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THE ITERATIONS OF STRONGLY QUASI ΓΈ-NONEXPANSIVE MAPPINGS IN BANACH SPACES.
- Source :
- Journal of Mathematical Analysis; 2021, Vol. 12 Issue 3, p23-37, 15p
- Publication Year :
- 2021
-
Abstract
- In this paper, we study the iterations of strongly (asymptotic) quasi ø-nonexpansive mappings in Banach spaces. First, we prove weak convergence of the generated sequence to a common fixed point of an infinite family of strongly asymptotic quasi ø-nonexpansive mappings. Next we prove strong convergence of the generated sequence by an additional assumption. In the sequel, invoke of Halpern regularization method, we prove strong convergence of the generated sequence to a common fixed point of the family of mappings without any extra conditions. Finally, we give some applications of our main results in convex minimization and equilibrium problems and present numerical examples to illustrate and support them. [ABSTRACT FROM AUTHOR]
- Subjects :
- BANACH spaces
NONEXPANSIVE mappings
ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 21173419
- Volume :
- 12
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 151482031