In this paper, first we introduce the notion of a $G^m$-Meir-Keeler contractive mapping and establish some fixed point theorems for the $G^m$-Meir-Keeler contractive mapping in the setting of $G$-metric spaces. Further, we introduce the notion of a $G_c^m$-Meir-Keeler contractive mapping in the setting of $G$-cone metric spaces and obtain a fixed point result. Later, we introduce the notion of a $G$-$(\alpha,\psi)$-Meir-Keeler contractive mapping and prove some fixed point theorems for this class of mappings in the setting of $G$-metric spaces.
Hussain, N., Karapinar, E., Salimi, P., & Vetro, P. (2013). Fixed point results for $G^m$-Meir-Keeler contractive and $G$-$(\alpha,\psi)$-Meir-Keeler contractive mappings. FIXED POINT THEORY AND APPLICATIONS, 2013, 1-14 [10.1186/1687-1812-2013-34].
Data di pubblicazione: | 2013 | |
Titolo: | Fixed point results for $G^m$-Meir-Keeler contractive and $G$-$(\alpha,\psi)$-Meir-Keeler contractive mappings | |
Autori: | ||
Citazione: | Hussain, N., Karapinar, E., Salimi, P., & Vetro, P. (2013). Fixed point results for $G^m$-Meir-Keeler contractive and $G$-$(\alpha,\psi)$-Meir-Keeler contractive mappings. FIXED POINT THEORY AND APPLICATIONS, 2013, 1-14 [10.1186/1687-1812-2013-34]. | |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1186/1687-1812-2013-34 | |
URL: | http://www.fixedpointtheoryandapplications.com/content/2013/1/34 | |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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