Abstract
In this chapter, several iterative methods for solving fixed point problems, variational inequalities, and zeros of monotone operators are presented.Ageneralized mixed equilibrium problem is considered. The hierarchical minimization problem over the set of intersection of fixed points of a mapping and the set of solutions of a generalized mixed equilibrium problem is considered. A new unified hybrid steepest descent-like iterative algorithm for finding a common solution of a generalized mixed equilibrium problem and a common fixed point problem of uncountable family of nonexpansive mappings is presented and analyzed.
| Original language | English |
|---|---|
| Title of host publication | Nonlinear Analysis |
| Subtitle of host publication | Approximation Theory, Optimization and Applications |
| Publisher | Springer India |
| Pages | 199-229 |
| Number of pages | 31 |
| ISBN (Electronic) | 9788132218838 |
| ISBN (Print) | 9788132218821 |
| DOIs | |
| State | Published - 1 Jan 2014 |
Bibliographical note
Publisher Copyright:© Springer India 2014.
Keywords
- Demiclosed principle
- Fixed point problems
- Generalized mixed equilibrium problems
- Hierarchical minimization problem
- Hybrid steepest descent-like iterative method
- Monotone operators
- Nonexpansive mappings
- Projection gradient method
- Resolvent operators
- Variational inequalities
ASJC Scopus subject areas
- General Mathematics
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