Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem
Articles
Muhammad Usman Usman Ali
Women University of Azad Jammu and Kashmir, Pakistan
Tayyab Kamran
Quaid-i-Azam University, Pakistan
Mihai Postolache
China Medical University, Taiwan; University Politehnica of Bucharest, Romania
Published 2017-01-20
https://doi.org/10.15388/NA.2017.1.2
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Keywords

αs-admissible mappings
αs*-admissible mappings
Hardy–Rogers-type F-contractions

How to Cite

Ali, M.U.U., Kamran, T. and Postolache, M. (2017) “Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem”, Nonlinear Analysis: Modelling and Control, 22(1), pp. 17–30. doi:10.15388/NA.2017.1.2.

Abstract

An existence theorem for Volterra-type integral inclusion is establish in b-metric spaces. We first introduce two new F-contractions of Hardy–Rogers type and then establish fixed point theorems for these contractions in the setting of b-metric spaces. Finally, we apply our fixed point theorem to prove the existence theorem for Volterra-type integral inclusion. We also provide an example to show that our fixed point theorem is a proper generalization of a recent fixed point theorem by Cosentino et al.

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