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3D analysis of modified F-contractions in convex b-metric spaces with application to Fredholm integral equations
Journal article   Open access  Peer reviewed

3D analysis of modified F-contractions in convex b-metric spaces with application to Fredholm integral equations

Awais Asif, Sami Ullah Khan, Thabet Abdeljawad, Muhammad Arshad, Ekrem Savas and 5 Department of Computer Science and Information Engineering, Asia University, Taichung 40402, Taiwan
AIMS mathematics, Vol.5(6), pp.6929-6948
01/01/2020
DOI: https://doi.org/10.3934/math.2020444

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The article defines F-Reich contraction while eliminating the condition (F3) and (F4) of F-contraction of Nadler type defined by Cosentino and using generalized Mann's iteration algorithm, some interesting theorems are developed in the setting of convex b-metric spaces. Example are stated in support of our proved results and application of our results in finding solution point to Fredholm Integral equation of the second kind are given.
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https://doi.org/10.3934/math.2020444View
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