Common Fixed Point Theorem for Four Non-Self Mappings in Cone Metric Spaces

نویسندگان

  • Xianjiu Huang
  • Chuanxi Zhu
  • Xi Wen
چکیده

Recently, Huang and Zhang 1 generalized the concept of a metric space, replacing the set of real numbers by ordered Banach space and obtained some fixed point theorems for mappings satisfying different contractive conditions. Subsequently, the study of fixed point theorems in such spaces is followed by some other mathematicians; see 2–8 . The aim of this paper is to prove a common fixed point theorem for four non-self-mappings on cone metric spaces in which the cone need not be normal. This result generalizes the result of Radenović and Rhoades 5 . Consistent with Huang and Zhang 1 , the following definitions and results will be needed in the sequel. Let E be a real Banach space. A subset P of E is called a cone if and only if

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تاریخ انتشار 2010