Back to Search
Start Over
Convergence analysis of the proximal point algorithm for pseudo-monotone equilibrium problems.
- Source :
-
Optimization Methods & Software . Dec2015, Vol. 30 Issue 6, p1146-1163. 18p. - Publication Year :
- 2015
-
Abstract
- In this paper, we study the weak and strong convergence of the proximal point algorithm for equilibrium problems of pseudo-monotone type in Hilbert spaces. We prove the weak convergence of the generated sequence to a common solution of two equilibrium problems and some strong convergence results with additional assumptions on pseudo-monotone bifunctions. Then we study a regularization of Halpern-type and prove the strong convergence of the generated sequence to an equilibrium point of two pseudo-monotone bifunctions without any additional assumption on bifunctions. Finally, some examples of pseudo-monotone bifunctions from pseudo-monotone operators and Nash-Cournot oligopolistic equilibrium models are also presented. Our results extend some similar results in the literature for monotone and pseudo-monotone equilibrium problems and also the related results for variational inequalities associated with monotone and pseudo-monotone operators. [ABSTRACT FROM AUTHOR]
- Subjects :
- *STOCHASTIC convergence
*ALGORITHMS
*EQUILIBRIUM
*PROBLEM solving
*HILBERT space
Subjects
Details
- Language :
- English
- ISSN :
- 10556788
- Volume :
- 30
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Optimization Methods & Software
- Publication Type :
- Academic Journal
- Accession number :
- 109908011
- Full Text :
- https://doi.org/10.1080/10556788.2015.1025402