[PDF] Top 20 Fixed points in uniform spaces

... 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

... common fixed points in a uniform space whose uniformity is generated by a family of ...vector spaces being completely regular are uniformizable, where the uniformity of the space is induced by ... See full document

... of fixed point theory in metric spaces and has intensified in the past few decades: (a) the existence and uniqueness of fixed points of various generalizations of Banach and Kannan contrac- ... See full document

... 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

... cone uniform, uniform and metric spaces which generalize distances of Tataru [], w-distances of Kada et ...metric spaces and distances of Vályi [] in uniform ... See full document

... Let X be a uniform space equipped with an E -distance p and consider a directed graph G with V (G) = X and (X) ⊆ E(G), that is, E(G) contains all loops. Suppose further that G has no parallel edges. The graph G ... See full document

... triple fixed point is in fact unique, provide that we have to add the properties for of partial order on X 3 and the mapping j : I → ...A uniform space (X, P ) is said to be j-bounded if for every α ∈ I and ... See full document

... Let y = h(x), and so, from the above, we have y ∈ h jsF(y), that is, y = h js(q) for some q ∈ F(y). Now since hs and i are α-close, there exists U ∈ α with hs(q) ∈ U and i(q) ∈ U, that is, q ∈ U and y = h js(q) = hs(q) ∈ ... See full document

... Abstract. The intent of this paper is to extend the notions of occasionally weakly compatible mappings, subcompatibility and subsequential continuity in framework of generalized metric spaces and prove some common ... See full document

... a fixed point theorem for the self mappings of a closed convex and bounded subset of the Banach space satisfying a generalized nonexpansive type ...of fixed points with Krasnoselskii and Mann type ... See full document

... coupled fixed point of a mapping F : X × X → X and investigated some coupled fixed point theorems in partially ordered complete metric ...coupled fixed point have been obtained, see ... See full document

... common fixed point problems for mappings with quasi-contractive type ...metric spaces, but some authors in references discussed the same problems for contractive or Lipschitz ... See full document

... fixed points was recently given by Jachymski [] and Gwóźdź-Lukawska and Jachymski [] by using the context of metric spaces endowed with a ...metric spaces are given by Nicolae, O’Regan and Petruşel ... See full document

... a fixed point for T has been investigated, and some fixed point theorems and convergence theorems for T have been presented by many authors, for example, see [2, 3, 4, 5, 7, ... See full document

... In 21 the authors introduced the concept of w-distance in metric spaces which they connected to the existence of fixed point of single and multivalued maps see also 22. Similarly we extend their definition ... See full document

... Obviously, normed linear spaces are hyperbolic spaces. As nonlinear examples, one can consider the Hadamard manifolds [], the Hilbert open unit ball equipped with the hy- perbolic metric [], and the ... See full document

... Following Grabiec’s approach to fuzzy contraction principle, the purpose of this note is to obtain common fixed point theorems for asymptotically commuting maps on fuzzy metric spaces...[r] ... See full document

... In 2002, Aamari and Moutawakil [1] introduced the notion of property (E. A). Different authors ( G. V. R. Babu and G.N. Alemayehu [4], S.Mudgal [15], Talat Nazir and Mujahid Abbas [17] ) applied this concept to prove the ... See full document

... In this work, we discuss the concept of Banach operator pairs in modular vector spaces. We prove the existence of common fixed points for these type of operators which satisfy a modular continuity in modular ... See full document

... metric spaces in the ...metric spaces were studied by many other authors ...metric spaces, generalize and improve some well-known results in the ... See full document