Fixed point results of generalized Suzuki-Geraghty contractions on f-orbitally complete B-spaces
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Date
Authors
Leyew, Bahru Tsegaye
Mujahid, Abbas
Journal Title
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Volume Title
Publisher
University Politehnica of Bucharest
Abstract
In this paper, we introduce the concept of a generalized-Suzuki-Geraghty type
contraction mapping and obtain fixed point results in the framework of an f-orbitally
complete b-metric space. The results proved herein improve, generalize, and unify various
comparable results in the existing literature. Some examples are presented to validate
the effectiveness and applicability of our main result. It is also shown that the presented
results are proper extensions of corresponding results in the existing literature. As an
application of our obtained result, we establish the existence of a solution of integral
equations in the setup of b-metric spaces.
Description
Keywords
Triangular -orbital, Admissible, Fixed point, F-orbitally complete, B-metric, Generalized-Suzuki-Geraghty type
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Citation
Leyew, B.T. & Mujahid, A. 2017, 'Fixed point results of generalized Suzuki-Geraghty contractions on f-orbitally complete B-spaces', Scientific Bulletin, Series A: Applied Mathematics and Physics, vol. 79, no. 2, pp. 113-124.