Nonlinear contractions involving simulation functions in a metric space with a partial order

Calogero Vetro, Bessem Samet, Hajer Argoubi

Risultato della ricerca: Articlepeer review

76 Citazioni (Scopus)

Abstract

Very recently, Khojasteh, Shukla and Radenovic [F. Khojasteh, S. Shukla, S. Radenovic, Filomat, 29 (2015), 1189-1194] introduced the notion of Z-contraction, that is, a nonlinear contraction involving a new class of mappings namely simulation functions. This kind of contractions generalizes the Banach contraction and unifies several known types of nonlinear contractions. In this paper, we consider a pair of nonlinear operators satisfying a nonlinear contraction involving a simulation function in a metric space endowed with a partial order. For this pair of operators, we establish coincidence and common fixed point results. As applications, several related results in fixed point theory in a metric space with a partial order are deduced.
Lingua originaleEnglish
pagine (da-a)1082-1094
Numero di pagine13
RivistaTHE JOURNAL OF NONLINEAR SCIENCES AND ITS APPLICATIONS
Volume8
Stato di pubblicazionePublished - 2015

All Science Journal Classification (ASJC) codes

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