Generalized compatibility in partially ordered metric spaces

Autor:	Hassen Aydi, Manel Jellali
Jazyk:	English<br />French
Rok vydání:	2016
Předmět:	coupled coincidence point generalized compatibility mixed monotone property ordered set complete metric space Mathematics QA1-939
Zdroj:	Surveys in Mathematics and its Applications, Vol 11 (2016), Pp 77-92 (2016)
Druh dokumentu:	article
ISSN:	1843-7265 1842-6298
Popis:	In this paper, we introduce the notion of generalized compatibility of a pair of mappings F,G:X× X→ X, where (X,d) is a partially ordered metric space. We use this concept to prove a coupled coincidence point theorem for nonlinear contractions in partially ordered metric spaces. Our work extends the paper of Choudhury and Kundu [B.S. Choudhury and A. Kundu, A coupled coincidence point result in partially ordered metric spaces for compatible mappings, Nonlinear Anal. 73 (2010) 2524-2531]. Some examples are also given to illustrate the new concepts and the obtained result.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/38ccf8335e944e09ae3c6e8a6d9b0248 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF