Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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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)
  • Received : 2016.04.05
  • Accepted : 2016.05.17
  • Published : 2016.06.30
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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.

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References

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