[PDF] Top 20 A common fixed point theorem for weakly compatible maps satisfying common property (E:A:) and implicit relation in intuitionistic fuzzy metric spaces

... of compatible maps for a pair of self ...of common fixed points of non-compatible maps is also very interesting (see ...of property (E.A) and in 2005, Liu et al. [13] ... See full document

... an intuitionistic fuzzy metric space (X, M, N,*, ◊),is said to be weakly compatible if they commute at coincidence points, ...STu. Common Fixed Point Theorem ... See full document

... proved common fixed point theo- rems using ...(CLRg) property. It has been noticed that (CLRg) property never requires completeness (or closedness) of subspaces (also see ...introduced ... See full document

... side, Fixed Point Theory is one of most valuable research branches in Non- linear ...abstract metric spaces. In last two decades xed point theorems have been largely explored in the ... See full document

... of fuzzy sets was introduced by Zadeh [16], there are many study results in this ...of fuzzy set. Atanassov [4] introduce the concept of intuitionistic fuzzy sets, Park [12] defined and ... See full document

... of fuzzy sets was introduced by Zadeh [13] . Following the concept of fuzzy sets, fuzzy metric spaces have been introduced by Kramosil and Michalek [9], George and Veeramani [6] ... See full document

... of fuzzy sets was introduced initially by Zadeh [11] in the year ...of fuzzy sets, Atanassove [24] introduced the concept of Intuitionistic fuzzy ...of Intuitionistic fuzzy sets. ... 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 ... See full document

... of compatible maps for a pair of self ...of implicit function to prove a common fixed point theorem in metric space, Singh and Jain [11] extened the result of Popa ... See full document

... G., Compatible mappings and fixed points, ...On fuzzy metric spaces, Fuzzy Sets and Systems, 12 (1984), ...J., Fuzzy metric and Statistical metric ... See full document

... which is a contradiction to (B). Therefore, Az = z = Sz. Similarly, we prove that Bz = z = Tz by using (3.3). Therefore, in all, z = Az = Bz = Sz = Tz. i.e. z is common fixed point of A, B, S and T. ... 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 fuzzy set was developed extensively by many authors and used in various ...defined fuzzy metric space ([7] ...upgraded intuitionistic fuzzy metric space and Park ...proved ... See full document

... of fuzzy mathematics commenced with the introduction of the notion of fuzzy sets by Zadeh ([14], 1965), as a new way to represent the vagueness in everyday ...using fuzzy sets by ...of ... See full document

... be two sequences in X. The pairs ( f , k) and (g, h) satisfy (E.A.) property. Also the pairs ( f , k) or (g, h) satisfy (CLRf) or (CLRg) property. The pairs ( f , k) and (g, h) are weakly ... See full document

... The objective of this paper is to give digital version of above theorem using an implicit function which is general enough to cover several linear as well as some nonlinear contractions. Our results ... See full document

... MABf 1 , BAf 1 , t ≥ MAf 1 , Bf 1 , tfor all t > 0 Then MAf, Bf, t ≥ Mf, f, t for all t > 0 ……………………(1) Implies Bf = Af = g thus we have a coincidence point for A and B. For uniqueness let h be another ... See full document

... g e If the range of one of the subspaces is complete then A, S, P and Q have a unique common fixed point in ...self maps has been restricted to semi-compatible and occasionally ... See full document

... to weakly commuting ...of weakly commuting mappings by adding the notion of compatible ...of compatible mappings in the setting of probabilistic metric ... See full document

... turning point in the development of mathematics when the notion of fuzzy set was introduced by Zadeh[15], which laid the foundation of fuzzy ...of fuzzy metric space introduced by ... See full document