Common fixed point theorems for compatible mappings

The journal of analysis, 2018

In this paper, we use the notion of compatible mappings of type R, K and E in the setting of a Fuzzy metric space and then prove the common fixed point theorems for compatible mappings of type R, K and E using implicit relations in fuzzy metric spaces.

Chaos, Solitons & Fractals, 2009

In this paper, we give some new definitions of compatible mappings of types (I) and (II) in fuzzy metric spaces and prove some common fixed point theorems for four mappings under the condition of compatible mappings of types (I) and (II) in complete fuzzy metric spaces. Our results extend, generalize and improve the corresponding results given by many authors.

isara solutions, 2024

In this paper, we use the concept of compatible mappings of type (*) to provide proofs for a class of fixed point theorems in M-fuzzy metric spaces that involve a rational term. Numerous intriguing results have been obtained by different writers in their investigation of common fixed points of mapping that satisfy some contractive type requirement. Assuming weak commutativity of mappings is a common theme in these studies; most of them are concerned with commuting mappings. Our result generalizes several key fixed point theorems, paving the way for more research into ubiquitous fixed points in contractive settings. The fixed point in fuzzy metric spaces can then be located by exploring the no fixed point theorems.

Applied mathematical sciences, 2014

In this paper, we introduce the notion of compatible mappings of type (E) in fuzzy metric space and obtain a common fixed point theorem for self mappings in complete fuzzy metric space with example. Our result generalizes and improves other similar results in literature.

Network and Complex Systems, 2014

The present paper deals with Some Common Fixed Point theorems for six occasionally weakly compatible (owc) mappings in Fuzzy Metric Space.

Common fixed point theorems for the class of four non compatible mappings in fuzzy metric spaces are proved. These results are proved without exploiting the notion of continuity and without imposing any condition on t-norm. * Mathematics Subject Classifications: 54H25,47H10,54E40,54E35.

Electronic Journal of Mathematical Analysis and Applications

In this paper, we introduce the notion of compatible of type (K) in fuzzy metric space and obtain a common fixed point theorem for self mappings on complete fuzzy metric space with example. Our result generalizes and improves other similar results in literature.

Fuzzy Sets and Systems, 2000

In this paper, we introduce the concept of biased maps of type (R M) in fuzzy metric space and establish common fixed point theorems on fuzzy metric space in the sense of Kramosil and Michálek. Our result extends, generalizes or improves some the results of Kumar [16], Vasuki [23], etc.

2020

In this paper we prove a common fixed point theorem in fuzzy 2-metric space on six self-mappings using the concept of compatible of type (K) and Property (E.A.).

Computer Engineering and Intelligent Systems, 2014

In this paper we prove common fixed point theorems using faintly compatible mappings in fuzzy metric space. Our results extend and generalized the results of A. Jain et.al. [5].