Title | ||
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Fixed Point of (alpha, beta)-Admissible Generalized Geraghty F-Contraction with Application |
Abstract | ||
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In this paper, we introduce some new types of extended Geraghty contractions, called (alpha, beta)-admissible generalized Geraghty F-contractions, and prove some fixed point results for such contractions in the setting of partial b-metric spaces. Moreover, based on the obtained fixed point results and the property of symmetry, we inaugurate a fixed point result for graphic generalized Geraghty F-contractions defined on partial metric spaces endowed with a directed graph. As an application, we examine the existence of a unique solution to the first-order periodic boundary value by the obtained fixed point result. Moreover, some examples are presented to illustrate the validity of the new results. |
Year | DOI | Venue |
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2022 | 10.3390/sym14051016 | SYMMETRY-BASEL |
Keywords | DocType | Volume |
fixed point, partial metric spaces, b-metric spaces, F-contraction, (alpha, beta)-admissible | Journal | 14 |
Issue | ISSN | Citations |
5 | 2073-8994 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Min Wang | 1 | 76 | 27.77 |
Naeem Saleem | 2 | 0 | 1.35 |
Xiaolan Liu | 3 | 0 | 1.35 |
Arslan Hojat Ansari | 4 | 0 | 0.34 |
Mi Zhou | 5 | 0 | 0.34 |