Approximation Results for Equilibrium Problems Involving Strongly Pseudomonotone Bifunction in Real Hilbert Spaces [PDF]
Axioms, 2020 A plethora of applications in non-linear analysis, including minimax problems, mathematical programming, the fixed-point problems, saddle-point problems, penalization and complementary problems, may be framed as a problem of equilibrium.
Wiyada Kumam, Kanikar Muangchoo
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A new splitting algorithm for equilibrium problems and applications [PDF]
, 2022 In this paper, we discuss a new splitting algorithm for solving equilibrium problems arising from Nash-Cournot oligopolistic equilibrium problems in electricity markets with non-convex cost functions.
HAI, Trinh Ngoc, THI THUONG, Ngo
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Energies, 2020 This manuscript aims to incorporate an inertial scheme with Popov’s subgradient extragradient method to solve equilibrium problems that involve two different classes of bifunction.
Habib ur Rehman +4 more
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Parallel extragradient-proximal methods for split equilibrium problems [PDF]
, 2015 In this paper, we introduce two parallel extragradient-proximal methods for solving split equilibrium problems. The algorithms combine the extragradient method, the proximal method and the hybrid (outer approximation) method.
Van Hieu, Dang
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A cutting hyperplane method for solving pseudomonotone non-Lipschitzian equilibrium problems [PDF]
, 2012 We present a new method for solving equilibrium problems, where the underlying function is continuous and satisfies a pseudomonotone assumption. First, we construct an appropriate hyperplane which separates the current iterative point from the solution ...
Jong K Kim, Nguyen D Hien, Pham N Anh
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A General Inertial Projection-Type Algorithm for Solving Equilibrium Problem in Hilbert Spaces with Applications in Fixed-Point Problems [PDF]
, 2020 A plethora of applications from mathematical programming, such as minimax, and mathematical programming, penalization, fixed point to mention a few can be framed as equilibrium problems.
De la Sen Parte, Manuel +3 more
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NEW ASPECTS OF STRONGLY Log-PREINVEX FUNCTIONS [PDF]
, 2021 In this paper, we consider some new classes of log-preinvex functions. Several properties of the log-preinvex functions are studied. We also discuss their relations with convex functions.
Noor, Khilda Inayat +1 more
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New classes of higher order variational-like inequalities [PDF]
, 2023 In this paper, we prove that the optimality conditions of the higher order convex functions are characterized by a class of variational inequalities, which is called the higher order variational inequality.
Noor, Khalida Inayat +1 more
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Existence and solution methods for equilibria [PDF]
, 2012 Equilibrium problems provide a mathematical framework which includes optimization, variational inequalities, fixed-point and saddle point problems, and noncooperative games as particular cases.
Bigi, Giancarlo +3 more
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Twelve monotonicity conditions arising from algorithms for equilibrium problems [PDF]
, 2015 In the last years many solution methods for equilibrium problems (EPs) have been developed. Several different monotonicity conditions have been exploited to prove convergence.
BIGI, GIANCARLO, PASSACANTANDO, MAURO
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