Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type

Journal of inequalities and applications

Wutiphol Sintunavarat¹ 

关键词: Common fixed point;    Weakly compatible mappings;    Property (E.A);    Common property (E.A);    Weak tangle point;    Pair-wise tangential property;   

DOI  :  10.1186/1029-242X-2011-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we define a tangential property which can be used not only for single-valued mappings but also for multi-valued mappings, and used it in the prove for the existence of a common fixed point theorems of Gregus type for four mappings satisfying a strict general contractive condition of integral type in metric spaces. Our theorems generalize and unify main results of Pathak and Shahzad (Bull. Belg. Math. Soc. Simon Stevin 16, 277-288, 2009) and several known fixed point results.

【 授权许可】

CC BY