Fixed Point Theorems in fuzzy Metric Space

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.

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.).

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.

Boletim da Sociedade Paranaense de Matemática, 2018

The main aim of this paper is to prove fixed point theorems via notion of pairwise semi-compatible mappings and occasionally weakly compatible mappings(owc) in fuzzy metric spaces satisfying contractive type condition.

2006

The main aim of this paper is to prove fixed point theorems via notion of pairwise semi-compatible mappings and occasionally weakly compatible mappings(owc) in fuzzy metric spaces satisfying contractive type condition.

International Journal of Mathematical …, 2011

The aim of the present paper is to extend the study of non compatible maps in fuzzy metric space by using the notion of R-weak commutativity of type (Ag) in fuzzy metric space. Simultaneously, we provide an answer in fuzzy metric space, perhaps maiden, to the ...

In this paper we present some common fixed point theorems for occasionally weakly compatible mapping in fuzzy metric spaces.

Kyungpook mathematical journal, 2011

Related fixed point theorems on two or three metric spaces have been proved in different ways.However, so for the related fixed point theorem on fuzzy metric spaces have not been proved. Sharma, Deshpande and Thakur were the first who have established related fixed point theorem for four mappings on two complete fuzzy metric spaces. Their work was maiden in this line. In this paper we obtain a related fixed point theorem for six mappings on three complete fuzzy metric spaces. Of course this is a new result on this line.

Journal of Fuzzy Set Valued Analysis, 2015

In the present paper, we extend some related fixed point theorems due to Gupta [5] for four fuzzy metric spaces. The results of Gupta are the special cases of the results established in this paper.

International Mathematical Forum, 2007

The purpose of this paper is to obtain common fixed point theorems for compatible maps of type (A-I) and type (A2) on fuzzy metric spaces. Our results extend, generalize and fuzzify several fixed point theorems on metric paces, menger probabilistic metric spaces, uniform spaces and fuzzy metric spaces.

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.

International Journal of Mathematical Archive, 2012

T his paper presents some common fixed point theorems for occasionally weakly compatible mappings in fuzzy metric space under various conditions.

Kathmandu University Journal of Science, Engineering and Technology

The aim of the present paper is to establish a common fixed point theorem for subcompatible pair of self mappings in a fuzzy metric space which generalizes and improves various well-known comparable results.

2007

The object of this paper is to introduce the notion of semi-compatible maps in fuzzy metric spaces, fuzzy 2-metric spaces and fuzzy 3-metric spaces and to establish three common fixed point theorems for these spaces for four self-maps. These results improve, extend and generalize the results of [16]. As an application , these results have been used to obtain translation and generalization of Grabeic's contraction principle in the new settings. All the result presented in this paper are new.

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.