Common Fixed Point Theorems in Intuitionistic Fuzzy Metric Space Using Occasionally Weakly Compatible Maps with Integral Type Inequality (original) (raw)
Bharti Mishra, Arun Kumar Garg and Z.K. Ansari, 2023
In present paper, we introduce common property (E.A) in modified intuitionistic fuzzy metric spaces and utilize the same to prove common fixed point theorems in modified intuitionistic fuzzy metric space besides discussing related results and illustrative examples. We are not aware of any paper dealing with same conditions modified intuitionistic fuzzy metric spaces Mathematics Subject Classification (MSC): 47H10, 54H25.
Fixed Point Theorems for Faintly Compatible Mappings in Intuitionistic Fuzzy Metric Space
Journal of the Indian Mathematical Society, 2017
In this paper, we correct the contractive condition of Manro and Kang [16] and prove some common fixed point theorems for four faintly compatible mappings using subsequential continuous mappings in Intuitionistic Fuzzy metric spaces. We also provide an example in support of our main result. Our results improve and generalize the results of Manro and Kang [16].
Existence and uniqueness of fixed points in modified intuitionistic fuzzy metric spaces
In this paper, utilizing the concept of common limit range property, we prove integral type common fixed point theorems for two pairs of weakly compatible mappings satisfying \phi -contractive conditions in modified intuitionistic fuzzy metric spaces. We give some examples to support the useability of our results. We extend our results to four finite families of self mappings by using the notion of pairwise commuting.
2017
In this paper, we introduce fruitful concepts of common limit range and joint common limit range for coupled mappings on modified intuitionistic fuzzy metric spaces. An illustrations are also given to justify the notion of common limit range and joint common limit range property for coupled maps. The purpose of this paper is to prove fixed point results for coupled mappings on modified intuitionistic fuzzy metric spaces. Moreover, we extend the notion of common limit range property and E.A property for coupled maps on modified intuitionistic fuzzy metric spaces. As an application, we extend our main result to integral type contraction condition and also for finite number of mappings on modified intuitionistic fuzzy metric spaces.
Some Fixed Point Theorems in intuitionistic fuzzy metric spaces
Tamkang Journal of Mathematics, 2011
The aim of this paper is to prove some common fixed point theorems by using the property (S-B) and the notion of R-weak commutativity of type (S p) in intuitionistic fuzzy metric spaces. We first formulate the definition of R-weakly commuting mappings of type (S p) in intuitionistic fuzzy metric spaces and prove the intuitionistic fuzzy version of Pant's theorem.