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Ekeland's variational principle for weighted set relation with set perturbation and application to game theory

Optimization
In this paper, we introduce cancellation laws for weighted set relations, which are a mixture of lower and upper set relations. Applying nonlinear scalarizing techniques for sets, we propose a new type of minimal element theorem and generalized Ekeland's
Yousuke Araya   +2 more
semanticscholar   +1 more source

General maximum principle for optimal control problems of stochastic systems with delay: an Ekeland's variational principle method

International Journal of Control
In this paper, we consider optimal control problems of stochastic systems with delay. The control domains are not necessarily convex and the diffusion coefficients explicitly depend on control variables.
Qi-Xia Zhang
semanticscholar   +1 more source

An induction theorem and Ekeland's variational principle in partial metric spaces with applications

Optimization, 2020
We prove an induction theorem and versions of the Ekeland variational principle for functions on partial metric spaces. As the distance is a partial metric, these versions have additional terms in comparison with the original principle. We also relax the
Le Phuoc Hai, P. Khanh
semanticscholar   +1 more source

Ekeland’s variational principle for a nonlocal p-Kirchhoff type eigenvalue problem

Rendiconti del Circolo Matematico di Palermo Series 2, 2023
E. Azroul, A. Benkirane, M. Srati
semanticscholar   +1 more source

Set Order Relations, Set Optimization, and Ekeland’s Variational Principle

Optimization, Variational Analysis and Applications, 2021
Q. Ansari, P. K. Sharma
semanticscholar   +1 more source

A Set-Valued Ekeland's Variational Principle in Vector Optimization

SIAM Journal of Control and Optimization, 2008
C. Gutiérrez, B. Jiménez, V. Novo
semanticscholar   +1 more source

An Existence Result for Quasi-equilibrium Problems via Ekeland’s Variational Principle

Journal of Optimization Theory and Applications, 2020
J. Cotrina, M. Théra, Javier Zúñiga
semanticscholar   +1 more source

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