Uniform Spaces
Periodic Point, Endpoint, and Convergence Theorems for Dissipative Set-Valued Dynamic Systems with Generalized Pseudodistances in Cone Uniform and Uniform Spaces
... 23 K. Włodarczyk, R. Plebaniak, and C. Obczy ´nski, “Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform ...
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Kannan-type contractions and fixed points in uniform spaces
... in uniform spaces, using J -families of generalized pseudodistances, we construct four kinds of contractions of Kannan type (see conditions (C1)-(C4)) and, by techniques based on these generalized ...
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More Properties of Semi Linear Uniform Spaces
... In 2009, Tallafha, A. and Khalil, R. [10], defined a new type of uniform spaces, namely semi-linear uniform spaces and they gave example of semi-linear space which was not metrizable. Also ...
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Stability of common fixed points in uniform spaces
... 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 a family of ...for uniform ...
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Fixed points for G-contractions on uniform spaces endowed with a graph
... to uniform spaces endowed with a graph and to present a new type of contractive ...(ordered) uniform fixed point theorems may consult the references ...
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Fixed points and endpoints of contractive set-valued maps in cone uniform spaces with generalized pseudodistances
... cone uniform spaces with generalized pseudodistances, and we show how in these spaces our fixed point and endpoint existence theorem of Caristi type [, ...
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1. Triple fixed points in ordered uniform spaces
... Abstract. In this paper, we prove some tripled fixed point theorems for gen- eralized contractive mappings in uniform spaces and apply them to study the existences-uniqueness problem for a class of ...
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Fixed point of α-ψ-contractive type mappings in uniform spaces
... In this paper, we shall consider the characterization of the notions of α-ψ-contractive and α-admissible mappings in the context uniform spaces. Further, we shall prove some fixed point theorems by using ...
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Modified semi-linear uniform spaces and new types of contractions
... of uniform space namely, semi-linear uniform space ...semi-linear uniform spaces are defined, which enables one to study fixed point for such ...
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Maximality Principle and General Results of Ekeland and Caristi Types without Lower Semicontinuity Assumptions in Cone Uniform Spaces with Generalized Pseudodistances
... and uniform spaces and in metric and uniform spaces with generalized distances are given and various techniques and methods of investigations notably based on maximality principle are ...
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Covering L-locally uniform spaces
... of uniform spaces namely locally uniform spaces were developed by James Williams [24] via localization of the triangle axiom through entourage ...of uniform spaces many ...
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Fuzzy TL uniform spaces
... TL-uniform spaces with the category of uniform ...TL-uniform spaces into the category of fuzzy T-locality spaces and we show that it pre- serves optimal ...
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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 ...
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Non archimedean metric induced fuzzy uniform spaces
... A fuzzy uniform space X,U is called ultracomplete [9] if for each minimal hyper Cauchy prefilter C there exists x e X such that C Ux where Ux := which is equivalent to the fact that X,I [r] ...
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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), ...
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Aspects of complete uniform spreads in frames
... complete uniform spread together with its com- pletion was introduced into the category U nif of uniform spaces and uniformly con- tinuous functions by Hunt [6] (see also ...of uniform frames ...
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Best Approximation in Uniformity Type Spaces
... Proof. If possible assume that x n → x and x n → y. Let V ∈ Γ be arbitrary. Condition (iii) of uniform spaces implies the existence of some W ∈ Γ such that W ◦ W ⊂ V. From the definition of convergence, ...
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Quasi-Uniformity on BL-algebras
... a uniform space as a generalization of the concept of a metric space in which many non-topological invariant can be ...on uniform preordered ...quasi-uniform spaces and showed that every ...
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Critical Point Theorems for Nonlinear Dynamical Systems and Their Applications
... in uniform spaces and metric spaces by applying an abstract maximal element principle established by Lin and ...metric spaces are also given in Section ...
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On uniform connectedness
... Mrowka and Pervin introduced into the theory of uniform spaces the concept of uniform connectedness: X,[0 is uniformly connected iff every uniformly continuous function on.. As is eviden[r] ...
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