彭丽辉 - 浙江工商大学 - 统计与数学学院

个人简介

September 1997 - July 2001: B.Sc., Department of Mathematics, Hunan University, Changsha, China September 2001 - August 2004: M.Sc., Department of Mathematics, Hunan University, Changsha, China September 2004 - June 2007: Ph.D., Department of Mathematics, Zhejiang University,Hangzhou, China

研究领域

Nonlinear approximations Optimization and fixed point theory

近期论文

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1. Fr´ echet and proximal subdifferentials of perturbed minimal time functions, Journalof Nonlinear and Convex Analysis, preprinted, 2016 (with L. Meng and ChingFeng Wen) 2. Well-posedness of generalized perturbed optimization problems in Banach spaces,Journal of Nonlinear and Convex Analysis, 17(4), 771-786, 2016 (with M. W.Ye) 3. Porosity results on fixed points for nonexpansive set-valued maps in hyperbolic spaces,Journal of Mathematical Analysis and Applications, 428(2): 989-1004, 2015 (with C. Li and J. C. Yao). 4. An Ulm-like method for solving nonlinear operator equations, Journal of Nonlinear and Convex Analysis, 16(7): 1439-1447, 2015 (with Wei-Ping Shen and Ting-Ting Wei). 5. Contractive set-valued maps in hyperbolic spaces, Journal of Nonlinear and Convex Analysis, 16(7):1415-1424, 2015 (with Xian-Fa Luo). 6. Porosity of fixed points for nonexpansive set-valued maps, Set-Valued Var. Anal., 22(2): 333-348, 2014 (with C. Li). 7. Porosity of mutually nearest and mutually furthest points problems in geodesic space,Numerical Functional Analysis and Optimization, 33(3): 284-300, 2012. 8. Existence of a kind of best simultaneous approximations in LP (Ω; Σ; X), Taiwanese Journal of Mathematics, 16(5): 1601-1612, 2012, (with Xian-Fa Luo). 9. Generic well-posedness for perturbed optimization problems in Banach spaces, Taiwanese Journal of Mathematics, 14(4): 1351-1369, 2010 (with C. Li and J. C.Yao). 10. Well-posedness of a class of perturbed optimization problems in Banach spaces, Journal of Mathematical Analysis and Applications, 346(2): 384-394, 2008 (with C. Li and J. C. Yao). 11. Uniqueness of Simultaneous Approximations in Continuous Function Spaces, Applied Mathematics Letters, 21: 383-387, 2008 (with C. Li). 12. Existence and Well-posedness in Approximation Theory in Banach Spaces, Advances in Mathematics, 37(3): 257-268, 2008 (with C. Li). 13. Porosity of Perturbed Optimization Problems in Banach Spaces, Journal of Mathematical Analysis and Applications, 325: 987-1002, 2007, (with C. Li).2 14. Existence and Porosity for a Class of Perturbed Optimization Problems in Banach Spaces, Journal of Mathematical Analysis and Applications, 324: 751-761,2006 (with C. Li). 15. Existence and Nonexistence of Global Classical Solutions to Porous Medium and Plasma Equations with Singular Sources, Acta Mathematica Sinica (Engl. Ser.),22(2): 485-496, 2006 (with Q.Y. Dai). 16. Necessary and Sufficient Conditions for the Existence of Nonnegative Solutions of Inhomogeneous p-Laplace Equation, Acta Mathematica Scientia, 27B(1): 34-56,2007 (with Q.Y. Dai).