[PDF] Top 20 Study of Common Fixed Point Results for Compatible Mappings in Cone Metric Space

... a common fixed point theorem for commutative mappings, generalizing the famous Banach contraction ...of compatible mapping in order to generalize the concept of weak ...some ... See full document

... of cone metric space and proved some fixed point theorems in cone metric spaces for mapping satisfying various contractive ...authors study this subject and many ... See full document

... -compatible mappings, b-coupled coincidence point and b-common coupled fixed point for mappings F , G : X × X ® X , where ( X , d ) is a cone metric ...b- ... See full document

... of cone metric space as a gener- alization of metric space, in which they replace the set of real numbers with a real Banach ...fixed point theorems for contractive type ... See full document

... unique common ran- dom fixed p oint t heorem i n t he f ramework o f c one random metric spaces for four weakly random compatible mappings under strict contractive ...random ... See full document

... and common fixed point for noncommuting mappings satisfying some contractive conditions in fuzzy cone metric spaces are established and the results are justified by an ... See full document

... unique point of coincidence in X. Moreover, if {F, S} is a weakly compatible pair, then F and S have a unique common fixed ...solid cone. Suppose that self- mappings F, S : X → X ... See full document

... Menger space has been established by Istratescu  and Crivat ...of fixed point of mappings on non-Archimedean Menger space has been given by Istratescu  ...the results of Sehgal ... See full document

... a metric space, replacing the set of real numbers by an ordered Banach space and obtained some fixed point theorems for mapping satisfying different contractive ...studied common ... See full document

... studied common fixed point results for noncommuting mappings without continuity in cone metric space with normal ...our results are related to the ... See full document

... of fixed point theorems in metric spaces has important theoretical and practical ...complete metric space and T : X ® X a contractions mapping on X ...unique fixed point ... 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 is the ... See full document

... a common fixed point theorem for commuting map- pings,which generalizes the Banach Contraction ...commuting mappings and proved some fixed point theorems in complete ... See full document

... which by lemma 3.1, implies that Au = z. Hence, Au = z = Su. Since A X ( )  T X ( ), there exists v  X such that Tv = z. Following the arguments similar to those given above, we obtain z = Bv =Tv. Since u is a ... 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 applications of ... See full document

... 218 | P a 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 X. Remark 3.2. Theorem 3.1 is a generalization of the result of Sharma [13] in ... See full document

... Fixed point and common fixed point results for mappings in tvs-cone metric spaces (with the underlying cone which is not normal) under contractive ... See full document

... self mappings to be weakly compatible if they commute at their coincidence ...coincidence point results for various classes of mappings in a metric ...of cone ... See full document

... Given a cone P  E, we define a partial ordering ≤ with respect to P by x ≤ y if and only if y-xP .We write x ≤ y to indicate x ≤ y but x ≠ y and x<<y will stand for y-xInt(P). (Int(P) = interior of P). ... See full document

... = forall ∈ (3.14) Similar to process of theorem 3.1, we can prove { } is a b- Cauchy sequence in ( , ). Since ( , ) is a complete b- metric space, then{ } converges to some ∈ as → +∞. Now, we shall prove ... See full document