The extragradient-Armijo method for pseudomonotone equilibrium problems and strict pseudocontractions

The extragradient-Armijo method for pseudomonotone equilibrium problems and strict pseudocontractions

* Correspondence: [email protected]. vn Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Hanoi, Vietnam Full list of author information is available at the end of the article Abstract In this article, we present a new iteration method for finding a common element of the set of fixed points of p strict pseudocontractions and the set of solutions of equili...

Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert Spaces

Weak convergence of algorithms for asymptotically strict pseudocontractions in the intermediate sense and equilibrium problems

*Correspondence: [email protected] 2Department of Mathematics Education, Kyungnam University, Masan, 631-701, Korea Full list of author information is available at the end of the article Abstract In this paper, equilibrium problems and fixed-point problems based on an iterative method are investigated. It is proved that the sequence generated in the purposed iterative process weakly conve...

Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space

An alternative extragradient projection method for quasi-equilibrium problems

For the quasi-equilibrium problem where the players' costs and their strategies both depend on the rival's decisions, an alternative extragradient projection method for solving it is designed. Different from the classical extragradient projection method whose generated sequence has the contraction property with respect to the solution set, the newly designed method possesses an expansion proper...