Common Fixed Point Theorems in Complete Fuzzy Metric Spaces

Abstract

Abstract. In this paper, common fixed point theorems for fuzzy maps in fuzzy metric spaces are proved. These theorems are fuzzy version of some known results in ordinary metric spaces.

A Study on Parametric S-metric Spaces

“…Many authors investigated fixed-point theorems for some contraction mappings on a complete parametric and triangular intuitionistic fuzzy metric space ( [5,7,10,12]). On the other hand, Taş and Özgür [13] generalized the notion of a parametric metric [7] and S-metric [11] by developing parametric S-metric. After defining convergence of a sequence and completeness in parametric S-metric spaces, authors proved fixed point theorems for expansive mappings on parametric S-metric spaces [13].…”

A fixed point theorem in S_b-metric spaces

“…Several authors have investigated the S-metric space and generalized many results related to the existence of fixed point, see [8,9,11,12,14] and [20]. However, no work has extended the fixed point problem from the b-metric spaces to the S-metric spaces.…”

A Fixed Point in Partial Sb-Metric Spaces

“…Several papers have been published on the fixed point theory in S-metric spaces [7], [8], [9], [13], and [14]. Also, fixed point results in b-metric spaces were also studied by many authors [1], [2], [3], [4], [5] and [15].…”