On Fixed Point Theorem in Fuzzy Metric Spaces

Abstract: - The Purpose of this paper, we prove common fixed point theorem using new continuity condition in fuzzy metric spaces. Keywords: - Compatible maps, R-weakly commuting maps, reciprocal continuity. Mathematics subject classification: - 47H10, 54H25

Results on Expansion Maps in Fuzzy Menger Space via Property-(E.A) and (E.A)-like Property

The main goal of this paper is to establish two results in fuzzy menger space by using property-(E.A), (E.A) like property and occasionally weakly compatible mappings. Furthermore these results are justified with proper examples.These are generalization of the theorem proved by Diwan and others.

Common fixed theorems for weakly compatible mappings via an implicit relation using the common (E.A) property in intuitionistic fuzzy metric spaces

In this chapter, we prove two common fixed theorems for weakly compatible mappings via an implicit relation using the common (E.A) property in intuitionistic fuzzy metric space

Common Fixed Point Theory in Modified Intuitionistic Probabilistic Metric Spaces with Common Property (E.A.)

In this paper, we define the concepts of modified intuitionistic probabilistic metric spaces, the property (E.A.) and  the common property (E.A.) in   modified  intuitionistic probabilistic metric spaces.Then, by the commonproperty (E.A.), we prove some common fixed point theorems in modified intuitionistic Menger probabilistic metric spaces satisfying an implicit relation

On Fixed Point Theorems in Intuitionistic Fuzzy Metric Space using E.A Property

The aim of this paper is to prove some common fixed point theorems for intuitionistic fuzzy metric space using E.A property

On metrical fixed point theorems in symmetric spaces

The aim of this paper is to obtain some common fixed point theorems for weakly compatible mappings in symmetric spaces satisfying generalized -contractive conditions under the common limit range property. Our results generalize and extend some recent results to symmetric spaces and consequently a host of metrical common fixed theorems are generalized and improved. In the process, we also derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any number of finite mappings. Some illustrative examples to highlight the realized improvements are also furnished

Fixed Points of Weakly Compatible Mappings Using Common (E.A) Like property

The aim of this paper is to prove common fixed point theorems in Menger spaces using implicit relation and common (E.A) like property. An example is derived to support our main result. We extend our result to four finite families of self mappings. As an application of our main result, we prove an integral type common fixed point theorem satisfying ψ-contraction condition in Menger space. Our results improve some recent results in Menger spaces

Some fixed point theorems for weakly compatible mappings in Non-Archimedean Menger probabilistic metric spaces via common limit range property

In this paper, we utilize the notion of common limit range property in Non-Archimedean Menger PM-spaces and prove some fixed point theorems for two pairs of weakly compatible mappings. Some illustrative examples are furnished to support our results. As an application to our main result, we present a common fixed point theorem for four finite families of self mappings. Our results improve and extend several known results existing in the literature