From Caristi's Theorem to Ekeland's Variational Principle in 0[sigma] -Complete Metric-Like Spaces

From Caristi's Theorem to Ekeland's Variational Principle in 0[sigma] -Complete Metric-Like Spaces

We discuss the extension of some fundamental results in nonlinear analysis to the setting of [subscript]0σ[/subscript] -complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.

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Bibliographische Detailangaben
Veröffentlicht in:Abstract and applied analysis 2014-01, Vol.2014
Hauptverfasser: Jleli, Mohamed, Samet, Bessem, Vetro, Calogero, Vetro, Francesca
Format: Artikel
Sprache:eng
Schlagworte:
Dynamical systems
Quotas
Traveling salesman problem
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Beschreibung
Zusammenfassung:We discuss the extension of some fundamental results in nonlinear analysis to the setting of [subscript]0σ[/subscript] -complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/319619