On Modified Α-Φ Meir-Keeler Contractive Mappings
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Abstract
Samet et al. [Nonlinear Anal. 75: 2154-2165, 2012] introduced and studied alpha-psi-contractive mappings. More recently Salimi, et al. [Fixed Point Theory Appl., 2013: 151] modified the notion of alpha-psi-contractive mappings and improved the fixed point theorems in [20, 32]. Here we utilize these notions to establish fixed point results for modified alpha-phi-asymmetric Meir-Keeler contractions and triangular alpha-admissible mappings defined on G-metric and cone G-metric spaces. Several interesting consequences of our theorems are also provided here to illustrate the usability of the obtained results.
Description
Hussain, Nawab/0000-0001-6585-2202; Roldán López de Hierro, Antonio Francisco/0000-0002-6956-4328; KARAPINAR, ERDAL/0000-0002-6798-3254
Keywords
alpha-psi-contractions, alpha-phi-asymmetric Meir-Keeler contractions, triangular alpha-admissible mappings, G-metric space, α-ψ Contractions, α-φ Asymmetric Meir-Keeler Contractions, Triangular α-Admissible Mappings, \(G\)-metric space, Fixed-point and coincidence theorems (topological aspects), triangular \(\alpha\)-admissible mappings, Complete metric spaces, \(\alpha\)-\(\phi\)-asymmetric Meir-Keeler contractions, Special maps on metric spaces, \(\alpha\)-\(\psi\)-contractions
Fields of Science
0101 mathematics, 01 natural sciences
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2
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28
Issue
9
Start Page
1855
End Page
1869
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