The existence of a fixed point for the sum of two monotone operators |
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Authors: | Yong-Zhuo Chen |
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Affiliation: | (1) Department of Mathematics, University of Pittsburgh at Bradford, Bradford, PA, 16701, UK |
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Abstract: | ![]() Let A and H be two operators defined in an ordered Banach space such that, and , where . This paper discusses the conditions which will guarantee the existence of an asymptotically attractive fixed point for T = A + H. |
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Keywords: | Cone convex metric space fixed point monotone operator ordered Banach space Thompson’ s metric |
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