Strong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive Mappings
نویسندگان
چکیده
منابع مشابه
Strong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive Mappings
We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method. By using these results, we obtain new convergence results for resolvents of maximal monotone operators and hemirelatively nonexpansive mappings in a Ban...
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We introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of hemirelatively nonexpansive mappings and the set of solutions of an equilibrium problem and for finding a common element of the set of zero points of maximal monotone operators and the set of solutions of an equilibrium problem in a Banach space. Using this theorem, we obtain three new resul...
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Let C be a closed convex subset of a real Hilbert space H. Let T be a supper hybrid mapping of C into H, let A be an inverse strongly monotone mapping of C into H and let B be a maximal monotone operator on H such that the domain of B is included in C. In this paper, we introduce two iterative sequences by hybrid methods of finding a point of F (T )∩ (A+B)−10, where F (T ) is the set of fixed p...
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2009
ISSN: 1687-1820,1687-1812
DOI: 10.1155/2009/261932