4.5 Article

Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities

Jun Yang

Summary: This paper introduces an inertial algorithm for solving classical variational inequalities in real Hilbert space with Lipschitz continuous and pseudomonotone mapping. The algorithm, inspired by subgradient extragradient method and inertial method, utilizes a new step size. Convergence is established without knowledge of the Lipschitz constant of the mapping, and numerical experiments demonstrate the efficiency and advantage of the proposed algorithm.

APPLICABLE ANALYSIS (2021)

Article Computer Science, Software Engineering

Modified Popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems

Habib Rehman et al.

Summary: This paper introduces two algorithms for solving pseudomonotone equilibrium problems, emphasizing their advantages of not requiring line search procedures or knowledge of bifunction Lipschitz-type constants for step-size evaluation, and verifies their effectiveness through numerical experiments.

OPTIMIZATION METHODS & SOFTWARE (2021)

Article Operations Research & Management Science

Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems

Duong Viet Thong et al.

OPTIMIZATION LETTERS (2020)

Article Mathematics, Applied

The extragradient algorithm with inertial effects extended to equilibrium problems

Habib Ur Rehman et al.

COMPUTATIONAL & APPLIED MATHEMATICS (2020)

Article Multidisciplinary Sciences

The Inertial Sub-Gradient Extra-Gradient Method for a Class of Pseudo-Monotone Equilibrium Problems

Habib ur Rehman et al.

SYMMETRY-BASEL (2020)

Article Mathematics, Applied

Weak convergence of explicit extragradient algorithms for solving equilibirum problems

Habib Ur Rehman et al.

JOURNAL OF INEQUALITIES AND APPLICATIONS (2019)

Article Mathematics

Inertial Extragradient Algorithms for Solving Equilibrium Problems

Nguyen The Vinh et al.

ACTA MATHEMATICA VIETNAMICA (2019)

Article Operations Research & Management Science

Inertial projection and contraction algorithms for variational inequalities

Q. L. Dong et al.

JOURNAL OF GLOBAL OPTIMIZATION (2018)

Article Mathematics, Applied

Convergence analysis of a new algorithm for strongly pseudomontone equilibrium problems

Dang Van Hieu

NUMERICAL ALGORITHMS (2018)

Article Mathematics, Applied

Modified subgradient extragradient method for variational inequality problems

Duong Viet Thong et al.

NUMERICAL ALGORITHMS (2018)

Article Operations Research & Management Science

Modified extragradient algorithms for solving equilibrium problems

Dang Van Hieu et al.

OPTIMIZATION (2018)

Article Mathematics, Applied

New extragradient method for a class of equilibrium problems in Hilbert spaces

Dang Van Hieu

APPLICABLE ANALYSIS (2018)

Article Operations Research & Management Science

Modified hybrid projection methods for finding common solutions to variational inequality problems

Dang Van Hieu et al.

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS (2017)

Article Mathematics

Halpern subgradient extragradient method extended to equilibrium problems

Dang Van Hieu

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS (2017)

Article Mathematics

Parallel Extragradient-Proximal Methods for Split Equilibrium Problems

Dang Van Hieu

MATHEMATICAL MODELLING AND ANALYSIS (2016)

Article Operations Research & Management Science

The extragradient algorithm with inertial effects for solving the variational inequality

Qiao-Li Dong et al.

OPTIMIZATION (2016)

Article Operations Research & Management Science

Dual extragradient algorithms extended to equilibrium problems

Tran D. Quoc et al.

JOURNAL OF GLOBAL OPTIMIZATION (2012)

Article Computer Science, Artificial Intelligence

A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

Amir Beck et al.

SIAM JOURNAL ON IMAGING SCIENCES (2009)

Article Operations Research & Management Science

Extragradient algorithms extended to equilibrium problems

D. Quoc Tran et al.

OPTIMIZATION (2008)

Article Mathematics, Applied

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

Satoru Takahashi et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2007)

Article Mathematics, Applied

Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in real Banach space

E. U. Ofoedu

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2006)

Article Operations Research & Management Science

Iterative algorithms for equilibrium problems

AN Iusem et al.

OPTIMIZATION (2003)

Article Operations Research & Management Science

Application of the proximal point method to nonmonotone equilibrium problems

IV Konnov

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2003)