[PDF] Top 20 Fixed Point Theorem for Occasionally Weakly Compatible Mappings in Modified Intuitionistic Fuzzy Metric Space

... self mappings (݂, ݃ ) of modified intuitionistic fuzzy metric space (ܺ, ℳ ெ,ே , ࣮ ) is said to be weakly compatible if they commute at coincidence point that ... 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

... introduced fuzzy metric space, George and Veermani [7] modified the notion of fuzzy metric spaces with the help of continuous ...common fixed point theorem ... See full document

... that occasionally weakly compatible mappings are not weakly com- ...self mappings (A, P) and (B, Q) are commuting and the mappings A, B, S, T, P and Q have unique common ... See full document

... a fuzzy metric space, George and Veermani [4]modified the notion of fuzzy metric spaces with the help of continuous ...of compatible maps for a pair of self ...in ... See full document

... The fixed point theory has become a part of non-linear functional analysis since ...semi-metric space as a generalization of metric ...semi-metric space and proved the ... 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

... 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

... common fixed point theorem for occasionally weakly compatible mappings satisfying implicit relations in intuitionistic fuzzy metric space which ... See full document

... common fixed point theorems under strict contractive condition in metric ...in fuzzy metric ...conditional compatible maps. Faintly compatible maps introduced by Bisht and ... See full document

... metrizable space and vice versa.George and veeramani [11] modified the concept of fuzzy metric space due to Kramosi and Michalek [6] and defined a Hansdorff topology on modified ... See full document

... Note. The concepts of triangular norms (t- norms) and triangular conorms (t-conorms) are known as the axiomatic skeletons that we use for characterizing fuzzy intersections and unions, respectively. These concepts ... See full document

... Lefschetz fixed point theorem for digital images and proposed the notion of a digital metric space and proved the well-known Banach Contraction Principle for digital ...Digital ... See full document

... common fixed theorem for weakly compatible mappings via an implicit relation in Intuitionistic fuzzy metric ...Common fixed point theorems in ... See full document

... of fuzzy set. Atanssov [5] introduced the concept of Intuitionistic fuzzy metric ...a fixed point result for a single mapping satisfying Banach's contraction principle for an ... See full document

... a point of coincidence as f and g satisfy all the conditions of Theorem ...is occasionally weakly ...common fixed point, say z. Now one need to show that z remains the ... See full document

... are fuzzy sets from I x 0, ∞ to [0, 1] such that J, , K + D, , K ≤ 1 66 , ∈ I K > ...a modified intuitionistic fuzzy metric space if X is an arbitrary (non – empty) set, T is ... See full document

... It is a contradiction. Hence Qv = STv.....(xi) Thus ABu = Pu = STv = Qv = p,say......(xii) Since the pair (P, AB) is weakly compatible we have Pp = PPu = PABu = ABPu = ABABu = ABp......(xiii). Suppose r = ... See full document

... of intuitionistic fuzzy sets as a generalization of fuzzy ...of intuitionistic fuzzy metric space with the help of continuous t-norms and continuous ...of ... See full document

... The famous Banach contraction principle states that if , is a complete metric space and : → a contraction mapping i.e., , , for all , ∈ , where is a nonnegative number such that 1, then has a unique ... See full document