Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations-Reference-Cited by-同舟云学术

Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations

Published:2012 Issue: Volume:2012 Page:1-15
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Agarwal Ravi P.¹²,Hussain Nawab²,Taoudi Mohamed-Aziz³⁴

Affiliation:

1. Department of Mathematics, Texas A&M University, Kingsville 700 University Boulevard, Kingsville, TX 78363-8202, USA

2. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

3. Laboratoire de Mathématiques et de Dynamique de Populations, Faculté des Sciences Semlalia, Université Cadi Ayyad, Marrakech 40 000, Morocco

4. Centre Universitaire Kelaa des Sraghna, B.P. 263, Kelaa des Sraghna 43 000, Morocco

Abstract

We present some new common fixed point theorems for a pair of nonlinear mappings defined on an ordered Banach space. Our results extend several earlier works. An application is given to show the usefulness and the applicability of the obtained results.

Funder

Deanship of Scientific Research at King Abdulaziz University

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/245872.pdf

Reference24 articles.

1. KKM mappings in cone b-metric spaces

2. On cone metric spaces: A survey

3. On measures of weak noncompactness

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