Original scientific paper

https://doi.org/10.3336/gm.52.1.12

Common fixed point theorems for a family of multivalued F-contractions with an application to solve a system of integral equations

Tayyab Kamran ; Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan & Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan
Fahimuddin ; Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
Muhammad Usman Ali ; Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan

Abstract

Inspired by the work of Wardowski in [33] and Samet et al. in [26], in this article, we introduce some new contractive conditions for sequence of multi functions. We have constructed non-trivial examples to validate our results. We have applied our results to find a solution of a system of integral equations.

Keywords

α-admissible sequences; α*-admissible sequences; F-contractions

Hrčak ID:

183130

URI

https://hrcak.srce.hr/183130

Publication date:

21.6.2017.

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