A New Class of Monotone Mappings and a New Class of Variational Inclusions in Banach Spaces |
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Authors: | Sayyedeh Zahra Nazemi |
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Institution: | 1. Department of Mathematics, Yasouj University, Yasouj, 75914, Iran
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Abstract: | In this paper, we introduce and study a new class of variational inclusions in Banach spaces. As it concerns the methods of solution, we introduce a new class of monotone mappings. We define a proximal mapping associated with this mappings and show its Lipschitz continuity. By using the technique of proximal mapping, we construct a new iterative algorithm. Under some suitable conditions, we prove the convergence of iterative sequences generated by the algorithm. Our results improve and generalize many known results. |
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