[PDF] Top 20 Common Fixed Point for Four Mappings in Cone Metric Space

... 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

... a cone metric type space, which is a generalization of a cone metric ...some common fixed point theorems for four mappings in those ...solid ... See full document

... some fixed and common fixed point theorems have been obtained in [1], ...initiated cone metric spaces, which is a generalization of metric spaces, by substituting the real ... See full document

... self mappings to be weakly compatible if the commutes at their coincidence ...coincidence point results for various classes of mappings in a metric ...a metric space, replacing ... 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

... of metric domains in the context of domain ...dislocated metric space is ...established fixed point theorems in dislocated metric ...dislocated metric space (see ... See full document

... valued metric space and established some sufficient conditions for existence of common fixed points of a pair of mappings satisfying a contractive ...on common fixed ... See full document

... Banach space and defining cone metric ...some fixed point theorems of contractive mappings on cone metric ...of fixed point theorems in such spaces is ... See full document

... Let us mention that nonconvex analysis, especially ordered normed spaces, normal cones, and topical functions 2, 4–9 have some applications in optimization theory. In these cases, an order is introduced by using vector ... See full document

... of cone metric spaces and fixed point theorems of contraction mappings; Any mapping of a complete cone metric space into itself that satisfies, for some 0 ≤ < 1 ... 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 metric ... 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

... d( f x, f y) αd(x, y) + β [d(x, f x) + d(y, f y)] + γ [d(x, f y) + d(y, f x)] (3.3) for all x, y ∈ X , where α , β , γ ≥ 0 and α + 2β + 2γ < 1. Then f has a unique fixed point in X . Proof. Set p = q = 1 ... See full document

... several fixed point theorems for mappings without appealing to commutativity conditions in cone metric ...a common fixed point theorem for four self ... 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

... 2-metric space akin to the metric space (X, ...generalized metric space called D-metric space [1, ...ordinary metric functions and presented several ... See full document

... of cone metric space and cone normed linear space are recent development in functional ...of cone metric space was introduced by Long- Guang and Xian ...of ... See full document

... , Common fixed point theorems for weakly compatible pairs on cone metric spaces, Fixed point theory ...Vetro, Common fixed points in cone ... See full document

... of fixed point theory is Banach Contraction priciple which was done by Banach in ...1922. Fixed In 2011 Akbar Azam et ...valued metric space. The concept of coupled fixed ... See full document

... a cone metric type space with coefficient s ≥ 1 and P a normal cone with normal constant ...the mappings f , g, S and T be self-mappings on X , such that f (X ) ⊂ T (X ), g(X) ⊂ ... See full document