SOLUTIONS FOR THE ORDERED VARIATIONAL INCLUSION PROBLEMS IN BANACH SPACES

Authors

  • JONG KYU KIM Department of Mathematics Education, Kyungnam University, Changwon, Gyeongnam 51767, Korea
  • - SALAHUDDIN Department of Mathematics, Jazan University, Jazan-45142, Kingdom of Saudi Arabia
  • AADIL HUSSAIN DAR Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Keywords:

Ordered variational inclusion problems, Algorithm, Weak-RRD multivalued mappings, Ordered Banach spaces

Abstract

In this study, we consider the ordered variational inclusion problems in ordered Banach spaces involving the weak RRD-multivalued mappings. By using the technique of relaxed resolvent operators, we suggest an iterative algorithm and prove the existence of solutions of ordered variational inclusion problems. Also, we prove the convergence of the sequences generated by an iterative algorithm.

Additional Files

Published

10/19/2020

Issue

Vol. 11 No. 2 (2020): JNAO

Section

Research Articles

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Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.