A two-step proximal point algorithm for nonconvex equilibrium problems with applications to fractional programming

DOI10.1007/s10898-024-01419-8MaRDI QIDQ6631572

Felipe Lara, Le Hai Yen, Alfredo N. Iusem, Raul T. Marcavillaca

Publication date: 1 November 2024

Published in: Journal of Global Optimization (Search for Journal in Brave)

zbMATH Keywords

generalized convexitynonconvex optimizationfractional programmingequilibrium problemsproximal point methods

Mathematics Subject Classification ID

Mathematical programming (90Cxx)

Cites Work

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• Semicoercive variational inequalities: from existence to numerical solution of nonmonotone contact problems
• Application of the proximal point method to nonmonotone equilibrium problems
• Handbook of generalized convexity and generalized monotonicity
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Generalized convexity and optimization. Theory and applications
• On certain conditions for the existence of solutions of equilibrium problems
• General existence theorems for unilateral problems in continuum mechanics
• A solvability theorem for a class of quasiconvex mappings with applications to optimization
• A note on strongly convex and quasiconvex functions
• Optimality conditions for vector equilibrium problems with applications
• Nonlinear programming techniques for equilibria
• Extragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems
• Viscosity approximation methods for fixed-points problems
• A note on: ``Existence results for noncoercive mixed variational inequalities in finite dimensional spaces
• Solving mixed variational inequalities beyond convexity
• Strong subdifferentials: theory and applications in nonconvex optimization
• On strongly quasiconvex functions: existence results and proximal point algorithms
• Proximal point algorithms for quasiconvex pseudomonotone equilibrium problems
• Golden ratio algorithms for variational inequalities
• Solving a class of constrained `black-box' inverse variational inequalities
• Existence results for noncoercive mixed variational inequalities in finite dimensional spaces
• The existence results and Tikhonov regularization method for generalized mixed variational inequalities in Banach spaces
• A family of extragradient methods for solving equilibrium problems
• On nonconvex pseudomonotone equilibrium problems with applications
• Existence theorems for generalized noncoercive equilibrium problems: The quasi-convex case
• Generalized Linear-Quadratic Problems of Deterministic and Stochastic Optimal Control in Discrete Time
• Stability property of a class of variational inequalities
• Variational Analysis in Sobolev andBVSpaces
• Monotone Operators and the Proximal Point Algorithm
• A New Projection Method for Variational Inequality Problems
• The iterative methods for monotone generalized variational inequalities
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Functions Which Are Quasiconvex under Linear Perturbations
• Quasiconvex optimization problems and asymptotic analysis in Banach spaces
• Extragradient algorithms extended to equilibrium problems¶
• Fractional Programming
• Convex analysis and monotone operator theory in Hilbert spaces

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