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A resolvent approach for solving a set-valued variational inclusion problem using weak-RRD set-valued mapping

Iqbal Ahmad|Rais Ahmad|Javid Iqbal
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2016.06|한국수학논문집 (Korean Journal of Mathematics)|제24권 제2호|pp. 199-213|DOI http://dx.doi.org/10.11568/kjm.2016.24.2.199

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MappingAlgorithmInclusionResolventSpace.
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초록

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.

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.

참고문헌 (19)

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