[PDF] Top 20 Fixed Points for Multivalued Mappings and the Metric Completeness

... vii⇒vi. Let T satisfy 3.22. We show that T satisfies 3.23 to obtain a fixed point for T . Let θrdx, Tx ≤ dx, y, r : 2β γ. Thus dTx, Ty ≤ γdx, y βdx, Tx dy, Ty ≤ 2β γ max{dx, y, dx, Tx, dy, Ty} rdx, y ∨ rdx, Tx ∨ ... See full document

... fixed points for multivalued mappings f : S → S, where (S,F, T) is a complete Menger PM-space with a t-norm of H-type T and S is endowed with a directed graph G = (V(G), E(G)) such that V (G) = S and ... See full document

... fuzzy metric spaces and proved fuzzy contraction fixed point theorems under different ...fuzzy metric space is replaced by a fuzzy metric ...fuzzy metric space and proved common fixed point ... See full document

... single-valued mappings in a metric space endowed with a partial ordering have been widely ...for multivalued mappings to metric spaces, Nadler [] ob- tained the following ... See full document

... essential multivalued fractals considered as fixed points of the induced (single-valued) Hutchinson-Barnsley operators in ...fixed points of ‘near’ single-valued approximations, but in a numerical ... See full document

... continuous mappings. Kannan [] proved fixed point theorems for mappings which are not necessarily ...characterizes metric completeness by using a different type of contractive ...are ... See full document

... In this paper, we establish two coupled fixed point theorems for multivalued nonlinear contraction mappings in partially ordered fuzzy metric spaces. The theorems presented extend some corresponding ... See full document

... Let X be a metric space. Recall that a mapping f : X → X is said to be quasi-nonexpansive if dfx, p ≤ dx, p for all x ∈ X and p ∈ Fixf . In this case, we will assume that Fixf / ∅. In 17, Chaoha and Phon-on showed ... See full document

... of multivalued functions has advanced in a variety of ...of multivalued map- pings started with the work of Nadler [], who proved that a multivalued contractive map- ping of a complete metric ... See full document

... Fixed point theorems for multi-valued mappings in complete metric spaces, Math.. Common fixed points of two mappings, Pacific J.[r] ... See full document

... Hausdorff metric on the family of closed bounded subsets of a dualistic partial metric space (DPMS) and establish a common fixed point theorem of a pair of multivalued mappings ... See full document

... a fixed point. Since then the fixed point theory for single-valued and multivalued mappings in CAT(0) spaces has been rapidly developed and many of papers have appeared (see ...that ... See full document

... quasi-nonexpansive mappings i.e., mappings for which its fixed points are centers with nonempty fixed point sets in CAT 0 spaces and dropping the condition given by ...nonexpansive ... See full document

... fixed points of multivalued mappings with respect to the Haus- dorff metric, using Mann [] or Ishikawa [] iteration scheme, has never been successful without imposing the condition that either ... See full document

... the multivalued version of Banach contraction ...the metric fixed point theory of multivalued mappings has been rapidly ...classical fixed point theorems for singlevalued ... See full document

... and multivalued mappings in a D-metric space satisfying a con- traction condition more general than that given in Dhage [1, 2, 3, 4, 5, 7] and Rhoades ... See full document

... common fixed points of contractive-type multivalued mappings on partial metric spaces which cannot be deduced from the corresponding results in metric ...for metric spaces ... See full document

... in fixed point of modular ...modular metric space generated by F-modular and developed the theory of this space [8], on the same idea was defined the notion of a modular on an arbitrary set and developed ... See full document

... [1] fixed point theo- rem for single-valued mappings, extended to a coincidence theorem for a pair of a ran- dom operator f : Ω × X → X and a multivalued random operator T : Ω × X → CB(X), satisfying ... See full document

... ordinary metric functions and went on to presentseveral fixed point results for single and multivalued ...generalized metric space which called G-metric spaces, and obtained some ... See full document