[PDF] Top 20 A Common Fixed Point Theorem On Lohani And Bhadshah Using A- Compatible And S-Compatible Mappings

... a common fixed point theorem for commuting mapping maps ,which generalizes the Banach’s fixed point theorem and he also introduced the concept of compatible maps ... See full document

... During the last few decades, a number of hybrid contractive mapping results have been obtained by many mathematical researchers. For example, Song [25, 26], Al-Thagafi and Shahzad [2], Shahzad [21] and Hussain and Junck ... See full document

... Theorem.3.2. Let N be a modular metric space and I, J, S, T : N → N be self mappings such that c N ⊆ e N , and N ⊆ f N and one of f N or e N be a -complete subspace of N . Suppose there exists number ... See full document

... weakly compatible if they commute at their coincidence ...in fixed-point theorems by introducing the notion of weak commuting maps in metric ...to compatible maps. The notion of ... See full document

... 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 fixed ... See full document

... commuting mappings are compatible, but converse is not ...a common fixed point theorem for compatible mappings satisfying contractive type conditions and continuity ... See full document

... Now we prove a lemma which plays an important role in our main theorem. Lemma 2.9. Let A, B, S and T be self mappings from a complete metric space (X, d) into itself satisfying the conditions (2.7.1) ... See full document

... In 1986, S. G. Matthews [1] introduced some concepts of metric domains in the context of domain theory. In 2000, P. Hitzler and A. K. Seda [2] introduced the concept of dis- located topology where the initiation ... See full document

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

... self mappings which contained the class of non-compatible mappings in metric ...more mappings and containment of the range of one mapping into the range of other which is utilized to construct ... 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 = M(p, Pp, ... See full document

... obtain common fixed point ...of compatible maps in G – metric space as follows: Let f and g be maps from a G – metric space (X, G) into ...be compatible map if there exists a sequence {x n } ... See full document

... of compatible mapping in a Menger space has been introduced by Mishra ...of compatible maps of type (A) in Menger space and gave some fixed point ...Recently, using the concept of ... See full document

... Therefore, by using lemma 2.2, we get Pw = z.Therefore, ABw = Pw = z. As (P, AB) is compatible pair of type (P), we have Pz = ABz. Also, from step 4, we get Bz = z. Thus, Az = Bz = Pz = z and we see that z ... See full document

... Conclusion. Theorem 3.1 is a generalization of the result of Singh et. al. [17] in the sense that condition of compatibility and weak compatibility of the pairs of self maps has been restricted to ... See full document

... of fixed point of mappings on non-Archimedean Menger space has been given by Istratescu  ...a common fixed point theorem for compatible mappings in ... See full document

... unique common fixed point in X. Now we generalize the theorem using compatible mappings of type (E) and associated ...B, S and T are self maps of a metric space ... See full document

... weakly compatible if they commute at their coincidence ...in fixed-point theorems by introducing the notion of weak commuting maps in metric ...to compatible maps. The notion of ... See full document

... Cho, S. S. Chang, et al., “Compatible Mappings of Type (P) and Fixed Point Theorem in Metric Spaces and Probabilistic Metric Spaces,” ... 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 associated ... See full document