In this paper we investigate common xed point theorems for contraction mapping in fuzzy metric space introduced by Gregori and Sapena [V. Gregori, A. Sapena, On xed-point the- orems in fuzzy metric spaces, Fuzzy Sets and Systems, 125 (2002), 245-252].

In this paper some results on fixed point theorems for contractive type fuzzy mappings are obtained in fuzzy quasi-pseudo-metric space which extend and generalize the result of Telci and Sahin [8].

In this paper, we introduce generalized contraction mapping in fuzzy metric space. Some fixed point theorems for fuzzy metric space in the sense of George and Veeramani [2]. Mathematics Subject Classification: 47H10, 54A40.

In this paper, we first introduce a new family of functions like an implicit function called ?-functions. Furthermore, concept ?-?F-fuzzy contractive mappings, which is weaker than the class fuzzy F-contractive mappings. Then, existence and uniqueness fixed point are established for type mappings in setting metric spaces. Moreover, some examples application to nonlinear fractional differential ...

‎a new approximation method for the set of common fixed points of‎ ‎nonexpansive mappings and the set of solutions of systems of‎ ‎variational inequalities is introduced and studied‎. ‎moreover‎, ‎we‎ ‎apply our main result to obtain strong convergence theorem to a‎ ‎common fixed point of a nonexpannsive mapping and solutions of ‎a ‎system of variational inequalities of an inverse strongly mono...

We prove some common coupled fixed point theorems for contractive mappings in fuzzy metric spaces under geometrically convergent t-norms.

The Banach contraction principle is one of the pivotal results in the metric fixed-point theory. It is a popular tool for the solution of existence problems in various fields of mathematics. There are several generalizations of the Banach contraction principle in the related literature on the metric fixed-point theory. Ran and Reurings [15] extended the Banach contraction principle in partially...

The influence of fixed point theorems for contractive and nonexpansive mappings see 1, 2 on fixed point theory is so huge that there are many results dealing with fixed points of mappings satisfying various types of contractive and nonexpansive conditions. On the other hand, it is also huge that well-known Brouwer’s and Schauder’s fixed point theorems for set-contractive mappings exert an influ...

The existence of fixed point in partially ordered sets has been studied and investigated recently in 1–13 and references therein. Since the various contractive conditions are important in metric fixed point theory, there is a trend to weaken the requirement on contractions. Nieto and Rodrı́guez-López in 8, 10 used Tarski’s theorem to show the existence of solutions for fuzzy equations and fuzzy ...