[PDF] Top 20 COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACE USING SEMI-COMPATIBLE MAPPINGS

... unique common fixed point in ...to semi-compatible and 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

... 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

... known common fixed point theorems involving a collection of maps in fuzzy metric spaces require one of the mapping in compatible pair to be ...the mappings in ... See full document

... prove common fixed point theorems for the class of four non compatible mappings in Intuitionistic fuzzy metric spaces are ... See full document

... S.Kumar, Common fixed point theorems for weakly compatible maps satisfying common ...intuitionistic fuzzy metric spaces using implicit relation, Journal of ... See full document

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

... of fuzzy mathematics commenced with the introduction of the notion of fuzzy sets by Zadeh [18] in 1965, as a new way to represent the vague- ness in every day ...one using fuzzy sets [17]. The ... See full document

... Definition 2.7. [18] Let ;I, J M,N , 4= be a modified intuitionistic fuzzy metric space. M is said to be continuous on I × I × 0, ∞ + lim .→∞ J M,N . , . , K . = J M,N , , K , whenever a sequence { . ... See full document

... be mappings of a completefuzzy metric space (, , ∆) into itself satisfying the inequality ...weakly compatible, then 5, 7, 6 and 8 have a unique common fixed point in ... See full document

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

... of common fixed points in the framework of fuzzy metric ...established fixed point theorems for mappings which satisfy generalized contractive conditions in ... See full document

... metrical common fixed point theorem generally involves conditions on commutatively, continuity, completeness together with a suitable condition on containment of ranges of involved mappings by ... See full document

... tible mappings and utilized it to improve and generalize the commutativity conditions employed in common fixed point ...non-compatible mappings initiated by Pant ...the ... See full document

... of metric spaces. One of such generalization is a probabilistic metric space, briefly, PM-spaces, introduced in 1942 by Menger ...This space was developed by Schweizer and Sklar [26, ... 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 generalization ... 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

... and fixed point ...for compatible mappings and compatible mappings of types (A) and (P) in digital metric ...of fixed point theorem to digital ... 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

... ψ : R + → R + : ψ ∈ U SC(R + ), ψ(0) = 0 and ψ(t) < t; ∀t > 0 . Definition 1.8. A pair of self-mappings F and G on X is weakly compatible if there exists a point x ∈ X such that F x = Gx ... See full document