EVP, MINIMAX THEOREMS AND EXISTENCE OF NONCONVEX EQUILIBRIA IN COMPLETE G-METRIC SPACES

E. HASHEMI; R. SAADATI

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EVP, MINIMAX THEOREMS AND EXISTENCE OF NONCONVEX EQUILIBRIA IN COMPLETE G-METRIC SPACES

机译：EVP，Minimax定理和完整G-度量空间中非凸均衡的存在

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摘要

We prove generalized EVP (Ekeland's variational principle) and generalized Takahashi's nonconvex minimization theorem by Ω-distance on G-metric spaces. As a result of last theorems, we get generalized flower petal theorem.

机译：我们将广义EVP（ekeland的变分原理）和G-Metric空间上的Ω距离通过ω-距离的非凸显最小化定理。由于最后定理，我们得到了广泛的花瓣定理。

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《Journal of computational analysis and applications》 |2018年第3期|共1页
作者
E. HASHEMI; R. SAADATI;
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作者单位

Department of Mathematics College of Basic Sciences Karaj Branch Islamic Azad University Alborz Iran.;

Department of Mathematics Iran University of Science and Technology Tehran Iran;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Ω-distance; Generalized EVP; Lower semicontinuous from above function; Generalized Caristi's (common) fixed point theorem; Nonconvex minimax theorem; Nonconvex equilibrium theorem; Generalized flower petal theorem;

机译：ω-距离;广义EVP;从上面的功能下;下半连续;广义Caristi的（常见）的定点定理;非渗透最小值定理;非膨胀性均衡定理;广义花瓣定理;

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专利

1. EVP, MINIMAX THEOREMS AND EXISTENCE OF NONCONVEX EQUILIBRIA IN COMPLETE G-METRIC SPACES [J] . E. HASHEMI, R. SAADATI Journal of computational analysis and applications . 2018,第3期

机译：EVP，Minimax定理和完整G-度量空间中非凸均衡的存在
2. New existence theorems for quasi-equilibrium problems and a minimax theorem on complete metric spaces [J] . Chih-Sheng Chuang, Lai-Jiu Lin Journal of Global Optimization . 2013,第2期

机译：拟均衡问题的新存在性定理和完备度量空间上的极小极大定理
3. Existence theorems of solutions for generalized quasi-variational inequalities, a minimax theorem, and a section theorem in the spaces without linear structure [J] . Wu X. Journal of Mathematical Analysis and Applications . 1998,第2期

机译：无线性结构空间中广义拟变分不等式解的存在性定理，极小极大定理和截面定理
4. A minimax inequality and its application to the existence of Pareto equilibria for multi-objective games in FC-spaces [C] . Haishu Lu, Yulin Miao 2010 International Conference on Future Information Technology and Management Engineering . 2010

机译：极小极大不等式及其在FC空间中多目标游戏的帕累托均衡存在中的应用
5. Extension theorems and minimax inequalities with applications to mathematical economics. [D] . Wu, Zhou. 1997

机译：扩展定理和极小极大不等式在数学经济学中的应用。
6. Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces [O] . Ky Fan 1952

机译：局部凸拓扑线性空间中的不动点定理和极小极大定理
7. Ekeland Variational Principle, Minimax Theorems and Existence of Nonconvex Equilibria in Complete Metric Spaces [O] . L. J. Lin 2011

机译：完整度量空间中的Ekeland变分原理，极小极大定理和非凸均衡的存在

EVP, MINIMAX THEOREMS AND EXISTENCE OF NONCONVEX EQUILIBRIA IN COMPLETE G-METRIC SPACES

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