Results 61 to 70 of about 332 (162)
We consider nonsmooth vector quasi-variational-like inequalities and nonsmooth vector quasioptimization problems. We utilize the method of scalarization to define nonsmooth quasi-variational-like inequalities by means of Clarke generalized ...
Mohammed Alshahrani
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A relationship between pseudomonotone and monotone mappings
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Maximal pseudomonotonicity of generalized subdifferentials of explicitly quasiconvex functions
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Radu Precup
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Outer approximation algorithms for pseudomonotone equilibrium problems
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Pham Ngoc Anh, Jong Kyu Kim
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Mixed quasi invex equilibrium problems
We introduce a new class of equilibrium problems, known as mixed quasi invex equilibrium (or equilibrium-like) problems. This class of invex equilibrium problems includes equilibrium problems, variational inequalities, and variational-like inequalities ...
Muhammad Aslam Noor
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THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS
We extend the Tikhonov regularisation method widely used in optimisation and variational inequalities to pseudomonotone equilibrium problems. In this case, the Tikhonov regularised sub-problems have a unique solution only in the limit, but any Tikhonov ...
Phạm Gia Hưng, Lê Dũng Mưu
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In this paper, for the generalized weak vector equilibrium problem where the ordering relation is defined via an improvement set, a linear scalarization characterization is established.
ZUO Xin, CHEN Chun-Rong
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Two Classes of Restart Algorithms for Solving Pseudomonotone Nonlinear Equations
In this study, we introduce two efficient derivative-free algorithms enhanced by a restart strategy to solve nonlinear pseudomonotone equations. We demonstrate that the algorithm’s search direction is both descent and bounded, and under the assumptions ...
Jitsupa Deepho +2 more
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Pseudoconvexity, pseudomonotonicity and the generalized Charnes-Cooper transformation
Charnes and Cooper reduce a linear fractional program to a linear program with help of a suitable transformation of variables. We show that this transformation and a certain generalization of it preserve pseudoconvexity of an arbitrary once ...
CAMBINI, ALBERTO +2 more
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Pseudo-monotonicity and degenerate elliptic operators of second order
Extending the theory of pseudo-monotone mappings in weighted Sobolev spaces, we prove some existence results for degenerate or singular elliptic equations generated by the second-order differential operator $$ Au(x)=-mathop{m div}a(x,u,abla u))+a_0(x,u ...
Youssef Akdim, Elhoussine Azroul
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