LAUSR

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

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1 Published in 2018 at "Mediterranean Journal of Mathematics"

DOI: 10.1007/s00009-018-1140-x

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… read more here.

Keywords: measure fixed; multi valued; noncompactness measure; fixed points ... See more keywords

Completion of pre-quasi-uniform spaces

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0 Published in 2017 at "Topology and its Applications"

DOI: 10.1016/j.topol.2017.02.025

Abstract: Abstract The purpose in this paper is to prove the existence of a canonical-pre-quasi-uniform extension ( X , U ) ˆ of a pre-quasi-uniform space ( X , U ) . Most of the concepts… read more here.

Keywords: completion pre; uniform spaces; quasi uniform; pre quasi ... See more keywords

Ekeland variational principle and its equivalents in T1-quasi-uniform spaces

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1 Published in 2022 at "Optimization"

DOI: 10.1080/02331934.2022.2052288

Abstract: The present paper is concerned with Ekeland Variational Principle (EkVP) and its equivalents (Caristi-Kirk fixed point theorem, Takahashi minimization principle, Oettli-Th\'era equilibrium version of EkVP) in quasi-uniform spaces. These extend some results proved by Hamel,… read more here.

Keywords: ekeland variational; gauge spaces; uniform spaces; quasi uniform ... See more keywords