Some Fixed Point Theorems of Integral Type Contraction in Cone Metric Spaces
نویسندگان
چکیده
In 2007, Huang and Zhang in 1 introduced cone metric space by substituting an ordered Banach space for the real numbers and proved some fixed point theorems in this space. Many authors study this subject and many fixed point theorems are proved; see 2–5 . In this paper, the concept of integral in this space is introduced and a fixed point theorem is proved. In order to do this, we recall some definitions, examples, and lemmas from 1, 4 as follows. Let E be a real Banach space. A subset P of E is called a cone if and only if the following hold:
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