Multi-valued fixed point theorem  via  F- contraction of Nadler type  and  application to functional and integral equations

Muhammad Shoaib; Muhammad Sarwar; Poom Kumam

doi:10.5269/bspm.41105

Muhammad Shoaib University of Malakand
Muhammad Sarwar University of Malakand
Poom Kumam King Mongkuts University of Technology Thonburi https://orcid.org/0000-0002-5463-4581

Abstract

In this work, using F-contraction of Nadler type, common multi-valued fixed point results in the setting of b-metric space are established. With the assistance of the determined results sufficient conditions for the existence of common solutions to the systems of functional and integral equations are studied.

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Author Biographies

Muhammad Shoaib, University of Malakand

Department of Mathematics

Poom Kumam, King Mongkuts University of Technology Thonburi

KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed PointLaboratory, Science Laboratory Building, Faculty of Science, King Mongkuts University of TechnologyThonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand,

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