A New Class of Monotone Mappings and a New Class of Variational Inclusions in Banach Spaces

Sayyedeh Zahra Nazemi ()
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Sayyedeh Zahra Nazemi: Yasouj University

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 3, No 3, 785-795

Abstract: 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.

Keywords: C n -monotone mappings; Proximal mapping; Iterative algorithm; Variational inclusion (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0096-4

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