Strong convergence theorem for split variational inclusion problem and finite family of fixed point problems

Document Type : Research Paper

Authors

Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, India

Abstract

The main objective of this paper is to introduce and study a new type of iterative method to approximate a common solution of split variational inclusion problem and a finite family of fixed point problems in real Hilbert spaces. Furthermore, we show that the sequence generated by the proposed iterative method converges strongly to a common solution to these problems. The method and results presented in this paper extend and unify some recent known results in this field. Finally, a numerical example is used to demonstrate the convergence analysis of the sequences generated by the iterative method.

Keywords

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Volume 14, Issue 1
January 2023
Pages 2425-2438
  • Receive Date: 18 November 2021
  • Revise Date: 27 October 2022
  • Accept Date: 27 December 2022