Proximal Point Algorithms for Quasiconvex Pseudomonotone Equilibrium Problems

We propose a proximal point method for quasiconvex pseudomonotone equilibrium problems. The subproblems of the method are optimization problems whose objective is the sum of a strongly quasiconvex function plus the standard quadratic regularization term for optimization problems. We prove, under sui...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 193; no. 1-3; pp. 443 - 461
Main Authors:	Iusem, A., Lara, F.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2022 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Convergence Convexity Engineering Equilibrium Equilibrium methods Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Regularization Theory of Computation Quasiconvexity Strong quasiconvexity Pseudomonotonicity Proximal point algorithms Equilibrium problems
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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