Optimality Condition of a Class of Arc Connected Function

Hailan Fu, Xiaojun Lei


In the condition that the real valued function f : S ? R is a arc connected function in arc connected set S ? Rn, this
paper give the definition of generalized arc connected function. The class function is the promotion of convex function
which satisfies identified local-global extremum property. Conversely, under certain conditions. the function meeting
local-global extremum property must be one of those generalized functions. Also, the optimality sufficient condition of
minx?S f (x), s.t.g(x) ? 0 is obtained under generalized connected assumption.

Full Text:


DOI: https://doi.org/10.5539/jmr.v2n3p188

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.