Contractive Mapping in Generalized, Ordered Metric Spaces with Application in Integral Equations-Reference-Cited by-同舟云学术

Contractive Mapping in Generalized, Ordered Metric Spaces with Application in Integral Equations

Published:2011 Issue: Volume:2011 Page:1-14
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Gholizadeh L.¹,Saadati R.¹,Shatanawi W.²,Vaezpour S. M.³

Affiliation:

1. Department of Mathematics, Science and Research Branch, Islamic Azad University (IAU), Tehran, Iran

2. Department of Mathematics, Hashemite University, P.O. Box 150459, Zarqa 13115, Jordan

3. Department of Mathematics, Amirkabir University of Technology, Tehran, Iran

Abstract

We consider the concept of -distance on a complete, partially ordered -metric space and prove some fixed point theorems. Then, we present some applications in integral equations of our obtained results.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2011/380784.pdf

Reference25 articles.

1. Limit behaviour of optimal control problems governed by parabolic boundary value problems with equivalued surface

2. Common fixed point theorems on generalized distance in ordered cone metric spaces

3. Coincidence and fixed points for maps on topological spaces

4. On the steepest descent approximation method for the zeros of generalized accretive operators

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