Fixed point results for G m -Meir-Keeler contractive and G - ( α , ψ ) -Meir-Keeler contractive mappings

摘要

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 - ( α , ψ ) -Meir-Keeler contractive mapping and prove some fixed point theorems for this class of mappings in the setting of G-metric spaces. MSC:46N40, 47H10, 54H25, 46T99.