Fixed point theorems for set valued Caristi type mappings in locally convex space
Abstract
The aim of this paper is to establish a generalization of Isac’s fixed point theorem. We investigate the existence of common fixed and critical points for two set valued maps in locally convex space. We give an example to illustrate our result. As an application, we obtain a common fixed point theorem in probabilistic normed spaces.
Copyright © 2017 Mohamed Edraoui, Mohamed Aamri, Samih Lazaiz. 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
M. Edraoui, M. Aamri, S. Lazaiz, Fixed point theorems for set valued Caristi type mappings in locally convex space, Adv. Fixed Point Theory 7 (2017), 500–511.
BibTeX
@article{Edraoui2017,
author = {Edraoui, Mohamed and Aamri, Mohamed and Lazaiz, Samih},
title = {Fixed point theorems for set valued Caristi type mappings in locally convex space},
journal = {Adv. Fixed Point Theory},
volume = {7},
year = {2017},
pages = {500--511},
doi = {}
}