Glasnik Matematicki, Vol. 52, No. 1 (2017), 163-177.

COMMON FIXED POINT THEOREMS FOR A FAMILY OF MULTIVALUED F-CONTRACTIONS WITH AN APPLICATION TO SOLVE A SYSTEM OF INTEGRAL EQUATIONS

Tayyab Kamran, Fahimuddin and Muhammad Usman Ali

Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
& Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan
e-mail: tayyabkamran@gmail.com

Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
e-mail: fahamiiu@gmail.com

Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan
e-mail: muh_usman_ali@yahoo.com

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.

2010 Mathematics Subject Classification.   47H10, 54H25.

Key words and phrases.   α-admissible sequences, α*-admissible sequences, F-contractions.

Full text (PDF) (free access)

DOI: 10.3336/gm.52.1.12

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