General bivariational inclusions and iterative methods

Document Type : Research Paper


1 COMSATS University Islamabad, Islamabad, Pakistan

2 COMSATS Institute of Information Technology, Islamabad, Pakistan


In this paper, we consider some new classes of general bivariational inclusions. It is shown that the general bivariational inclusions are equivalent to the fixed point problems, resolvent equations and dynamical systems. We have discussed the existence of a solution of the general bivariational inequalities. Some new iterative methods for solving general bivariational inclusions and related optimization problems are suggested by using resolvent methods, resolvent equations and dynamical systems coupled with finite difference technique. Convergence analysis of these methods is investigated under monotonicity. Some special cases are also discussed as applications of the main results.


Volume 14, Issue 1
January 2023
Pages 309-324
  • Receive Date: 08 February 2022
  • Revise Date: 01 July 2022
  • Accept Date: 24 July 2022