<i>G</i>-β-ψ contractive-type mappings and related fixed point theorems
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Date
2013
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Springer
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GOLD
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Abstract
In this paper, we introduce the notion of generalized G-beta-psi contractive mappings which is inspired by the concept of alpha-psi contractive mappings. We showed the existence and uniqueness of a fixed point for such mappings in the setting of complete G-metric spaces. The main results of this paper extend, generalize and improve some well-known results on the topic in the literature. We state some examples to illustrate our results. We consider also some applications to show the validity of our results.
Description
Al-Ghamdi, Mohammed. I./0000-0002-9794-554X; KARAPINAR, ERDAL/0000-0002-6798-3254;
Keywords
[No Keyword Available], Applied Mathematics, Discrete Mathematics and Combinatorics, Analysis, \(G\)-\({\beta}\)-\({\psi}\) contractive-type mapping, Fixed-point and coincidence theorems (topological aspects), \({\alpha}\)-admissible mapping, $G$-metric space, Complete metric spaces, Special maps on metric spaces, generalized \({\alpha}\)-\({\psi}\) contractive mapping
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
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OpenCitations Citation Count
18
Source
Journal of Inequalities and Applications
Volume
2013
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CrossRef : 7
Scopus : 36
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36
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29
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