Theorems for Boyd-Wong-Type Contractions in Ordered Metric Spaces-Reference-Cited by-同舟云学术

Theorems for Boyd-Wong-Type Contractions in Ordered Metric Spaces

Published:2012 Issue: Volume:2012 Page:1-14
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Aydi Hassen¹,Shatanawi Wasfi²,Postolache Mihai³,Mustafa Zead⁴,Tahat Nedal²

Affiliation:

1. Institut Supérieur D'Informatique et des Technologies de Communication de Hammam Sousse, Université de Sousse, Route GP1-4011, Hammam Sousse, Tunisia

2. Department of Mathematics, The Hashemite University, P.O. Box 13115, Zarqa 13115, Jordan

3. Faculty of Applied Sciences, University Politehnica of Bucharest, 313 Splaiul Independenţei, 060042 Bucharest, Romania

4. Department of Mathematics, The Hashemite University, P.O. Box 330127, Zarqa 13115, Jordan

Abstract

We give some fixed point results using an ICS mapping and involving Boyd-Wong-type contractions in partially ordered metric spaces. Our results generalize, extend, and unify several well-known comparable theorems in the literature. Also, we present some examples to support our results.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/359054.pdf

Reference32 articles.

1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

2. A fixed point theorem in partially ordered sets and some applications to matrix equations

3. Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential Equations

4. Generalized contractions in partially ordered metric spaces

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