Results 1 to 10 of about 172 (137)
A generalized form of Ekeland’s variational principle [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper we prove a generalized version of the Ekeland variational principle, which is a common generalization of Zhong variational principle and Borwein Preiss Variational principle.
Farkas Csaba
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Ekeland's Variational Principle for Set-Valued Functions [PDF]
SIAM Journal on Optimization, 2011 The authors extend Ekeland's variational principle to the case of set-valued mappings by using a set of directions and some particular partial orders related to it. Then, as an application they establish some sufficient conditions for the existence of an error bound of a finite system of inequalities of lower semicontinuous functions on a Banach space.
K F Ng
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The Strong Ekeland Variational Principle in Quasi-Pseudometric Spaces
Mathematics, 2023 Roughly speaking, Ekeland’s Variational Principle (EkVP) (J. Math. Anal. Appl. 47 (1974), 324–353) asserts the existence of strict minima of some perturbed versions of lower semicontinuous functions defined on a complete metric space.
Ştefan Cobzaş
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On Ekeland's variational principle for interval-valued functions with applications [PDF]
Fuzzy Sets and Systems, 2022 In this paper, we obtain a version of Ekeland's variational principle for interval-value functions by means of the Dancs-Hegedus-Medvegyev theorem [14]. We also derive two versions of Ekeland's variational principle involving the generalized Hukuhara Gateaux differentiability of interval-valued functions as well as a version of Ekeland's variational ...
Nan-Jing Huang, Chuang-Liang Zhang
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Higher-order error bound for the difference of two functions. [PDF]
J Inequal Appl, 2018 Error bounds play an important role in the research of mathematical programming. Using some techniques of nonsmooth analysis, we establish some results on the existence of higher-order error bounds for difference functions with set constraints.
Huang H, Xia M.
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The strong Ekeland variational principle
Journal of Mathematical Analysis and Applications, 2006 The main purpose of the present paper is to establish an extension of Ekeland's variational principle. The author is mainly concerned with quasiconvex proper and lower semicontinuous functions defined on a reflexive Banach space. In the last part of the paper this result is generalized in the framework of compact metric spaces endowed with a \(\tau ...
Tomonari Suzuki
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Parametric Ekeland's variational principle
Applied Mathematics Letters, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Set-Valued Ekeland's Variational Principle in Vector Optimization
SIAM Journal on Control and Optimization, 2008 This paper deals with Ekeland's variational principle for vector optimization problems. By using a set-valued metric, a set-valued perturbed map, and a cone-boundedness concept based on scalarization, we introduce an original approach to extending the well-known scalar Ekeland's principle to vector-valued maps.
Vicente Novo +2 more
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An Ekeland’s variational principle for set-valued mappings with applications
Journal of Computational and Applied Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S J Li
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Multiplicity of positive solutions for second order quasilinear equations [PDF]
Mathematica Bohemica, 2020 We discuss the existence and multiplicity of positive solutions for a class of second order quasilinear equations. To obtain our results we will use the Ekeland variational principle and the Mountain Pass Theorem.
Dahmane Bouafia +2 more
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