[PDF] Top 20 Common fixed point theorems for generalized multivalued contractions on cone metric spaces over a non-normal solid cone

... fixed point theorems for multivalued mappings on complete cone metric spaces assuming that the corresponding cone is regular or normal (see ...a cone ... See full document

... complete cone b-metric if every Cauchy sequence in X is ...of cone spaces with non-normal solid cones, cannot be provided by reducing to metric spaces, ... See full document

... some fixed point theorems for mappings without commutativity conditions, but still rely on the assumption of normality in cone metric ...with non-normal cone ... See full document

... a cone metric space with a normal cone with a constant K, which is generalization of a metric ...[] generalized a cone metric space with a ... See full document

... mappings generalized metric spaces” using this ...starting point to a point the set of all fixed points of a multifunction operator ...were generalized by Dubey ... See full document

... concerning fixed points and other results, in the case of cone metric spaces with non-normal solid cones, cannot be proved by reducing to metric spaces, ... See full document

... fixed point results in the setting of cone metric spaces or tvs-cone metric spaces can be directly obtained as a consequence of the corre- sponding results in metric ... See full document

... convex cone if P + P ⊆ P and λP ⊆ P for λ ≥ . A convex cone P is said to be pointed (or proper) if P ∩ (–P) = { θ } ; and P is normal (or saturated) if E has a base of neighborhoods of zero ... See full document

... Zhang generalized the concept of metric spaces, replacing the set of real numbers by an ordered Banach space, hence they have defined the cone metric ...in cone metric ... See full document

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

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

... of cone metric spaces and ex- tended the Banach contraction principle to cone spaces over a normal solid ...More- over, they defined the convergence via ... See full document

... Fixed point theory plays a basic role in applications of various braches of mathematics, from elementary calculus and linear algebra to topology and ...analysis. Fixed point theory is not ... See full document

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

... cones over a Banach algebra and proved some fixed point theorems on cone metric ...of cone metric spaces by replacing the contractive constant by a vector of ... See full document

... .A cone K is called normal if there is a number M > 0 such that for all x, y ∈ A, θ x y implies kxk ≤ ...the normal constant of K ...a solid cone in A, and is a partial ordering with ... See full document

... Corollary 3.7. Let (X , d,s) be a cone metric type space with coefficient s ≥ 1 and P a normal cone with normal constant κ.Suppose the mappings f , g, S and T be self-mappings on X , ... See full document

... Corollary 3.5. Let (X , ≤) be a partially ordered set and suppose that there is a G−metric on X such that (X , G) is a complete G-metric space. Let F : X × X → X and g: X → X be two mappings such that F has ... See full document

... in cone metric spaces and established some coupled fixed point theorems in cone metric ...coupled common fixed point theorems for nonlinear contractive ... See full document

... of metric spaces. One of them is the cone metric space initiated by Huang and Zhang ...in cone metric spaces, introduced the notion of completeness and proved some fixed ... See full document