Vol. 2 No. 3 (2013): ASIAN JOURNAL OF CURRENT ENGINEERING AND MATHS
Articles
In this paper, I have presented a robust duality theory for generalized convex programming problems in the face of data uncertainty within the framework of robust optimization. I have established robust duality for an uncertain nonlinear programming primal problem and its uncertain Lagrangian dual. Numerical examples are given to illustrate the nature of robust duality for uncertain nonlinear programming problems.
AMS subject classification. 90C22, 90C25, 90C46
In this paper three already known theorem which are proved in a lengthy and complicated manner are being proved in a simple and lucid manner. For proving these theorem, the degrees of the vertices only taken under consideration. The cyclic path covering number which are not easy to calculate for any arbitrary graph is becoming very simple by using these theorems.
AMS Subject Classification 2000 : 05C38, 05C45, 05C70.
We apply the notion of Banach space operator ideals in nuclear spaces through
topological vector spaces. The motivation for this study came from attempts to generalize the structure of nuclear spaces as a result of nuclear maps from functional analysis context. The compact closed structure associated with the category of relations results to nuclear ideals. Basic properties of Banach space operator ideals in relation to the structure of nuclear spaces will be demonstrated. We therefore establish a close correspondence between Banach space operator ideals and nuclear ideals through topological vector
spaces.
Mathematics Subject Classification: 46A03, 46A22, 46B50.