Some results on coincidence and fixed point theorems for generalized contraction type mappings
type: Item
instance of: scholarly article
title: Some results on coincidence and fixed point theorems for generalized contraction type mappings
zbMATH Open document ID: 1022.47035
DOI: 10.1155/S0161171201005567
author: R. Smith
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-10-27T00:00:00Z
full work available at URL: https://eudml.org/doc/50361
review text: The paper contains a collection of coincidence as well as common fixed point theorems for single-valued compatible mappings satisfying a certain generalized contraction type condition. In the second part, the authors deal with coincidence points for multivalued mappings with values in the class of closed bounded subsets of a given Banach space. In contrast to \textit{H. Kaneko} and \textit{S. Sessa} [Int. J. Math. Math. Sci., 12, 257-262 (1989; Zbl 0671.54023), Theorem 2], the continuity of the involved maps is not assumed. This fact is illustrated by a suitable example.
reviewed by: Dariusz Bugajewski
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 1751286
zbMATH Keywords: coincidence point theorems
zbMATH Keywords: single-valued mappings
zbMATH Keywords: coincidence points
zbMATH Keywords: multivalued mappings
MaRDI profile type: Publication
OpenAlex ID: W2165847632
description: scientific article; zbMATH DE number 1751286