Common fixed points for nonlinear quasi-contractions of Ćirić type
type: Item
instance of: scholarly article
title: Common fixed points for nonlinear quasi-contractions of Ćirić type
zbMATH Open document ID: 1469.54109
DOI: 10.1155/2014/450792
author: Fei He
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We establish common fixed points theorems for two self-mappings satisfying a nonlinear contractive condition of Ćirić type with a \(Q\)-function. Furthermore, using the scalarization method, we deduce some results of common fixed point in tvs-cone metric spaces with a \(c\)-distance. As application, we give a positive answer to the question of \textit{L. Ćirić} et al. [Fixed Point Theory Appl. 2012, Paper No. 3, 9 p. (2012; Zbl 1282.54039)]. Our results extend and generalize many recent results.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 7022399
Wikidata QID: Q59038288
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/450792
OpenAlex ID: W2078625476
cites work: Q4359066
cites work: Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory
cites work: Fixed point theorems related to Ćirić's contraction principle
cites work: Common fixed points for maps on metric space with \(w\)-distance
cites work: Nonlinear quasi-contractions of Ćirić type
cites work: A note on cone metric fixed point theory and its equivalence
cites work: \(K\)-metric and \(K\)-normed linear spaces: Survey
cites work: Cone metric spaces and fixed point theorems of contractive mappings
cites work: On cone metric spaces: a survey
cites work: Fixed point theory in cone metric spaces obtained via the scalarization method
cites work: A note on the equivalence of some metric and cone metric fixed point results
cites work: Q3059805
cites work: Common fixed point theorems on generalized distance in ordered cone metric spaces
cites work: Fixed point theorems for w-cone distance contraction mappings in tvs-cone metric spaces
cites work: Fixed point results under c-distance in tvs-cone metric spaces
cites work: Fixed point theorems of single-valued mapping for \(c\)-distance in cone metric spaces
cites work: Variational methods in partially ordered spaces
cites work: Q5462176
cites work: On some nonlinear problems induced by an abstract maximal element principle
cites work: On the vectorial Ekeland's variational principle and minimal points in product spaces
description: scientific article; zbMATH DE number 7022399