[PDF] Top 20 Fixed points of set-valued maps in locally complete spaces

... a Banach space we say that B is a Banach disk. We say that X is a locally complete space if each closed, bounded disk is a Banach disk. Local complete spaces are also known as c ∞ or ... See full document

... Recently, Włodarczyk and Plebaniak in [] have studied among others the J -families of generalized pseudodistances in cone uniform, uniform and metric spaces which generalize distances of Tataru [], w-distances ... See full document

... 11. More fixed point theorems. One can obtain Kakutani and Browder type the- orems for spaces with generalized convexity by repeating arguments that work for topological vector spaces (see [15, 16, 23, 25, ... See full document

... Schauder fixed point theorem [16] has been generalized in various directions by using different methods, see [1–6,8,12,13,15,17] and reference ...the set of fixed points has important ... See full document

... metric spaces were introduced by Huang and Zhang 1. They replaced the set of real numbers by an ordered Banach space and obtained some fixed point theorems for mapping satisfying different ... See full document

... Now, by using the technique in [], we present a new coupled fixed point result. For more details on coupled fixed point theory, see [–] and the references therein. Corollary . Let (M, ρ) be a complete metric ... See full document

... PRELIMINARIES Fixed point theorems are very important tools for providing evidence of the existence and uniqueness of solutions to various mathematical models ...discover fixed points of self and ... See full document

... Tx, Ty, Tz ≤ α G gx, gy, gz G gx, gy, gz , (2) for all x, y, z Î X. If for any x Î X, Tx ⊆ g(X) and g(X) is a G-complete subspace of X, then g and T have a point of coincidence in X. Furthermore, if we assume that ... See full document

... convex spaces studied in 3, 10, 12 satisfy condition i as well as for any uniformly convex CATk space with k ∈ ...CATk spaces with k ≤ 0 are particular examples of hyperbolic uniformly convex ...a ... See full document

... these spaces and new distances induced by these generalized pseudodistances are introduced and a new type of sequential completeness which extended the usual sequential completeness is ...of ... See full document

... Proof. Let (X, M, *) be standard fuzzy metric space induced by the metric d with a * b = ab. Now we show that the conditions of Theorem 2.4 are satisfied. Since (X, d) is a complete metric space then (X, M, *) is ... See full document

... In this paper, we introduce a new concept of fuzzy α - ψ -contractive type set-valued mappings and establish fixed-point theorems for such mappings in complete fuzzy metric spaces. Starting ... See full document

... the set of real numbers by ordered Banach space, deffined a cone metric space, and established some fixed point theorems for contractive type mappings in a normal cone metric ...common fixed point of ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... We let (X,d) be a complete metric space and let B(X) be the set of all nonempty sub- sets of X. As in [1, 2], we define the function δ(A,B) with A and B in B(X) by δ(A,B) = sup{d(a,b) : a ∈ A,b ∈ B}. If A ... See full document

... of fixed points for various multi-valued contractive mappings had been studied by many authors under different ...below fixed point theorem for multi-valued ... See full document

... Takahashi, “Fixed point theorems for multivalued mappings on complete metric spaces,” Journal of Mathematical Analysis and Applications , vol. Reich, “Fixed points of contractive functio[r] ... See full document

... Some important works on fixed point theorems for set valued and multivalued contrac- tion mappings were carried out by Nadler [8] and Assad and Kirk [2]. The concepts of fixed point theory and graph theory ... See full document

... Recently, ´ Ciri´c 7 has introduced multivalued contractions and obtained some interesting results which are proper generalizations of the recent results of Klim and Wardowski 9, Feng and Liu 12, and many others. In the ... See full document

... G-metric spaces, many authors obtained fixed point theorems for mappings satisfying different contractive-type conditions in G-metric spaces (see, ...G-metric spaces (see, ... See full document