On fixed point approach to equilibrium problem
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-021-00890-0
Abstract: The equilibrium problem defined by the Nikaidô-Isoda-Fan inequality contains a number of problems such as optimization, variational inequality, Kakutani fixed point, Nash equilibria, and others as special cases. This paper presents a picture for the… read more here.
Keywords: point approach; fixed point; equilibrium problem;
Generalized -D-gap functions and error bounds for a class of equilibrium problems
Sign Up to like & getrecommendations! Published in 2017 at "Applicable Analysis"
DOI: 10.1080/00036811.2017.1336547
Abstract: Abstract In this paper, we introduce and study the generalized -D-gap function for an equilibrium problem. We give sufficient conditions under which a critical point of the generalized -D-gap function is a solution of the… read more here.
Keywords: gap function; equilibrium problem; equilibrium; generalized gap ... See more keywords
New subgradient extragradient methods for solving monotone bilevel equilibrium problems
Sign Up to like & getrecommendations! Published in 2019 at "Optimization"
DOI: 10.1080/02331934.2019.1656204
Abstract: ABSTRACT In this paper, we propose new subgradient extragradient methods for finding a solution of a strongly monotone equilibrium problem over the solution set of another monotone equilibrium problem which usually is called monotone bilevel… read more here.
Keywords: equilibrium problem; monotone; equilibrium; subgradient extragradient ... See more keywords
Computing a Strategic Decarbonization Pathway: A Chance-Constrained Equilibrium Problem
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Power Systems"
DOI: 10.1109/tpwrs.2020.3038840
Abstract: US transmission systems and wholesale electricity markets, albeit federally regulated, often span across multiple state jurisdictions. In this environment, state regulators can strategically exploit this techno-economic coupling to advance their clean energy policy goals at… read more here.
Keywords: constrained equilibrium; equilibrium problem; state; equilibrium ... See more keywords
Equivalence of a Scalar and a Vector Equilibrium Problem for a Pair of Functions Forming a Nikishin System
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Notes"
DOI: 10.1134/s0001434619110336
Abstract: We prove the equivalence of a vector and a scalar equilibrium problem that naturally arise when studying the limit distribution of zeros of type I Hermite–Padé polynomials for a pair of functions forming a Nikishin… read more here.
Keywords: forming nikishin; pair functions; functions forming; equilibrium problem ... See more keywords
Abstract generalized vector quasi-equilibrium problems in noncompact Hadamard manifolds
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1375-2
Abstract: This paper deals with the abstract generalized vector quasi-equilibrium problem in noncompact Hadamard manifolds. We prove the existence of solutions to the abstract generalized vector quasi-equilibrium problem under suitable conditions and provide applications to an… read more here.
Keywords: equilibrium problem; equilibrium; quasi equilibrium; vector quasi ... See more keywords
An extragradient algorithm for split generalized equilibrium problem and the set of fixed points of quasi-φ-nonexpansive mappings in Banach spaces
Sign Up to like & getrecommendations! Published in 2020 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1911-83
Abstract: In this paper, we study the problem of finding a common solution to split generalized mixed equilibrium problem and fixed point problem for quasi-$% \phi $-nonexpansive mappings in 2-uniformly convex and uniformly smooth Banach space… read more here.
Keywords: split generalized; equilibrium problem; nonexpansive mappings; banach ... See more keywords