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Volume 4, Issue 3, 1 December 2022, Pages 405-423
Abstract. In this paper, we study the problem of finding a common solution of split equilibrium, variational inclusion, and fixed point problems in real Hilbert spaces. We propose two inertial viscosity algorithms to solve the problem and obtain two strong convergence theorems. The assumption of the upper semi-continuity of the bifunction in the split equilibrium problem is dispensed. We apply our results to the common solution of variational inequality, convex minimization, and fixed point problems. Finally, we give a numerical experiment to illustrate the performance of our algorithms and compare them with existing algorithms.
How to Cite this Article:
A. Taiwo, O.T. Mewomo, Inertial viscosity with alternative regularization for certain optimization and fixed point problems, J. Appl. Numer. Optim. 4 (2022), 405-423.