[PDF] Top 20 Related fixed points for set valued mappings on two uniform spaces

... for n > N . The result of the lemma follows from inequalities (1.14) and (1.17). Remark 1.2 . If we replace the uniform space (X, ᐁ ) in Lemma 1.1 by a metric space (i.e., a metrizable uniform space), ... 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 consists ... See full document

... metric spaces originated in 1942 by Karl Menger ...metric spaces and metric spaces can be drawn in a situation when we only know probabilities of possible values of distances between two ... See full document

... for any x, y ∈ X and t > , where ψ is a function whose definition is given in Section . Moreover, some authors established fixed-point theorems for such mappings in complete fuzzy metric spaces. ... See full document

... contractive mappings of the form F : CB(X) → CB(X ), where CB(X ) is the set of all nonempty closed and bounded subsets of a complete metric space X endowed with a graph ...is related to the fixed ... See full document

... the set of all common fixed points for a contin- uous nonexpansive semigroup of nonlinear mappings acting in modular function spaces can be represented as an intersection of fixed point sets of ... See full document

... tions related to stationary points of nonexpansive multivalued mappings provided the ex- istence of approximate stationary point sequences is ...involving uniform convexity and wonders about ... See full document

... Some emblematic and particular cases of standard weak contractions are the Chatterjea [] and Kannan [] contractions. Natural extensions of these concepts are obtained for set-valued mappings ... See full document

... closed valued u.s.c. and there exist a topological space Z and two single-valued continuous maps p : Z → X, q : Z → Y such that p is proper and for any x ∈ X, (i) p −1 (x) is acyclic, and (ii) q(p −1 ... See full document

... them, related to our discussion below, are contained in ...metric spaces, a result due to Lim ([]) on the existence of fixed points for weakly inward multivalued contractions, defined on a nonempty ... See full document

... In this paper we use a modified Caristi type inequality in complete metric space to prove some related fixed point theorems for multivalued mappings. As applica- tion, we give a new version of ... See full document

... Hausdorff uniform spaces, which simultaneously generalizes the well-known Banach contractions on metric spaces as well as γ -contractions [] on locally convex spaces, and he proved the ... See full document

... of set-valued mappings satisfying some quasi-contractive condi- ...of mappings and the boundary condition of a closed subset of a metrically convex space, and then prove that the unique limit ... See full document

... In this paper, we present some fixed-point theorems that are related to a set-valued Caristi-type mapping. The main results extend the recent work which was presented by Jiang and Li (Fixed ... See full document

... metric spaces we refer to as KM-spaces were initiated by Kramosil and Michálek ...metric spaces called GV-spaces in this paper, with the help of continuous t-norms (see []) in order to obtain ... See full document

... In this section we present fixed points theorems for set-valued mappings defined on uniformly convex metric spaces. Results stated for uniformly convex metric space with a ... See full document

... A number of authors introduce the new concepts of set-valued contractions of Nadler type and study the problem concerning the existence of fixed points for such contractions; see, e.g., Aubin and ... 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

... single-valued mappings on two metric ...single-valued mappings into set-valued ...of set-valued mappings in complete and compact 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