Common fixed point theorems for generalized contractive mappings with applications

Fixexd point theory and applications

Nawab Hussain¹  Masood Hussain Shah²  Zahid Akhtar³  Alireza Amini-Harandi⁴ 

[1] Department of Mathematics, King Abdul Aziz University, Jeddah, Saudi Arabia;Department of Mathematics, Lahore University of Management Sciences, Lahore, Pakistan;Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan;Department of Mathematics, University of Shahrekord, Shahrekord, Iran

关键词: cone metric type space;    coincidence point;    common fixed point;    generalized contractive mapping;    nonexpansive mapping;   

DOI  :  10.1186/1687-1812-2013-169

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Certain common fixed point results involving four mappings satisfying generalized contractive conditions on a cone metric type space are obtained. Our results substantially improve and extend a number of known results. An example is given in support of the new results developed here. As an application, we establish the existence of a solution for an implicit integral equation. MSC: 47H09, 47H10, 49M05.

【 授权许可】

CC BY