Characterizations of $alpha$-well-posedness for parametric quasivariational inequalities defined by bifunctions [PDF]
, 2010 The purpose of this paper is to investigate the well-posedness issue of parametric quasivariational inequalities defined by bifunctions. We generalize the concept of $alpha$-well-posedness to parametric quasivariational inequalities having a unique ...
Nan-Jing Huang, Rong Hu, Ya-Ping Fang
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Existence results and optimal control for a class of quasi mixed equilibrium problems involving the (f, g, h)-quasimonotonicity [PDF]
, 2019 In this paper, by introducing a new concept of the (f, g, h)-quasimonotonicity and applying the maximal monotonicity of bifunctions and KKM technique, we show the existence results of solutions for quasi mixed equilibrium problems when the constraint set
Liu, Zhenhai +2 more
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A critical view on invexity [PDF]
, 2012 The aim of this note is to emphasize the fact that in many papers on invexity published in prestigious journals there are not clear definitions, trivial or not clear statements and wrong proofs.
Zalinescu, Constantin
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Strong convergence of a new hybrid algorithm for fixed point problems and equilibrium problems [PDF]
, 2019 The paper considers the problem of finding a common solution of a pseudomonotone and Lipschitz-type equilibrium problem and a fixed point problem for a quasi nonexpansive mapping in a Hilbert space.
Dang Van Hieu
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SOME PROPERTIES OF EXPONENTIALLY PREINVEX FUNCTIONS [PDF]
, 2019 In this paper, we introduce some new concepts of the exponentially preinvex functions. We investigate several properties of the exponentially preinvex functions and discuss their relations with convex functions. Optimality conditions are characterized by
Noor, Khalida Inayat +1 more
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, 2023 In this paper we study the pseudomonotone equilibrium problem. We consider a new inertial condition for the subgradient extragradient method with self-adaptive step size for approximating a solution of the equilibrium problem in a real Hilbert space. Our
Izuchukwu, Chinedu +2 more
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Hybrid Proximal Methods for Equilibrium Problems [PDF]
, 2009 This paper concerns developing two hybrid proximal point methods (PPMs) for finding a common solution of some optimization-related problems. First we construct an algorithm to solve simultaneously an equilibrium problem and a variational inequality ...
Mordukhovich, Boris S +3 more
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On Projected Solutions for Quasi Equilibrium Problems with Non-self Constraint Map
, 2023 In a normed space setting, this paper studies the conditions under which the projected solutions to a quasi equilibrium problem with non-self constraint map exist.
Bianchi, Monica +2 more
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A NEW SOLUTION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS [PDF]
, 2020 We propose a new method for solving an equilibrium problem where the bifunction is pseudomonotone with respect to its solution set. This method can be considered as an extension of the one introduced by Solodov and Svaiter in [28] from variational ...
Bui Van Dinh, Hieu, Nguyen Duc
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Modified mildly inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and nonexpansive fixed point problems [PDF]
This paper presents and examines a newly improved linear technique for solving the equilibrium problem of a pseudomonotone operator and the fixed point problem of a nonexpansive mapping within a real Hilbert space framework.
Akindele Adebayo Mebawondu +5 more
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