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

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

Risultato della ricerca: Articlepeer review

1 Citazioni (Scopus)

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

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Applied Mathematics

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