Cyclic (Noncyclic) ϕ-condensing operator and its application to a system of differential equations

Calogero Vetro, Moosa Gabeleh, Seithuti Philemon Moshokoa

Risultato della ricerca: Articlepeer review

3 Citazioni (Scopus)

Abstract

We establish a best proximity pair theorem for noncyclic ϕ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic ϕ-condensing operators in Banach spaces to guarantee the existence of best proximity points, and so, an extension of Darbo’s fixed point theorem will be concluded. As an application of our results, we study the existence of a global optimal solution for a system of ordinary differential equations.
Lingua originaleEnglish
pagine (da-a)985-1000
Numero di pagine16
RivistaNONLINEAR ANALYSIS
Volume24
Stato di pubblicazionePublished - 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Fingerprint Entra nei temi di ricerca di 'Cyclic (Noncyclic) ϕ-condensing operator and its application to a system of differential equations'. Insieme formano una fingerprint unica.

Cita questo