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CONVEX MINIMIZATION OVER THE SPLIT COMMON FIXED POINT PROBLEMS VIA A HYBRID STEEPEST-DESCENT METHOD
- Authors
- Arfat, Yasir; Cho, Yeol je; Kumam, Poom; Sitthithakerngkiet, Kanokwan; Khan, Muhammad aqeel ahmad
- Issue Date
- 2024
- Publisher
- MATHEMATICAL RESEARCH PRESS-MATH RES
- Keywords
- Convex minimization problem; Hybrid steepest descent method; Split common fixed point problem; Variational inequality
- Citation
- JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, v.2024
- Indexed
- SCOPUS
ESCI
- Journal Title
- JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS
- Volume
- 2024
- ISSN
- 2052-532X
2052-532X
- Abstract
- In this paper, we revisit the hybrid steepest-descent method for a convex minimization problem over the solution set of a split common fixed point problem. We develop this framework for the finite families of demimetric mappings in Hilbert spaces and validate the hybrid steepest-descent method via appropriate numerical examples.
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