Keyword

equilibrium problems

Description: Mathematical problems seeking states satisfying equilibrium conditions, commonly formulated through variational inequalities, optimization, or fixed-point methods.

Primary topic: Optimization and Variational Analysis (73%)

OpenAlex ID: keywords/equilibrium-problems

Variational Analysis

1998 · R. Tyrrell Rockafellar, Roger J. B. Wets · Grundlehren der mathematischen Wissenschaften · 4,288

From optimization and variational inequalities to equilibrium problems

1994 · E. K. Blum, W. Oettli · Medical Entomology and Zoology · 2,072

Variational methods for the solution of problems of equilibrium and vibrations

1943 · R. Courant · Bulletin of the American Mathematical Society · 1,733

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Inequalities in Banach spaces with applications

1991 · Hong-Kun Xu · Nonlinear Analysis · 1,168

Equilibrium programming in Hilbert spaces

2005 · Patrick L. Combettes, Sever A. Hirstoaga · 930

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

1998 · Jiři Outrata, Michal Kočvara, et al. · Nonconvex optimization and its applications · 599

Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces

2006 · Satoru Takahashi, Wataru Takahashi · Journal of Mathematical Analysis and Applications · 581

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Some developments in general variational inequalities

2003 · Muhammad Aslam Noor · Applied Mathematics and Computation · 540

Combined Relaxation Methods for Variational Inequalities

2001 · Igor Konnov · Lecture notes in economics and mathematical systems · 535

A theory of thermoelastic materials with voids

1986 · D. Ieşan · Acta Mechanica · 488

Equilibrium programming using proximal-like algorithms

1996 · Sjur Didrik Flåm, Anatoly S. Antipin · Mathematical Programming · 449

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Error bounds in mathematical programming

1997 · Jong-Shi Pang · Mathematical Programming · 443

Extragradient algorithms extended to equilibrium problems¶

2008 · D. Quoc Tran, M. Le Dung, et al. · Optimization · 382

Convex Optimization, Game Theory, and Variational Inequality Theory

2010 · Gesualdo Scutari, Daniel Palomar, et al. · IEEE Signal Processing Magazine · 376

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models

2004 · Giannessi, Franco, Maugeri, Antonino, et al. · Kluwer Academic Publishers eBooks · 355

Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces

2008 · Xiaolong Qin, Yeol Je Cho, et al. · Journal of Computational and Applied Mathematics · 341

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Convergence of an adaptive penalty scheme for finding constrained equilibria

1992 · LêD. Muu, W. Oettli · Nonlinear Analysis · 339

Generalized monotone bifunctions and equilibrium problems

1996 · M. Bianchi, S. Schaible · Journal of Optimization Theory and Applications · 337

Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces

2007 · Wataru Takahashi, Kei Zembayashi · Nonlinear Analysis · 328

Weak and Strong Convergence Theorems for a Nonexpansive Mapping and an Equilibrium Problem

2007 · A. Tada, W. Takahashi · Journal of Optimization Theory and Applications · 288

Normal Maps Induced by Linear Transformations

1992 · Stephen M. Robinson · Mathematics of Operations Research · 269

Equilibrium Problems and Variational Models

2003 · Daniele, Patrizia, Giannessi, Franco, et al. · Nonconvex optimization and its applications · 251

A smoothing method for mathematical programs with equilibrium constraints

1999 · Francisco Facchinei, Houyuan Jiang, et al. · Mathematical Programming · 247

A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization

2008 · Shih-sen Chang, H.W. Joseph Lee, et al. · Nonlinear Analysis · 223

Understanding and Implementing the Finite Element Method

2006 · Mark S. Gockenbach · Society for Industrial and Applied Mathematics eBooks · 219

Works count: 2,973

Citation count: 43,770