A New Equilibrium Version of Ekeland's Variational Principle and Its Applications

被引:0
作者
Feng, Yuqiang [1 ,2 ]
Xie, Juntao [1 ]
Wu, Bo [3 ]
机构
[1] Wuhan Univ Sci & Technol, Sch Sci, Wuhan 430065, Peoples R China
[2] Hubei Prov Key Lab Syst Sci Met Proc, Wuhan 430065, Peoples R China
[3] State Key Lab Environm Friendly Energy Mat, Mianyang 621010, Sichuan, Peoples R China
关键词
Ekeland-type variational principle; bi-function; equilibrium point; fixed point; EQUIVALENTS; EXISTENCE;
D O I
10.3390/axioms11020068
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note, a new equilibrium version of Ekeland's variational principle is presented. It is a modification and promotion of previous results. Subsequently, the principle is applied to discuss the equilibrium points for binary functions and the fixed points for nonlinear mappings.
引用
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页数:8
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共 19 条
[1]   Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory [J].
Al-Homidan, S. ;
Ansari, Q. H. ;
Yao, J. -C. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (01) :126-139
[2]   The Eke land variational principle for equilibrium problems revisited and applications [J].
Alleche, Boualem ;
Radulescu, Vicentiu D. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 23 :17-25
[3]   Ekeland's principle for vector equilibrium problems [J].
Bianchi, M. ;
Kassay, G. ;
Pini, R. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (07) :1454-1464
[4]   Existence of equilibria via Ekeland's principle [J].
Bianchi, M ;
Kassay, G ;
Pini, R .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 305 (02) :502-512
[5]  
Blum E., 1994, Math. Student, V63, P123
[6]   Ekeland's principle for cyclically antimonotone equilibrium problems [J].
Castellani, Marco ;
Giuli, Massimiliano .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 32 :213-228
[7]   NON-CONVEX MINIMIZATION PROBLEMS [J].
EKELAND, I .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 1 (03) :443-474
[8]   VARIATIONAL PRINCIPLE [J].
EKELAND, I .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 47 (02) :324-353
[9]   A Generalized Variational Principle and Its Application to Equilibrium Problems [J].
Farkas, Csaba ;
Molnar, Andrea Eva .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 156 (02) :213-231
[10]   EKELAND'S PRINCIPLE FOR SET-VALUED VECTOR EQUILIBRIUM PROBLEMS [J].
Gong, Xunhua .
ACTA MATHEMATICA SCIENTIA, 2014, 34 (04) :1179-1192