Abstract
In this paper, we introduce the concept of a mixed g-monotone mapping and prove coupled coincidence and common coupled fixed point theorems for mappings under ϕ-contractive conditions in partially ordered generalized fuzzy metric spaces. We also give an example to illustrate the theorems. MSC:47H10, 54H25.
Highlights
1 Introduction The theory of fuzzy sets has evolved in many directions after investigation of the notion of fuzzy sets by Zadeh [ ]
We introduce the concept of a mixed g-monotone mapping, which is a generalization of the mixed monotone mapping, and prove coupled coincidence point and coupled common fixed point theorems for mappings under φ-contractive conditions in partially ordered G-fuzzy metric spaces
Let (X, ≤) be a partially ordered set and (X, F, ∗) be a complete fuzzy metric space
Summary
The theory of fuzzy sets has evolved in many directions after investigation of the notion of fuzzy sets by Zadeh [ ]. Rao et al [ ] proved two unique common coupled fixed-point theorems for three mappings in symmetric G-fuzzy metric spaces.
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