Fixed-point theorems for mappings satisfying the ordered contractive condition on noncommutative spaces

Qiaoling Xin; Lining Jiang

doi:10.1186/1687-1812-2014-30

Fixed-point theorems for mappings satisfying the ordered contractive condition on noncommutative spaces

Qiaoling Xin
, Lining Jiang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In the paper, we introduce noncommutative Banach spaces which generalize the concept of Banach spaces, and the k-ordered contractive condition; we then discuss an ordered structure and several properties on noncommutative Banach spaces. Moreover, some fixed-point theorems for mappings with the k-ordered contractive condition on noncommutative Banach spaces are presented. In addition, we investigate the existence and uniqueness of fixed points for an integral equation of Fredholm type.

Original language	English
Article number	30
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2014
DOIs	https://doi.org/10.1186/1687-1812-2014-30
Publication status	Published - Feb 2014

Keywords

Fixed-point theorem
Noncommutative Banach space
Ordered contractive condition

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10.1186/1687-1812-2014-30

Cite this

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abstract = "In the paper, we introduce noncommutative Banach spaces which generalize the concept of Banach spaces, and the k-ordered contractive condition; we then discuss an ordered structure and several properties on noncommutative Banach spaces. Moreover, some fixed-point theorems for mappings with the k-ordered contractive condition on noncommutative Banach spaces are presented. In addition, we investigate the existence and uniqueness of fixed points for an integral equation of Fredholm type.",

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AB - In the paper, we introduce noncommutative Banach spaces which generalize the concept of Banach spaces, and the k-ordered contractive condition; we then discuss an ordered structure and several properties on noncommutative Banach spaces. Moreover, some fixed-point theorems for mappings with the k-ordered contractive condition on noncommutative Banach spaces are presented. In addition, we investigate the existence and uniqueness of fixed points for an integral equation of Fredholm type.

KW - Fixed-point theorem

KW - Noncommutative Banach space

KW - Ordered contractive condition

UR - https://www.scopus.com/pages/publications/84899893943

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M3 - Article

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ER -

Fixed-point theorems for mappings satisfying the ordered contractive condition on noncommutative spaces

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Keywords

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