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.
Noor,M Aslam and Noor,K Inayat. (2023). General bivariational inclusions and iterative methods. International Journal of Nonlinear Analysis and Applications, 14(1), 309-324. doi: 10.22075/ijnaa.2022.26239.3271
MLA
Noor,M Aslam, and Noor,K Inayat. "General bivariational inclusions and iterative methods", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 309-324. doi: 10.22075/ijnaa.2022.26239.3271
HARVARD
Noor M Aslam, Noor K Inayat. (2023). 'General bivariational inclusions and iterative methods', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 309-324. doi: 10.22075/ijnaa.2022.26239.3271
CHICAGO
M Aslam Noor and K Inayat Noor, "General bivariational inclusions and iterative methods," International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 309-324, doi: 10.22075/ijnaa.2022.26239.3271
VANCOUVER
Noor M Aslam, Noor K Inayat. General bivariational inclusions and iterative methods. IJNAA. 2023;14(1):309-324. doi: 10.22075/ijnaa.2022.26239.3271
International Journal of Nonlinear Analysis and Applications