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Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type

Yeol Je Cho1, Billy E Rhoades2, Reza Saadati3*, Bessem Samet4 and Wasfi Shatanawi5

Author Affiliations

1 Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Korea

2 Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA

3 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

4 Université de Tunis, Ecole Supérieur des Sciences et Techniques de Tunis, 5, Avenue Taha Hussein-Tunis, B.P.:56, Bab Menara-1008, Tunisie

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

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Fixed Point Theory and Applications 2012, 2012:8  doi:10.1186/1687-1812-2012-8

Published: 26 January 2012

Abstract

In this article, we study coupled coincidence and coupled common fixed point theorems in ordered generalized metric spaces for nonlinear contraction condition related to a pair of altering distance functions. Our results generalize and modify several comparable results in the literature.

2000 MSC: 54H25; 47H10; 54E50.

Keywords:
ordered set; coupled coincidence point; coupled common fixed point; generalized metric space; altering distance function; weakly contractive condition; contraction of integral type