Global Minimum of Nonlinear Mappings and Orthogonality in C 1-classes - NZJM

New Zealand Journal of Mathematics

Messaoud Bounkhel¹ 

[1] College of ScienceDepartment of MathematicsP.O. Box 2455Riyadh 11451SAUDI ARABIA$$

关键词: nonlinear mapping;    orthogonality;    -directional derivative.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

In this paper we establish various characterizations of the global minimum of the mapdefined by ,whereis a map defined by ψ(X) = S + φ(X), is a nonlinear map,is anonempty closed convex circular subset in C1, and . Using these results, we characterize the operatorswhich are orthogonal to the range of the derivative of the nonlinear operator φ.

【 授权许可】

Unknown