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A DESCENT ITERATIVE METHOD WITH PERTURBATION TO SOLVE THE COMMON FIXED POINT PROBLEMS OF A FAMILY OF NONEXPANSIVE OPERATORS AND SPLIT EQUILIBRIUM PROBLEMS
- Authors
- Cho, Sun young
- Issue Date
- Apr-2023
- Publisher
- Yokohama Publishers
- Keywords
- Common fixed point; descent iterative method; equilibrium problem; strong convergence
- Citation
- Journal of Nonlinear and Convex Analysis, v.24, no.4, pp 837 - 847
- Pages
- 11
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Nonlinear and Convex Analysis
- Volume
- 24
- Number
- 4
- Start Page
- 837
- End Page
- 847
- ISSN
- 1345-4773
1880-5221
- Abstract
- A descent iterative method with perturbation is introduced for solv-ing the common fixed point problems of an infinite family of nonexpansive oper-ators and split equilibrium problems with two bifunctions and a bounded linear operators. A strong convergence of the descent iterative method is obtained under some conditions in Hilbert spaces.
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