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

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作者
Wutiphol Sintunavarat
Poom Kumam
机构
[1] Faculty of Science,Department of Mathematics
[2] King Mongkut's University of Technology Thonburi (KMUTT),undefined
关键词
Common fixed point; Weakly compatible mappings; Property (E.A); Common property (E.A); Weak tangle point; Pair-wise tangential property;
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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.
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