Fixed point theorems for operator in cone Banach spaces

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In this paper a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex subset C of a cone Banach space with the norm , if there exist a, b, c, r and satisfies the conditions and for all , then T has at least one fixed point. MSC: 47H10, 54H25.

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