A note on some fundamental results in complete gauge spaces and application

Calogero Vetro, Francesca Vetro, Mohamed Jleli, Francesca Vetro, Bessem Samet

Risultato della ricerca: Article

Abstract

We discuss the extension of some fundamental results in nonlinear analysis to the setting of gauge spaces. In particular, we establish Ekeland type and Caristi type results under suitable hypotheses for mappings and cyclic mappings. Our theorems generalize and complement some analogous results in the literature, also in the sense of ordered sets and oriented graphs. We apply our results to establishing the existence of solution to a second order nonlinear initial value problem.
Lingua originaleEnglish
pagine (da-a)1-13
Numero di pagine13
RivistaFixed Point Theory and Applications
Volume2015
Stato di pubblicazionePublished - 2015

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Gages
Gauge
Initial value problems
Nonlinear analysis
Oriented Graph
Ordered Set
Nonlinear Analysis
Initial Value Problem
Nonlinear Problem
Existence of Solutions
Complement
Generalise
Theorem

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Applied Mathematics

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A note on some fundamental results in complete gauge spaces and application. / Vetro, Calogero; Vetro, Francesca; Jleli, Mohamed; Vetro, Francesca; Samet, Bessem.

In: Fixed Point Theory and Applications, Vol. 2015, 2015, pag. 1-13.

Risultato della ricerca: Article

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