[PDF] Top 20 Fixed Point Theorems on Spaces Endowed with Vector-Valued Metrics

... Remark 2.17. If in the above results we consider m 1, then we obtain, as consequences, several known results in the literature, as those given by M. Berinde and V. Berinde 8, Precup 5, Petrus¸el and Rus 11, and Feng and ... See full document

... where λ ∈ [, ). Then T has a fixed point, that is, there exists a point x ∈ X such that x ∈ Tx. Shukla et al. [] unified the results of Prešić and Nadler and studied the fixed point results for ... See full document

... On the other hands, Jachymski [] initiate the study of fixed point theorems in met- ric spaces endowed with graphs. Jachymski generalized the Banach contraction principle and unified the ... See full document

... ABSTRACT: In this paper, the existence and uniqueness of coupled xed point for mapping having the mixed monotone property in partially ordered Banach spaces which endowed with vector-v[r] ... See full document

... metric spaces, although the name “metric” is due to Housdorff ...metric spaces in which an ordered vector spaces used as the co domain of a metric instead of the set of the real ...metric ... See full document

... metric spaces endowed with directed graphs. Fixed point theorems for this type of mappings are ...fixed point for a multi-valued mapping defined on a partially ordered ... See full document

... Vetro, Fixed point theorem for α-ψ contractive type mappings, Nonlinear ...existing fixed point results in the literature, in particular the Banach contraction ...related fixed ... See full document

... action spaces are replaced by metric spaces endowed with an ordered or partially ordered ...fixed point theory in ordered metric ...metric spaces and applied their results in ordinary ... See full document

... Nadler’s fixed point theorem to partial metric spaces and introducing the concept of partial Hausdorff ...some fixed point theorems in the context of partial metric spaces ... See full document

... on spaces endowed with vector-valued metrics by Perov [] and Perov and Kibenko ...on spaces endowed with vector-valued metrics is treated in [–], ... See full document

... of fixed point theory in partially ordered metric spaces (see ...contraction fixed point theorem in a space with two metrics were proved (see ...two metrics and generalise ... See full document

... Fixed point theory plays one of the important roles in nonlinear ...famous fixed point theorem for contractive mappings in complete metric ...b-metric spaces (Alikhani et ... See full document

... type fixed point theorems for contractive type ...metric spaces and fixed points results of mappings satisfying contractive type condition in cone metric ...topological vector ... See full document

... topological vector space (tvs)-cone metric spaces are introduced and a fixed point theorem in the context of tvs-cone metric spaces with respect to a solid cone is ... See full document

... The sets of the form x, y are called order intervals. It is easily verified that order-intervals are convex. A subset A of E is said to be order-convex if x, y ⊂ A, whenever x, y ∈ A and x y. Ordered topological ... See full document

... of vector metrics is based on closed convex cones in normed vector spaces, and every closed convex cone in a vector space can induce a partial order on it, which equips this ... See full document

... Motivated by the results of Frigon, I slightly modified the definition of homotopic con- tractive maps. I proved that the property of having a fixed point is invariant by homotopy for fuzzy contractive maps. This ... See full document

... Theorem 2.7. Every generalized multivalued almost I -contraction in a metric space X, d has the approximate coincidence point property provided each Tx is I-invariant. Further, if X, d is compact and the function ... See full document

... complex valued metric space which is a generalization of the classical metric space and proved a unique common fixed point theorems for two self-mappings satisfying a rational type ...complex ... See full document

... complex valued G b -metric ...coupled fixed point and proved some fixed point results in this ...coupled fixed point for a mapping in complex valued G b -metric ... See full document