Existence and convergence theorems for monotone generalized alpa-nonexpansive mappings in uniformly convex partially ordered hyperbolic metric spaces and its application
Functional Analysis
2020-06-29 v1 Numerical Analysis
Numerical Analysis
Abstract
In this paper, we generalize the existence result in [14] and prove convergence theorems of the iterative scheme in [12, 16] for monotone generalized alpa-nonexpansive mappings in uniformly convex partially ordered hyperbolic metric spaces. And we also give a numerical example to show that this scheme converges faster than the scheme in [14] and apply the result to the integral equation.
Keywords
Cite
@article{arxiv.2006.14759,
title = {Existence and convergence theorems for monotone generalized alpa-nonexpansive mappings in uniformly convex partially ordered hyperbolic metric spaces and its application},
author = {Chang Il Rim and Jong Gyong Kim and Chol-Hui Yun},
journal= {arXiv preprint arXiv:2006.14759},
year = {2020}
}