Korean J. Math. Vol. 24 No. 2 (2016) pp.199-213
DOI: https://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

Main Article Content

Iqbal Ahmad
Rais Ahmad
Javid Iqbal

Abstract

The resolvent operator approach of [1] 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.


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