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http://dx.doi.org/10.11568/kjm.2016.24.2.199

A RESOLVENT APPROACH FOR SOLVING A SET-VALUED VARIATIONAL INCLUSION PROBLEM USING WEAK-RRD SET-VALUED MAPPING  

Ahmad, Iqbal (Department of Mathematics Aligarh Muslim University)
Ahmad, Rais (Department of Mathematics Aligarh Muslim University)
Iqbal, Javid (Department of Mathematical Sciences Baba Ghulam Shah Badshah University)
Publication Information
Korean Journal of Mathematics / v.24, no.2, 2016 , pp. 199-213 More about this Journal
Abstract
The resolvent operator approach of [2] is applied to solve a set-valued variational inclusion problem in ordered Hilbert spaces. The resolvent operator under consideration is called relaxed resolvent operator and we demonstrate some of its properties. To obtain the solution of a set-valued variational inclusion problem, an iterative algorithm is developed and weak-RRD set-valued mapping is used. The problem as well as main result of this paper are more general than many previous problems and results available in the literature.
Keywords
Algorithm; Inclusion; Mapping; Resolvent; Space;
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