Fuzzy Fixed Point Results For Φ Contractive Mapping with Applications

Abstract

In this paper, using rational type contractions, common fuzzy fixed point result for Φ contractive mappings involving control functions as coefficients of contractions in the setting of complex-valued metric space is established. The derived results generalizes some result in the existing literature. To show the validity of the derived results an appropriate example and applications are also discussed.

Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions

“…Recently, Kumam et al [25] and Shoaib et al [26] derived and proved some fuzzy fixed point results for fuzzy mappings in complete b-metric spaces. Humaira et al [27] established and proved fuzzy fixed point results for Φ−contractive mapping and gave some applications. Ertrk and Karakaya [28] stated and proved -tuplet coincidence point theorems in intuitionistic fuzzy normed spaces.…”

Some Fixed Point Theorems in and966-and968 weak contraction on Fuzzy Metric Space

“…Here after George and Veeramani [5] modified the definition of fuzzy metric spaces from [12]. Many researchers using [5,6,13,14] and developing fuzzy metric spaces see, [1,9,10]. In 1984, M.S.Khan, M.Swaleh and S.Sessa [8] discussed Banach fixed point theorem in metric spaces via altering distance function.…”