Fixed point theorems in complete cone metric spaces over Banach algebras
type: Item
instance of: scholarly article
title: Fixed point theorems in complete cone metric spaces over Banach algebras
zbMATH Open document ID: 1470.54051
DOI: 10.1155/2018/9395057
author: Seong-Hoon Cho
published in: Journal of Function Spaces
publication date: 2018-09-06T00:00:00Z
review text: Summary: The notion of C-class functions in Banach algebras is introduced. By using such concept, a new fixed point theorem is established. An example to illustrate main theorem is given. Finally, applications of our main result to cyclic mappings and weak contraction type mappings are given.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 6933365
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9395057
OpenAlex ID: W2886336136
cites work: Cone metric spaces and fixed point theorems of contractive mappings
cites work: Common fixed point theorems for mappings satisfying property (E.A) on cone metric spaces
cites work: Fixed point theorems for multivalued maps in cone metric spaces
cites work: Fixed points of weak contractions in cone metric spaces
cites work: Some notes on the paper ``Cone metric spaces and fixed point theorems of contractive mappings''
cites work: Coincidence and common fixed and periodic point theorems in cone metric spaces
cites work: Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
cites work: Some fixed point results for \(TAC\)-type contractive mappings
cites work: Q4340096
cites work: Fixed points of \((\psi, \varphi )\)-weak contractions on cone metric spaces
cites work: Fixed point and common fixed point results in ordered cone metric spaces
cites work: Cone metric spaces and fixed point theorems in diametrically contractive mappings
cites work: Some fixed point results for (α,β)-(ψ,Φ)-contractive mappings
cites work: The point of coincidence and common fixed point for a pair of mappings in cone metric spaces
cites work: Q4470093
cites work: Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality
Wikidata QID: Q129411085
description: scientific article; zbMATH DE number 6933365