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

By Wutiphol Sintunavarat, Poom Kumam. 2011

72 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/239d34ee9ac3c158625b0f8825e141260a57c306

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In Computational Theory and Mathematics

In Geometry and Topology

Citations in the corpus

Coupled Best Proximity Point Theorem in Metric Spaces (2013, background): “There are many researchers generalized this contraction principle in different directions, refer to [2],[9],[10],[24],[33],[34],[40].”
Generalized common fixed point theorems in complex valued metric spaces and applications (2012, background): “Later, a number of articles in this field have been dedicated to the improvement and generalization of the Banach’s contraction mapping principle in several ways in many spaces (see [2-17]).”
Coupled best proximity point theorem in metric Spaces (2012, background): “This principle has been generalized in many ways over the years [2-15].”
Fixed point theorems for contraction mappings in modular metric spaces (2011, background): “Banach contraction principle has been extended in many different directions, see [2-10].”