Common Fixed Points in Ordered Banach Spaces
نویسنده
چکیده
In [1] Dhage, O’Regan and Agarwal introduced the class of weak isotone mappings and the class of countably condensing mappings in an ordered Banach space and they prove some common fixed point theorems for weak isotone mappings. In this paper we introduce the notion of g-weak isotone mappings which allows us to generalize some common fixed point theorems of [1]. We recall the definition of ordered Banach spaces. Let B be a real Banach space with norm ‖ · ‖ and let P be a subset of B. By θ we denote the zero element of B and by IntP the interior of P. The subset P is called a cone if:
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