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Generalized Monotone Mapping with an Application for Solving a Variational Inclusion Problem
Journal article   Peer reviewed

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

R. Ahmad, M. Akram and J.-C. Yao
Journal of optimization theory and applications, Vol.157(2), pp.324-346
01/05/2013
DOI: https://doi.org/10.1007/s10957-012-0182-7

Abstract

Applications of Mathematics Article Calculus of Variations and Optimal Control; Optimization Engineering general Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Theory of Computation
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.

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