Abstract
The aim of this paper is to consider generalized nonlinear comple mentarity problems on a closed convex cone in Hilbert. spaces. First we present, an equivalence of fixed point and generalized nonlinear complementarity prob lem and then two iterative schemes are introduced that converge to a solution of generalized nonlinear complementarity problem under certain conditions. We obtain convergence results by employing the concept of isotone projection cones on Hilbert spaces. Examples are given to support the newly denned notions and the main results.
| Original language | English |
|---|---|
| Pages (from-to) | 1681-1697 |
| Number of pages | 17 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 16 |
| Issue number | 8 |
| State | Published - 2015 |
Bibliographical note
Publisher Copyright:© 2015.
Keywords
- Fixed points
- Isotone proection cones
- Iterative methods
- Nonlinear complementarity problems
- Set-valued mappings
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics