CONVEX MINIMIZATION OVER THE SPLIT COMMON FIXED POINT PROBLEMS VIA A HYBRID STEEPEST-DESCENT METHOD

  • Arfat, Yasir; 
  • Cho, Yeol je; 
  • Kumam, Poom; 
  • Sitthithakerngkiet, Kanokwan; 
  • Khan, Muhammad aqeel ahmad
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초록

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.

키워드

Convex minimization problem; Hybrid steepest descent method; Split common fixed point problem; Variational inequality; SHRINKING PROJECTION METHOD; SET
제목
CONVEX MINIMIZATION OVER THE SPLIT COMMON FIXED POINT PROBLEMS VIA A HYBRID STEEPEST-DESCENT METHOD
저자
Arfat, Yasir; Cho, Yeol je; Kumam, Poom; Sitthithakerngkiet, Kanokwan; Khan, Muhammad aqeel ahmad
DOI
10.23952/jnfa.2024.33
발행일
2024
유형
Article
저널명
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS
권
2024
호
33
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