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Viscosity approximation method for solving variational inequality problem in real Banach spaces
- Source :
- Armenian Journal of Mathematics, Vol 13, Iss 3 (2021)
- Publication Year :
- 2021
- Publisher :
- Republic of Armenia National Academy of Sciences, 2021.
-
Abstract
- In this paper, we study the implicit and inertial-type viscosity approximation method for approximating a solution to the hierarchical variational inequality problem. Under some mild conditions on the parameters, we prove that the sequence generated by the proposed methods converges strongly to a solution of the above-mentioned problem in $q$-uniformly smooth Banach spaces. The results obtained in this paper generalize and improve many recent results in this direction.
- Subjects :
- Sequence
021103 operations research
General Mathematics
010102 general mathematics
0211 other engineering and technologies
Banach space
Lipschitzian Mapping
02 engineering and technology
Nonexpansive Mapping
Fixed point
01 natural sciences
Viscosity (programming)
Fixed Point
Variational inequality
Strongly Accretive Mapping
QA1-939
Applied mathematics
Hierarchical Fixed Point Problems
0101 mathematics
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 18291163
- Volume :
- 13
- Issue :
- 3
- Database :
- OpenAIRE
- Journal :
- Armenian Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....0404937421ff4316727bcc741cf8a177