Results 11 to 20 of about 465 (165)
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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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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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 Variational Principle for Generalized Vector Equilibrium Problems with Equivalences and Applications [PDF]
Journal of Function Spaces and Applications, 2013 The aim of this paper is to introduce Ekeland variational principle with variants for generalized vector equilibrium problems and to establish some existence results of solutions of generalized vector equilibrium problems with compact or noncompact ...
De-ning Qu, Cao-zong Cheng
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General Versions of the Ekeland Variational Principle: Ekeland Points and Stop and Go Dynamics
Journal of Optimization Theory and Applications, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le Phuoc Hai +2 more
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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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On Ekeland’s variational principle [PDF]
Journal of Fixed Point Theory and Applications, 2011 For proper lower semi-continuous functionals bounded below which do not increase upon polarization, an improved version of Ekeland's variational principle can be formulated in Banach spaces, which provides almost symmetric points.
Squassina, Marco, Marco Squassina
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Ekeland Variational Principle and Some of Its Equivalents on a Weighted Graph, Completeness and the OSC Property [PDF]
Axioms, 2023 We prove a version of the Ekeland Variational Principle (EkVP) in a weighted graph G and its equivalence to Caristi fixed point theorem and to the Takahashi minimization principle.
Basit Ali +2 more
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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 ...
Chuang-Liang Zhang, Nan-Jing Huang
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Higher-order error bound for the difference of two functions [PDF]
Journal of Inequalities and Applications, 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.
Hui Huang, Mengxue Xia
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