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- Title
STRONG CONVERGENCE OF A PATH FOR CONVEX MINIMIZATION, GENERALIZED SPLIT FEASIBILITY, AND FIXED POINT PROBLEMS.
- Authors
JONG SOO JUNG
- 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.
- Subjects
STOCHASTIC convergence; FIXED point theory; VARIATIONAL inequalities (Mathematics); HILBERT space; CALCULUS of variations
- Publication
Applied Set-Valued Analysis & Optimization, 2023, Vol 5, Issue 3, p369
- ISSN
2562-7775
- Publication type
Article
- DOI
10.23952/asvao.5.2023.3.04