Some new theorems on \(c\)-distance without continuity in cone metric spaces over Banach algebras
type: Item
instance of: scholarly article
title: Some new theorems on \(c\)-distance without continuity in cone metric spaces over Banach algebras
zbMATH Open document ID: 1476.54068
DOI: 10.1155/2018/7463435
author: Yan Han
author: Shaoyuan Xu
published in: Journal of Function Spaces
publication date: 2018-06-14T00:00:00Z
review text: Summary: The fixed point theorems for one mapping and the common fixed point theorems for two mappings satisfying generalized Lipschitz conditions are obtained, without appealing to continuity for mappings or normality for cone in the conditions. Furthermore, we not only get the existence of the fixed point but also get the uniqueness. These results greatly improve and generalize several well-known comparable results in the literature. Moreover, example is given to support our new results.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
Mathematics Subject Classification ID: 54E50
zbMATH DE Number: 6888530
zbMATH Keywords: complete cone metric space over Banach algebra
zbMATH Keywords: generalized Lipschitz maps
zbMATH Keywords: fixed point theorems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7463435
OpenAlex ID: W2803454483
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description: scientific article; zbMATH DE number 6888530