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

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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.

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  1. Instituto de Matemáticas, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaiso, Chile

    Raúl Fierro

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  1. Raúl Fierro
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Fierro, R. Noncompactness Measure and Fixed Points for Multi-Valued Functions on Uniform Spaces. Mediterr. J. Math. 15, 95 (2018). https://doi.org/10.1007/s00009-018-1140-x

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