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Caristi’s Fixed Point Theorem and Ekeland’s Variational Principle for Set Valued Mapping using the LZ-functions

by Samih Lazaiz, Mohamed Aamri, Omar Zakary
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 158 - Number 2
Year of Publication: 2017
Authors: Samih Lazaiz, Mohamed Aamri, Omar Zakary
10.5120/ijca2017912755

Samih Lazaiz, Mohamed Aamri, Omar Zakary . Caristi’s Fixed Point Theorem and Ekeland’s Variational Principle for Set Valued Mapping using the LZ-functions. International Journal of Computer Applications. 158, 2 ( Jan 2017), 1-6. DOI=10.5120/ijca2017912755

@article{ 10.5120/ijca2017912755,
author = { Samih Lazaiz, Mohamed Aamri, Omar Zakary },
title = { Caristi’s Fixed Point Theorem and Ekeland’s Variational Principle for Set Valued Mapping using the LZ-functions },
journal = { International Journal of Computer Applications },
issue_date = { Jan 2017 },
volume = { 158 },
number = { 2 },
month = { Jan },
year = { 2017 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume158/number2/26877-2017912755/ },
doi = { 10.5120/ijca2017912755 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:03:43.449670+05:30
%A Samih Lazaiz
%A Mohamed Aamri
%A Omar Zakary
%T Caristi’s Fixed Point Theorem and Ekeland’s Variational Principle for Set Valued Mapping using the LZ-functions
%J International Journal of Computer Applications
%@ 0975-8887
%V 158
%N 2
%P 1-6
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The aims of this paper is to give some new theorems in the field of fixed point theory. For that, we establish a generalized result of Caristi’s fixed point theorem by introducing a new type of functions that will be called the LZ-functions. And since that theorem is equivalent to Ekeland’s variational principle, we derive also an "- variational-type principle, which generalizes the latter. As application, we study the existence of solution for a system of equilibrium problem.

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Index Terms

Computer Science
Information Sciences

Keywords

Fixed point Set valued map LZ-function Caristi Ekeland

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