[PDF] Top 20 A Common Fixed Point Theorem for Weakly Compatible Mapping in Fuzzy Metric Space Mohini Desai 1, Shailesh Patel 2*

... a compatible metric space a [0,1], f:X→X a mapping such that for each x, y X ∫ ( ( ≤α ∫ ( ( where 𝜓∶ →𝑅 is lebesgue integral mapping which is summable 𝜀≥ 0, ∫ ( >0 nonnegative and ... See full document

... provided fixed point theorems in fuzzy metric space for four self maps using the concept of compatibility where two mappings needed to be ...a common fixed point ... See full document

... of fuzzy sets was defined by Zadeh [16] since then, to use this concept in topology and analysis, many authors have expansively developed the theory of fuzzy sets and ...of fuzzy sets, George and ... See full document

... of Fuzzy sets was initially investigated by Zadeh [13] as a new way to represent vagueness in everyday ...defined Fuzzy metric space in various ...the Fuzzy metric space ... See full document

... intuitionistic fuzzy set, Alaca et.al[1] defined the notion of intuitionistic fuzzy metric space, as Park[8] with the help of continuous t – norm and continuous t – conorm, as a ... See full document

... of fixed points and common fixed points are of linear contractive type ...intuitionistic fuzzy metric space and its ...intuitionistic fuzzy fixed point ... See full document

... of Fuzzy sets was initially investigated as a new way to represent vagueness in everyday ...defined Fuzzy metric space in various ...proved fixed point results for Fuzzy ... See full document

... probabilistic metric spaces [5, 7]; fuzzy metric spaces [12, 15]; Intuitionistic fuzzy metric spaces [11, ...the common property (E.A), we prove a common fixed ... See full document

... of fuzzy set has led to a rich growth of fuzzy ...of fuzzy metric in different ways. Atanassov [2] introduced and studied the concept of intuitionistic fuzzy ...intuitionstic ... See full document

... coupled fixed point theorems which can be used to discuss the existence and uniqueness of solution for a periodic boundary value ...coupled fixed point theorem for contractions in ... See full document

... of fuzzy sets introduced by Zadeh [17], Atanassov [2] introduced the concept of intuitionistic fuzzy ...intuitionistic fuzzy sets, In 2004, Park[12] defined the notion of intuitionistic ... See full document

... the space with a more natural condition of closedness of the range as well as relaxes the compleness of the whole space, continuity of one or more mappings and containment of the range of one mapping ... See full document

... another point ݖ such that ܲݖ = ܣܤݖ then by inequality (1) we have ܲݖ = ܣܤݖ = ܳݖ = ...unique point of coincidence of ܲ and ܣܤ. By lemma 2.6, ݓ is the only common fixed point of ܲ ... See full document

... turning point in the development of fuzzy mathematics when the notion of fuzzy set was introduced by ...intuitionistic fuzzy sets. D.Coker [4] introduced the concept of intuitionistic ... See full document

... Boxer 1 produced the digital versions of the topological principles and later studied digital continuous ...Lefschetz fixed point theorem for digital images and proposed the notion of a ... See full document

... of fuzzy sets was initiated by Zadeh in ...of fuzzy sets in the fields of topology and analysis. The notion of fuzzy metric spaces has very important applications in quantum particle ...to ... See full document

... For example, Deng [5], Ereeg [6], Fang [7], George and Veeramani [8], Kaleva and Seikkala [12], Kramosil and Michalek [11] have introduced the concept of fuzzy metric spaces in different ways. In ... See full document

... Remark 2.5. The converse of the above Lemma is not true. That is, if P,Q,S and T are self maps of a metric space ( , ) X d satisfying (2.4.1) , (2.4.2) and even if for any x 0 in X and for any of its ... See full document

... unique common fixed point in ...occasionally weakly compatible self maps and continuity of the mappings have been completely ... See full document

... a fuzzy metric on a set X is treated as a map where X represents the totality of all fuzzy points of a set and satisfy some axioms which are analogous to the ordinary metric ...is fuzzy ... See full document