Common fixed point theorems for generalized k-ordered contractions and B-contractions on noncommutative Banach spaces

Qiaoling Xin; Lining Jiang

doi:10.1186/s13663-015-0327-0

Common fixed point theorems for generalized k-ordered contractions and B-contractions on noncommutative Banach 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

3 Citations (Scopus)

Abstract

The paper introduces the concepts of the generalized k-ordered contraction and the k-ordered B-contraction in noncommutative Banach spaces. Then some common fixed point theorems are given. As an application, the existence and uniqueness theorem for a common solution of integral equations is presented.

Original language	English
Article number	77
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13663-015-0327-0
Publication status	Published - 6 Dec 2015

Keywords

common fixed point
generalized k-ordered contraction
k-ordered B-contraction
noncommutative Banach space

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10.1186/s13663-015-0327-0

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abstract = "The paper introduces the concepts of the generalized k-ordered contraction and the k-ordered B-contraction in noncommutative Banach spaces. Then some common fixed point theorems are given. As an application, the existence and uniqueness theorem for a common solution of integral equations is presented.",

keywords = "common fixed point, generalized k-ordered contraction, k-ordered B-contraction, noncommutative Banach space",

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Common fixed point theorems for generalized k-ordered contractions and B-contractions on noncommutative Banach spaces

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