Discussion on a coupled fixed point theorem for single-valued operators in b-metric spaces

作者：Sang, Yanbin^*; Zhao, Dongxia

来源：Journal of Nonlinear Sciences and Applications, 2017, 10(6): 3109-3114.

DOI：10.22436/jnsa.010.06.25

• b-metric space
• contractive condition
• partial order
• coupled fixed point
• mixed monotone operator

In this note, an existence and uniqueness theorem of fixed points for single-valued mappings in partially ordered b-metric spaces is established. As a corollary, the contraction constant for a coupled fixed point theorem obtained in a recent paper is relaxed from [0, 1/s) to [0, 1). Furthermore, a system of integral equation is also discussed.

• 出版日期2017
• 单位中北大学