Tripled fixed point theorems for monotone mappings in partially ordered metric spaces

Autor:	Marin Borcut
Rok vydání:	2012
Předmět:	Discrete mathematics Metric space Nonlinear system Monotone polygon General Mathematics Fixed-point theorem Uniqueness Fixed point Type (model theory) Coincidence point Mathematics
Zdroj:	Carpathian Journal of Mathematics. 28:215-222
ISSN:	1843-4401 1584-2851
DOI:	10.37193/cjm.2012.02.16
Popis:	In this paper, we introduce the concept of tripled fixed point for nonlinear and monotone mappings in partially ordered complete metric spaces and obtain existence as well as existence and uniqueness theorems for contractive type mappings. Our results generalize and extend recent tripled fixed point theorems established by Berinde and Borcut [Berinde, V., Borcut, M., Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces. Nonlinear Anal. 74 (2011) 4889–4897]. Examples to support our new results are given.
Databáze:	OpenAIRE
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