Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces

V Berinde - Carpathian Journal of Mathematics, 2019 - JSTOR
Using the technique of enrichment of contractive type mappings by Krasnoselskij averaging,
presented here for the first time, we introduce and study the class of enriched nonexpansive …

Strong convergence for -nonexpansive mapping using a partial order induced by a function

R Jain - International Journal of Nonlinear Analysis and …, 2022 - ijnaa.semnan.ac.ir
In this work, we introduce a partial ordering on a Banach space induced by a real valued
function and prove some convergence theorems for $\alpha $-nonexpansive mapping in a …

Weak and Strong Convergence Theorems of G-Monotone Nonexpansive Mapping in Banach Spaces with a Graph

DJ Wen - Numerical Functional Analysis and Optimization, 2019 - Taylor & Francis
In this article, we introduce a faster iteration for finding a fixed point of G-monotone
nonexpansive mapping in a uniformly convex Banach space with a directed graph. We …

[PDF][PDF] On Fixed Point of Monotone (α, β)-Nonexpansive Mappings in Ordered Hyperbolic Metric Spaces

K Dewangan - 2024 - researchgate.net
This paper is concerned with convergence and∆-convergence of a sequence generated by
Picard-Mann hybrid iteration scheme for monotone (α, β)-nonexpansive type mappings in …

[PDF][PDF] Journal of Nonlinear Analysis and Optimization

K Muangchoo-in - Journal of Nonlinear Analysis and …, 2020 - ph03.tci-thaijo.org
In this work, we prove some theorems of existence of fixed points for a monotone (α, β)-
nonexpansive mapping in a uniformly convex ordered Banach space. Also, we prove some …