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

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 prese...

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Bibliographic Details
Published in:Fixed point theory and algorithms for sciences and engineering 2015-06, Vol.2015 (1), p.1-11, Article 77
Main Authors: Xin, Qiaoling, Jiang, Lining
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Banach space
Differential Geometry
Existence theorems
Fixed points (mathematics)
Integral equations
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Theorems
Topology
Uniqueness theorems
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Summary: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.
ISSN:1687-1812
1687-1812
2730-5422
DOI:10.1186/s13663-015-0327-0