Topological properties of Henig globally efficient solutions of   set-valued  problems

Guolin  Yu

doi:10.3934/naco.2014.4.309

Article Contents

2014, Volume 4, Issue 4: 309-316. Doi: 10.3934/naco.2014.4.309

This issue Previous Article Nonlinear scalarization with applications to Hölder continuity of approximate solutions Next Article A note on the stability of a second order finite difference scheme for space fractional diffusion equations

Topological properties of Henig globally efficient solutions of set-valued problems

Guolin Yu^1,

1.
Institute of Applied Mathematics, Beifang University of Nationalities, Yinchuan 750021

Received: March 2013

Revised: October 2014

Published: December 2014

Abstract / Introduction Related Papers Cited by

Abstract

This paper deals with the topological properties of Henig globally efficiency in vector optimization problem with set-valued mapping. The closednesst and compactness results are presented for Henig globally efficiency, Especially, under the assumption of ic-cone-convexlikeness, the connectedness of Henig globally efficient set is obtained. As the application of the results, the relevant topological properties of Benson proper efficiency are also presented.

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Mathematics Subject Classification: Primary: 90C29, 90C46; Secondary: 26B25.

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