TY - JOUR
T1 - Fixed-point theorems for mappings satisfying the ordered contractive condition on noncommutative spaces
AU - Xin, Qiaoling
AU - Jiang, Lining
PY - 2014/2
Y1 - 2014/2
N2 - 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.
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 - http://www.scopus.com/inward/record.url?scp=84899893943&partnerID=8YFLogxK
U2 - 10.1186/1687-1812-2014-30
DO - 10.1186/1687-1812-2014-30
M3 - Article
AN - SCOPUS:84899893943
SN - 1687-1820
VL - 2014
JO - Fixed Point Theory and Algorithms for Sciences and Engineering
JF - Fixed Point Theory and Algorithms for Sciences and Engineering
M1 - 30
ER -