Completeness in quasi-metric spaces and Ekeland Variational Principle
Topology and its Applications, 2011 The author establishes a quasi-metric version of the Ekeland variational principle and studies its connections with the completeness properties of the underlying quasi-metric space. The equivalence with Caristi-Kirk's fixed point theorem and a proof of Clarke's fixed point theorem for directional contractions within this framework are also investigated.
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A pre-order principle and set-valued Ekeland variational principle
Journal of Mathematical Analysis and Applications, 2014 We establish a pre-order principle. From the principle, we obtain a very general set-valued Ekeland variational principle, where the objective function is a set-valued map taking values in a quasi ordered linear space and the perturbation contains a family of set-valued maps satisfying certain property.
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Vectorial Form of Ekeland-Type Variational Principle in Locally Convex Spaces and Its Applications
Fixed Point Theory and Applications, 2010 By using a Dane ' drop theorem in locally convex spaces we obtain a vectorial form of Ekeland-type variational principle in locally convex spaces. From this theorem, we derive some versions of vectorial Caristi-Kirk's fixed-point theorem, Takahashi's ...
Eshghinezhad S, Fakhar M
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Towards a simple mathematical theory of citation distributions. [PDF]
Springerplus, 2015 Katchanov YL.
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Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent. [PDF]
J Inequal Appl, 2017 Sang Y, Guo S.
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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 +2 more
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Some fixed point theorems in generating space of b-quasi-metric family. [PDF]
Springerplus, 2016 Kumari PS, Sarwar M.
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Travelling solitary waves for boson stars
Electronic Journal of Differential Equations, 2019 In this article, we study the pseudo-relativistic Hartree equation $$ i\partial_{t}\psi=(\sqrt{-\Delta+m^2}-m)\psi -(\frac{e^{-\mu|x|}}{4\pi|x|}\ast|\psi|^2)\psi,\quad \text{on }\mathbb{R}^3, $$ which describes the dynamics of pseudo-relativistic ...
Guoqing Zhang, Ningning Song
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Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. [PDF]
Calc Var Partial Differ EquGhosh S, Kumar V, Ruzhansky M.
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Towards Nonlinearity: The <i>p</i>-Regularity Theory. [PDF]
Entropy (Basel)Bednarczuk E +4 more
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