Search results for "Ekeland's variational principle"

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On Ekeland's variational principle in partial metric spaces

2015

In this paper, lower semi-continuous functions are used to extend Ekeland's variational principle to the class of parti al metric spaces. As consequences of our results, we obtain some fixed p oint theorems of Caristi and Clarke types.

Numerical AnalysisPure mathematicsClass (set theory)Applied MathematicsMathematical analysisFixed-point theoremEkeland's variational principleComputer Science ApplicationsMetric spaceComputational Theory and MathematicsVariational principleSettore MAT/05 - Analisi MatematicaEkeland's principle fixed point theory lower-semi continuity partial metric space.AnalysisMathematics
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From Caristi’s Theorem to Ekeland’s Variational Principle in ${0}_{\sigma }$ -Complete Metric-Like Spaces

2014

We discuss the extension of some fundamental results in nonlinear analysis to the setting of ${0}_{\sigma }$ -complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.

fixed pointmetric-like spaceEkeland's variational principleCaristi's mappingSettore MAT/03 - Geometria
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