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Some fixed point theorems of integral type contraction in cone metric spaces. (English) Zbl 1188.54020

Fixed Point Theory Appl. 2010, Article ID 189684, 13 p. (2010); erratum ibid. 2011, Article ID 346059, 2 p. (2011).
Summary: We define a new concept of integral contraction with respect to a cone. Moreover, certain fixed point theorems in those spaces are proved. Finally, an extension of Meir-Keeler fixed point in cone metric space is proved.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
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References:

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