6533b857fe1ef96bd12b4a70

RESEARCH PRODUCT

Fixed point results for $G^m$-Meir-Keeler contractive and $G$-$(\alpha,\psi)$-Meir-Keeler contractive mappings

N HussainE KarapinarP SalimiPasquale Vetro

subject

Settore MAT/05 - Analisi Matematica$G^m$-Meir-Keeler contractive mapping $G$-metric space $G_c^m$-Meir-Keeler contractive mapping $G$-Cone metric space $G$-$(\alpha\psi)$-Meir-Keeler contractive mapping

description

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.

yearjournalcountryeditionlanguage
2013-01-01
10.1186/1687-1812-2013-34http://hdl.handle.net/10447/71013