Fixed-Point Theorems in Complete Gauge Spaces and Applications to Second-Order Nonlinear Initial-Value Problems-Reference-Cited by-同舟云学术

Fixed-Point Theorems in Complete Gauge Spaces and Applications to Second-Order Nonlinear Initial-Value Problems

Published:2013 Issue: Volume:2013 Page:1-8
ISSN:0972-6802
Container-title:Journal of Function Spaces and Applications
language:en
Short-container-title:Journal of Function Spaces and Applications

Author:

Cherichi Meryam¹,Samet Bessem²^ORCID,Vetro Calogero³^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Sciences of Tunis, University Campus, 2092 Tunis, Tunisia

2. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

3. Università degli Studi di Palermo, Dipartimento di Matematica e Informatica, Via Archirafi 34, 90123 Palermo, Italy

Abstract

We establish fixed-point results for mappings and cyclic mappings satisfying a generalized contractive condition in a complete gauge space. Our theorems generalize and extend some fixed-point results in the literature. We apply our obtained results to the study of existence and uniqueness of solution to a second-order nonlinear initial-value problem.

Funder

King Saud University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2013/293101.pdf

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