Inertial KM-type extragradient scheme for solving a variational inequality and a hierarchical fixed point problems

Journal of inequalities and applications

K. R. Kazmi¹  Ghada AlNemer²  Rehan Ali³ 

[1] Deparment of Mathematics, Faculty of Science and Arts-Rabigh, King Abdulaziz University, P.O. Box 344, 21911, Rabigh, Saudi Arabia;Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India;Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 105862, 11656, Riyadh, Saudi Arabia;Department of Mathematics, Jamia Millia Islamia, 110025, New Delhi, India;

关键词: Hierarchical fixed point problem;    Variational inequality;    Inertial KM-type scheme;    Nonexpansive mapping;    47H10;    49J35;    90C47;   

DOI  :  10.1186/s13660-021-02565-3

来源: Springer

【 摘 要 】

We propose an inertial KM-type extragradient scheme to approximate a common solution of a variational inequality problem and a hierarchical fixed point problem for nonexpansive mappings. This scheme generalizes and unifies a number of known iterative schemes. Furthermore, we discuss the weak convergence for the proposed scheme. We also discuss an example to illustrate the main theorem.

【 授权许可】

CC BY