Generalized Monotone Mapping with an Application for Solving a Variational Inclusion Problem

R. Ahmad (), M. Akram and J.-C. Yao
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R. Ahmad: Aligarh Muslim University
M. Akram: Aligarh Muslim University
J.-C. Yao: Kaohsiung Medical University

Journal of Optimization Theory and Applications, 2013, vol. 157, issue 2, No 2, 324-346

Abstract: Abstract The aim of this paper is to define a generalized monotone mapping, which is the sum of symmetric cocoercive mapping and symmetric monotone mapping. The resolvent operator associated with generalized monotone mapping is defined and some of its properties are shown. We solve a variational inclusion problem using these new concepts. For illustration, some examples are given.

Keywords: Generalized monotone mapping; Algorithm; Resolvent operator; Variational inclusion; Cocoercive (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0182-7

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