Graphical metric space: a generalized setting in fixed point theory

Calogero Vetro, Stojan Radenović, Satish Shukla

Risultato della ricerca: Articlepeer review

14 Citazioni (Scopus)

Abstract

Building on recent ideas of Jachymski, we work on the notion of graphical metric space and prove an analogous result for the contraction mapping principle. In particular, the triangular inequality is replaced by a weaker one, which is satisfied by only those points which are situated on some path included in the graphical structure associated with the space. Some consequences, examples and an application to integral equations are presented to confirm the significance and unifying power of obtained generalizations.
Lingua originaleEnglish
pagine (da-a)641-655
Numero di pagine15
RivistaREVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A, MATEMÁTICAS
Volume111
Stato di pubblicazionePublished - 2017

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.2600.2605???
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