Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Jiagen Liao"'
Autor:
Jiagen Liao, Zhongping Wan
Publikováno v:
Axioms, Vol 11, Iss 12, p 696 (2022)
For a better understanding of the bilevel programming on Riemannian manifolds, a semivectorial bilevel programming scheme is proposed in this paper. The semivectorial bilevel programming is firstly transformed into a single-level programming problem
Externí odkaz:
https://doaj.org/article/8b02cc442e3a43bb9dabf35be2f733f7
Publikováno v:
Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-24 (2016)
Abstract The authors first introduce the concepts of generalized ( α , m ) $(\alpha,m)$ -preinvex function, generalized quasi m-preinvex function and explicitly ( α , m ) $(\alpha, m)$ -preinvex function, and then provide some interesting propertie
Externí odkaz:
https://doaj.org/article/b6308990a85444b6af951c1e4c0190b5
Publikováno v:
Symmetry, Vol 10, Iss 12, p 774 (2018)
Noticing that E -convexity, m-convexity and b-invexity have similar structures in their definitions, there are some possibilities to treat these three class of mappings uniformly. For this purpose, the definitions of the ( E , m ) -convex sets and th
Externí odkaz:
https://doaj.org/article/933e23a7a49542c79f49eaa2c8c593b8
On the Karush-Kuhn-Tucker reformulation of the bilevel optimization problems on Riemannian manifolds
Autor:
Jiagen Liao, Zhongping Wan
Publikováno v:
Filomat. 36:3609-3624
Bilevel programming problems are often reformulated using the Karush-Kuhn-Tucker conditions for the lower level problem resulting in a mathematical program with complementarity constraints (MPCC). First, we present KKT reformulation of the bilevel op
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b32e47f4ace0743a92fddebef1d9763
https://doi.org/10.2298/fil2211609l
https://doi.org/10.2298/fil2211609l
Publikováno v:
Fuzzy Sets and Systems. 379:102-114
In this paper, we establish the left hand side of the Hermite–Hadamard inequality for α-preinvex functions, and illustrate that the Hermite–Hadamard inequality for α-preinvex functions is not valid for the Sugeno integral. Moreover, we give sev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aeddc2d4fa57a329dbfbca6ae5464f6a
https://doi.org/10.1016/j.fss.2018.11.008
https://doi.org/10.1016/j.fss.2018.11.008
Autor:
Tingsong Du, Jiagen Liao
Publikováno v:
Filomat. 30:3885-3895
A new class of generalized convex functions called sub-b-s-convex functions is defined by modulating the definitions of s-convex functions and sub-b-convex functions. Similarly, a new class sub-bs-convex sets, which are generalizations of s-convex se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25ea85b0fa942bd4c052dddf729a7f25
https://doi.org/10.2298/fil1614885l
https://doi.org/10.2298/fil1614885l
Publikováno v:
Symmetry, Vol 10, Iss 12, p 774 (2018)
Symmetry
Volume 10
Issue 12
Symmetry
Volume 10
Issue 12
Noticing that E -convexity, m-convexity and b-invexity have similar structures in their definitions, there are some possibilities to treat these three class of mappings uniformly. For this purpose, the definitions of the ( E , m ) -convex sets and th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81cc0bb63d3719b4dcb36c19a18317c2
https://doi.org/10.3390/sym10120774
https://doi.org/10.3390/sym10120774