Common Fixed Point Theorem of Semi-Compatible Maps on Intuitionistic Fuzzy Metric Space (original) (raw)
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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].
Semi-Compatible Maps On Intuitionistic Fuzzy Metric Space
IOSR Journal of Mathematics, 2013
In this paper, we prove common fixed point theorem for semi-compatible mappings on intuitionistic fuzzy metric space with different some conditions of Park and Kim ([10], 2008). This research extended and generalized the results of Singh and Chauhan ([14], 2000). The concept of fuzzy set was developed extensively by many authors and used in various fields. Several authors have defined fuzzy metric space Kramosil and Michalek(([5],1975) etc.) with various methods to use this concept in analysis. Jungck (([3],1986), ([4],1988)) researched the more generalized concept compatibility than commutativity and weak commutativity in metric space and proved common fixed point theorems, and Singh and Chauhan ([14],2000) introduced the concept of compatibility in fuzzy metric space and studied common fixed point theorems for four compatible mappings.
Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces
Journal of Applied Mathematics, 2013
This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise R-weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. In the second section, we prove common fixed point theorems in modified intuitionistic fuzzy metric space from the class of compatible continuous mappings to noncompatible and discontinuous mappings. Lastly, as an application, we prove fixed point theorems using weakly reciprocally continuous noncompatible self-mappings on modified intuitionistic fuzzy metric space satisfying some implicit relations.
Applied Mathematics and Sciences: An International Journal (MathSJ), 2015
In this paper, we give some new definition of Compatible mappings of type (P), type (P-1) and type (P-2) in intuitionistic generalized fuzzy metric spaces and prove Common fixed point theorems for six mappings under the conditions of compatible mappings of type (P-1) and type (P-2) in complete intuitionistic fuzzy metric spaces. Our results intuitionistically fuzzify the result of Muthuraj and Pandiselvi [15]