Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces

Autor:	Vasile Berinde, Marin Borcut
Rok vydání:	2011
Předmět:	Discrete mathematics Nonlinear system Metric space Applied Mathematics Fixed-point theorem Uniqueness Nonlinear contraction Type (model theory) Fixed point Coincidence point Analysis Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 74:4889-4897
ISSN:	0362-546X
DOI:	10.1016/j.na.2011.03.032
Popis:	In this paper, we introduce the concept of tripled fixed point for nonlinear mappings in partially ordered complete metric spaces and obtain existence, and existence and uniqueness theorems for contractive type mappings. Our results generalize and extend recent coupled fixed point theorems established by Gnana Bhaskar and Lakshmikantham [T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (7) (2006) 1379–1393]. Examples to support our new results are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::51159b3e50e3d1cdb3ff147ff2994419 https://doi.org/10.1016/j.na.2011.03.032 Zobrazit plný text záznamu Full Text from ScienceDirect