Fixed point theorems for sum of two mappings on not necessarily convex subset of a locally convex space
Abstract
In this paper, we prove some fixed point theorems for sum of two mappings in locally convex space. The results generalized the fixed point theorem of Cain and Nashed [2] for sum of two mappings on a convex subset of a locally convex space to sum of two mappings defined on almost convex subset as well as star-shaped subset of a locally convex space.
Copyright © 2017 Chukwuedo Ugochi Daniel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
C. U. Daniel, Fixed point theorems for sum of two mappings on not necessarily convex subset of a locally convex space, Adv. Fixed Point Theory 7 (2017), 207–213.
BibTeX
@article{Daniel2017,
author = {Daniel, Chukwuedo Ugochi},
title = {Fixed point theorems for sum of two mappings on not necessarily convex subset of a locally convex space},
journal = {Adv. Fixed Point Theory},
volume = {7},
year = {2017},
pages = {207--213},
doi = {}
}