In this paper, first we prove fixed point theorems for different variant of compatible maps, satisfying a contractive condition of integral type in fuzzy metric spaces, which improve the results of Branciari [2], Rhoades [33], Kumar et al. [23], Subramanyam [35] and results of various authors cited in the literature of ”Fixed Point Theory and Applications”. Secondly, we introduce the notion of ...

We introduce the novel concept of (?-?)-fuzzy contractive mappings on fuzzy double-controlled metric spaces and demonstrate some fixed-point results. The theorems presented generalize intriguing findings in literature. Thus, we prove theorem settings spaces. Furthermore, provide several examples an application our result existence solution to integral equation.

The aim of the present paper is to introduce the concept of joint common limit range property ((JCLR) property) for single-valued and set-valued maps in non-Archimedean fuzzy metric spaces. We also list some examples to show the difference between (CLR) property and (JCLR) property. Further, we establish common fixed point theorems using implicit relation with integral contractive condition. Se...

The main purpose of this paper is to give common fixed point theorem in intuitionistic fuzzy metric spaces under strict contractive conditions for mappings satisfying (CLRg) property .Our result improves and generalizes the result of Sharma, P and Sharma, S. MSC: 47H10, 54H25

The aim of this paper is to obtain a common fixed point theorem in an intuitionistic fuzzy metric space for pointwise R-weakly commuting mappings using contractive condition of integral type and to establish a situation in which a collection of maps has a fixed point which is a point of discontinuity.

Following the definition of coupled fixed point [T. G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006) 1379–1393], we prove a coupled fixed point theorem for contractive mappings in partially complete intuitionistic fuzzy normed spaces. © 2011 Elsevier Ltd. All rights reserved.

Definition 1.1 (see [1]). A triple (X ,M,∗), where X is an arbitrary set, ∗ is a continuous t-norm, andM is a fuzzy set on X2× (0,∞), is said to be a fuzzy metric space (in the sense of George and Veeramani) if the following conditions are satisfied for all x, y ∈ X and s, t > 0: (GV-1) M(x, y, t) > 0; (GV-2) M(x, y, t)= 1 if and only if x = y; (GV-3) M(x, y, t)=M(y,x, t); (GV-4) M(x, y,·) is c...