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Hybrid pair via α-admissible Geraghty F-contraction with applications

Authors
Hussain, AftabArshad, MuhammadPark, ChoonkilLee, Jung RyeAnastassiou, George A.
Issue Date
Nov-2018
Publisher
Eudoxus Press, LLC
Keywords
α-admissible; coincidence point; Geraghty F-contraction; integral equation, dynamic programming
Citation
Journal of Computational Analysis and Applications, v.25, no.7, pp.1244 - 1257
Indexed
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
25
Number
7
Start Page
1244
End Page
1257
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/149016
ISSN
1521-1398
Abstract
In this paper, we introduce a notion of hybrid pair (f; T), which is α*-admissible with respect to η for generalized multivalued Geraghty F-contraction mappings and obtain coincidence and common fixed point results for such mappings. We provide some examples to support our results and give applications to dynamic programming and integral equations. Our results provide extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature.
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