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Noncompactness Measure and Fixed Points for Multi-Valued Functions on Uniform Spaces

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Some concepts, such as non-compactness measure and condensing operators, defined on metric spaces are extended to uniform spaces. Such extensions allow us to locate, in the context of uniform spaces,… Click to show full abstract

Some concepts, such as non-compactness measure and condensing operators, defined on metric spaces are extended to uniform spaces. Such extensions allow us to locate, in the context of uniform spaces, some classical results existing in nonlinear analysis. Applications of our results are given for multi-valued operators defined on locally convex spaces. The main aim of this work is to unify some well-known results existing in complete metric and vector topological spaces.

Keywords: measure fixed; multi valued; noncompactness measure; fixed points; uniform spaces

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2018

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