TY - JOUR
T1 - Role of twice Fréchet-differentiable mappings in general auxiliary problem principle
AU - Lin, E. B.
AU - Verma, R. U.
PY - 2003/5
Y1 - 2003/5
N2 - The role of twice Fréchet-differentiable mappings in general auxiliary problem principle (GAPP) is studied. The approximation-solvability of the nonlinear variational inequality problems (NVIP) based on GAPP is discussed. The class of m-times continuously Fréchet-differentiable mappings have a suitable framework to describe and analyze iterative optimization algorithms such as gradient or subgradient as well as decomposition/coordination algorithm.
AB - The role of twice Fréchet-differentiable mappings in general auxiliary problem principle (GAPP) is studied. The approximation-solvability of the nonlinear variational inequality problems (NVIP) based on GAPP is discussed. The class of m-times continuously Fréchet-differentiable mappings have a suitable framework to describe and analyze iterative optimization algorithms such as gradient or subgradient as well as decomposition/coordination algorithm.
KW - Approximate solutions
KW - Approximation-solvability
KW - General auxiliary problem principle
UR - http://www.scopus.com/inward/record.url?scp=0037668889&partnerID=8YFLogxK
U2 - 10.1016/S0898-1221(03)00153-6
DO - 10.1016/S0898-1221(03)00153-6
M3 - Article
AN - SCOPUS:0037668889
SN - 0898-1221
VL - 45
SP - 1749
EP - 1756
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 10-11
ER -