Efficiency and Henig Efficiency for Vector Equilibrium Problems
By X. Gong. 2001
116 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/b32a102f19ad7d9d783275776f91463af27c86f0
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In Applied Mathematics
In Computational Theory and Mathematics
- Jen-Chih Yao
- X. Gong
- Yonghong Yao
- Muhammad Aslam Noor
- Qamrul Hasan Ansari
- Nan-Jing Huang
- Poom Kumam
- Yekini Shehu
In Numerical Analysis
Citations in the corpus
- Optimality conditions for Henig and globally proper efficient solutions with ordering cone has empty interior (2005, methodology): “Gong et al. [11] gave the optimality condition for proper ✩ This research was partially supported by the Natural Science Foundation of Jiangxi Province, China.”
- Ekeland's principle for vector equilibrium problems (2007, unknown): “(see for instance, [10]).”
- Connectedness of the Set of Efficient Solutions for Generalized Systems (2008, result): “By similar argument as in the proof of Lemma 2.1 in [ 3 ], we have”
- Connectedness of the Solution Sets and Scalarization for Vector Equilibrium Problems (2007, methodology): “In [ 16 , 17], we discuss the connectednees of the set of Henig efficient solutions and the set of weak efficient solutions to the vector-valued Hartman-Stampacchia variational inequality in normed linear spaces and the connectednees of VS(A, F ) in locally convex spaces, where F is arc-concavelike ”
- Optimality conditions for proper efficient solutions of vector set-valued optimization ✩ (2003, unknown): “The concepts of proper efficient solutions are of great importance in vector optimization (see [19–23]).”