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Citation - WoS: 201
Citation - Scopus: 263
On α-ψ< Contractive Mappings
(Springer international Publishing Ag, 2013) Karapinar, Erdal; Kumam, Poom; Salimi, Peyman
In this paper, we introduce the notion of alpha-psi-Meir-Keeler contractive mappings via a triangular alpha-admissible mapping. We discuss the existence and uniqueness of a fixed point of such a mapping in the setting of complete metric spaces. We state a number of examples to illustrate our results. MSC: 46N40, 47H10, 54H25, 46T99.
Citation - WoS: 3
Citation - Scopus: 3
On Modified Α-Φ Meir-Keeler Contractive Mappings
(Univ Nis, Fac Sci Math, 2014) Salimi, P.; Hussain, N.; Roldan, A.; Karapinar, E.
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.