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Volume 5, Issue 3, 1 December 2023, Pages 369-388
Abstract. In this paper, we introduce a path for finding a common element of the set of minimizers of a convex function, the set of solutions of a generalized split feasibility problem, and the set of fixed points of a continuous pseudocontractive mapping in Hilbert spaces. Then we establish strong convergence of the path to a common element of these sets, which is a solution to a certain variational inequality. As a direct consequence, we obtain the unique minimum-norm common point of these sets.
How to Cite this Article:
J.S. Jung, Strong convergence of a path for convex minimization, generalized split feasibility, and fixed point problems, Appl. Set-Valued Anal. Optim. 5 (2023), 369-388.