On the weak form of Ekeland's Variational Principle in quasi-metric spaces

Erdal Karapinar; Salvador Romaguera

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On the weak form of Ekeland's Variational Principle in quasi-metric spaces

机译：拟度量空间中Ekeland变分原理的弱形式

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摘要

We show that a quasi-metric space is right K-sequentially complete if and only if it satisfies the property of the weak form of Ekeland's Variational Principle. This result solves a question raised by S. Cobzas (2011).

机译：我们证明，当且仅当拟度量空间满足Ekeland变分原理的弱形式的性质时，它才是K序列完全正确的。这一结果解决了S. Cobzas（2011）提出的一个问题。

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来源
《Topology and its applications》 |2015年第1期|54-60|共7页
作者
Erdal Karapinar; Salvador Romaguera;
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作者单位

Department of Mathematics, Atilim University, Incek, Ankara 06836, Turkey,Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, 21589, Jeddah, Saudi Arabia;

Instituto Universitario de Matematica Pura y Aplicada, Universitat Politecnica de Valencia, Cami de Vera s, 46022 Valencia, Spain;

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正文语种 eng
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关键词
Quasi-metric space; Right K-sequentially complete; Ekeland's Variational Principle; Caristi's fixed point theorem;

机译：准度量空间;右K顺序完成;埃克兰变分原理;卡里斯蒂不动点定理;

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1. Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem in fuzzy quasi-metric spaces [J] . Wu Jian Rong, Tang Xiao Topology and its applications . 2021,第Octa1期

机译：Caristi的固定点定理，ekeland的变分原理和Takahashi在模糊准度量空间中的最大化定理
2. EKELAND TYPE VARIATIONAL PRINCIPLE FOR SET-VALUED MAPS IN QUASI-METRIC SPACES WITH APPLICATIONS [J] . Ansari Qamrul Hasan, Sharma Pradeep Kumar Journal of nonlinear and convex analysis . 2019,第8期

机译：ekeland型在Quasi-Metric空格中的型号型变化原理与应用程序
3. Completeness in quasi-metric spaces and Ekeland Variational Principle [J] . S. Cobzas Topology and its applications . 2011,第8期

机译：拟度量空间的完备性与Ekeland变分原理
4. Vectorial Ekeland Variational Principles: A Hybrid Approach [C] . Q. Bao Truong International Conference on Modelling, Computation, and Optimization in Information Systems and Management Sciences . 2015

机译：矢量ekeland变分原理：一种混合方法
5. True Variational Principles and Time-Space Finite Element Methods for Classical and Quantum Mechanics. [D] . Darrall, Bradley T. 2016

机译：古典和量子力学的真变分原理和时空有限元方法。
6. A generalization of Ekeland’s variational principle by using the τ-distance with its applications [O] . AP Farajzadeh, S Plubtieng, A Hoseinpour -1

机译：通过使用τ距离及其应用来推广Ekeland的变分原理
7. On the weak form of Ekeland's Variational Principle in quasi-metric spaces [O] . Erdal Karapınar, Salvador Romaguera 2015

机译：关于ekeland在准公空空间中变分原理的弱形

On the weak form of Ekeland's Variational Principle in quasi-metric spaces

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