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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.
Citation - WoS: 15
Citation - Scopus: 13
Matkowski Theorems in the Context of Quasi-Metric Spaces and Consequences on g-metric Spaces
(Sciendo, 2016) Karapinar, Erdal; Roldan-Lopez-de-Hierro, Antonio-Francisco; Samet, Bessem
In this paper, we prove the characterization of a Matkowski's theorem in the setting of quasi-metric spaces. As a result, we observe that some recent fixed point results in the context of G-metric spaces are consequences of our main result.