Nonlinear Functional Analysis and Applications

The Basic Sciences Research Institute, Kyungnam University (경남대학교 기초과학연구소)
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AN ALGORITHM FOR SOLVING RESOLVENT INCLUSION PROBLEM

  • Jong Kyu, Kim (Department of Mathematics Education, Kyungnam University) ;
  • Aadil Hussain, Dar (Department of Mathematics, Aligarh Muslim University) ;
  • Salahuddin, Salahuddin (Department of Mathematics, Jazan University) ;
  • Md. Kalimuddin, Ahmad (Department of Mathematics, Aligarh Muslim University)
  • Received : 2021.05.26
  • Accepted : 2021.12.12
  • Published : 2022.12.06
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Abstract

In this article, we put forward a new type of variational inclusion problem known as resolvent inclusion. An algorithm is given for approximating its solution. The convergence of the algorithm is explained with the help of an example and plots using Matlab.

Keywords

Acknowledgement

The first author was supported by the Basic Science Research Program through the National Research Foundation(NRF) Grant funded by Ministry of Education of Korea (2018R1D1A1B07045427), and the third author was supported by the Department of mathematics, Jazan University, Jazan-45142, KSA.

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