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Optimization for integral functionals

 

作者: Hang–Chin Lai,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1989）
卷期: Volume 10, issue 11-12  

页码: 1139-1159

 

ISSN:0163-0563

 

年代: 1989

 

DOI:10.1080/01630568908816350

 

出版商: Marcel Dekker, Inc.

 

关键词: weak normal integral;measurable selection;conjugate function;perturbed function

 

数据来源: Taylor

 

摘要:

The continuity and differentiability for integral operator in Banach spaces are proved with respect to Lp–topology. The weak normal integrand is defined, so that a generalized measurable selection theorem is derived, and the conjugate functional for integral functional is formulated. The duality theorem of optimization problem for integral functional is established by using the conjugate functional.

 

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