[PDF] Top 20 A Common Random Fixed Point Theorem for Weakly Compatible Mappings in Cone Random Metric Spaces

... Fixed point theory has the diverse applications in differ- ent branches of mathematics, statistics, engineering, and eco- nomics in dealing with the problems arising in approximation theory, potential ... See full document

... unique common random fixed p oint t heorem i n c one r andom m etric spaces for four weakly compatible mappings by using an implicit ...this theorem for two and ... See full document

... {G, J} is not a δ-compatible pair. We know that 1/2 is the unique common fixed point of I, J, F and G. Hence the hypotheses of Theorem 2.1 are satisfied. Theorem 1.10 is not ... See full document

... coupled fixed points and mixed monotone property and illustrated these results by proving the existence and uniqueness of the solution for a periodic boundary value ... See full document

... as weakly commuting [9], compatible mappings [6], compatible mappings of type A [6], R-weak commutativity ...(or weakly compatable) if they merely commute at thier coincidence ... 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

... 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 fixed point ... See full document

... In metric spaces, this theory begins with the Banach fixed-point theorem which provides a constructive method of finding fixed points and an essential tool for solution of some ... See full document

... monotone mappings and gave some coupled fixed point theorems, which can be used to discuss the existence and uniqueness of solution for a periodic boundary value ...fixed point theorem for ... See full document

... is weakly compatible, we get 7% = ...a common fixed point of 7 and 8. Hence % is a common fixed point of 5, 7, 6 and ...unique common fixed ... See full document

... “Coupled Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces,” Nonlinear Analysis: Theory, Methods and Applications, ... See full document

... Random fixed point theorem for contraction mappings in polish spaces and random fixed point theorems are of fundamental importance in probabilistic ... See full document

... unique common fixed point in fuzzy metric ...occasionally weakly compatible (owc) and weaken the concept of nontrivial weakly compatible ... 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

... a cone P ⊂ E, we define a partial ordering ≤ on E with respect to P by x ≤ y if and only if y − x ∈ ...A cone P ⊂ E is called normal if there are a number K > 0 such that for all x, y ∈ ... See full document

... a cone metric space, proved the prop- erties of sequences on cone metric spaces and obtained various fixed point theorems for contractive ...a common fixed point on ... See full document

... different spaces by mathematicians over the ...usual metric space and generalized the Banach contraction principle in the context of complete b-metric ...the fixed point theory in b- ... See full document

... of fixed points and common fixed points are of linear contractive type ...fuzzy metric space and its ...fuzzy fixed point theory has become an area of interest for specialists in ... 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

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