Results 31 to 40 of about 76 (76)

Ekeland variational principle on weighted graphs

Proceedings of the American Mathematical Society, 2019
In this work, we give a graphical version of the Ekeland variational principle which enables us to discover a new version of the Caristi fixed point theorem in weighted digraphs not necessarily generated by a partial order. Then we show that both graphical versions of the Ekeland variational principle and Caristi’s fixed point theorem are equivalent ...
Monther Alfuraidan, Mohamed Khamsi
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A generalized form of Ekeland’s variational principle [PDF]

Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2012
Abstract 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. Therefore in a particular case, from this variational principle we get a Zhong type variational principle, and a Borwein-Preiss variational principle ...
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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 ...
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A generalization of the Ekeland variational principle

, 2020
In this short communication, we present a generalization of the Ekeland variational principle. The main result is established through standard tools of functional analysis and calculus of variations. The novelty here is a result involving the second Gâteaux variation of the functional in question.
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One remark to Ekeland's variational principle

Computers & Mathematics with Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arutyunov, A., Bobylev, N., Korovin, S.
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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.
César Gutiérrez, Bienvenido Jiménez, Vicente Novo   +2 more
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Ekeland's principle and nuclear cones: A geometrical aspect

Mathematical and Computer Modelling, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Remarks on Multivalued Variants of Ekeland Principle with Applications

Symmetry
This review provides an extended discussion on multivalued variants of Ekeland’s variational principle, with the aim of highlighting the importance of this special type of result. After a presentation of the background containing general problems which appear in relation to this extended and current subject, three series of results are developed to ...
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The discrete Brezis-Ekeland principle

Journal of Convex Analysis, 2009
Summary: We discuss a global-in-time variational approach to the time-discretization of gradient flows of convex functionals in Hilbert spaces. In particular, a discrete version of the celebrated Brezis-Ekeland variational principle is considered.
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A generalization of Ekeland's variational principle by using the τ-distance with its applications. [PDF]

J Inequal Appl, 2017
Farajzadeh AP, Plubtieng S, Hoseinpour A.   +2 more
europepmc   +1 more source