Results 71 to 80 of about 343 (158)
Ekeland's variational principle and its equivalent theorems in vector optimization
, 2008 We present a simple proof of vectorial Ekeland's variational principle, vectorial Caristi's fixed point theorem and vectorial Takahashi's nonconvex minimization theorem.
Araya, Yousuke, Yousuke Araya
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Existence of equilibria via Ekeland's principle
, 2005 In the literature, when dealing with equilibrium problems and the existence of their solutions, the most used assumptions are the convexity of the domain and the generalized convexity and monotonicity, together with some weak continuity assumptions, of ...
Bianchi, Monica +2 more
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Campbell Systematic Reviews, Volume 20, Issue 1, March 2024.Abstract Background Healthy after‐school activities such as participation in organised sport have been shown to serve as important resources for reducing school failure and other problem/high‐risk behaviour. It remains to be established to what extent organised sport participation has positive impacts on young people in unstable life circumstances ...
Trine Filges +3 more
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Ekeland's variational principle in locally convex spaces and the density of extremal points
, 2009 In this paper, we prove a general version of Ekeland's variational principle in locally convex spaces, where perturbations contain subadditive functions of topology generating seminorms and nonincreasing functions of the objective function. From this, we
Qiu, Jing-Hui
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Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness
Bulletin of the London Mathematical Society, Volume 56, Issue 2, Page 734-755, February 2024.Abstract In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight, −Δpau−Δqu=λm(x)|u|q−2uinRN,$$\begin{equation*} \hspace*{3pc}-\Delta _p^a u-\Delta _q u =\lambda m(x)|u|^{q-2}u \quad \mbox{in} \,\, \mathbb {R}^N, \end{equation*}$$where N⩾2$N \geqslant 2$, 1
Tianxiang Gou, Vicenţiu D. Rădulescu
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Stochastic singular optimal control problem of switching systems with constraints
Journal of Inequalities and Applications, 2016 This paper is devoted to the optimal control problem of switching system in which constraints on the state variable are given by inclusions. Using Ekeland’s variational principle, second-order necessary condition of optimality for stochastic switching ...
Charkaz Aghayeva
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Fixed point theorems in metric spaces and probabilistic metric spaces
International Journal of Mathematics and Mathematical Sciences, 1996 In this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to ...
Yeol Je Cho +2 more
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Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we consider the multiplicity of solutions for a class of Kirchhoff type problems with concave and convex nonlinearities on an unbounded domain.
Xiaofei Cao, Junxiang Xu
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Some new results on stability of Ekeland's ϵ-variational principle
, 2008 In this paper, we give an example and point out that ϵ-solutions of Ekeland's variational principle are not always lower semicontinuous in infinite-dimensional Banach spaces, even with respect to the uniform metric.
Wang, Changchun +2 more
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Uniqueness of optimal policies as a generic property of discounted Markov decision processes: Ekeland's variational principle approach [PDF]
, 2016 summary:Many examples in optimization, ranging from Linear Programming to Markov Decision Processes (MDPs), present more than one optimal solution. The study of this non-uniqueness is of great mathematical interest. In this paper the authors show that in
Lemus-Rodríguez, Enrique +5 more
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