappings in geodesic spaces

Open Mathematics, 2022
In this article, we present some new fixed point existence results for nonexpansive-type mappings in geodesic spaces. We also give a number of illustrative examples to settle our claims.
Shukla Rahul, Panicker Rekha
doaj   +1 more source

A New Resolvent‐Based Method for Solving Generalized Variational Inclusions and Its Application to Image Deblurring

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This research develops a computational framework utilizing viscosity extragradient iterations to simultaneously solve split monotone variational inclusion, variational inequality, and fixed‐point problems. The methodology handles finite collections of ϵ‐strict pseudocontractive operators and nonexpansive mappings within Hilbert space settings ...
Ghada AlNemer, Mohammad Farid, Rehan Ali, Smritijit Sen   +3 more
wiley   +1 more source

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

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

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

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

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

Convergence of a New Two-Step Iteration with Errors in the Class of Zamfirscu Operator [PDF]

, 2020
: In this paper, we establish a convergence theorem to approximate common fixed points of Zamfirscu operator on a normed space with new two-step iteration process with errors.
Mohammed Al Sayer
core