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This work concerns with vector equilibrium problems where the image space of the bifunction is not endowed with any topology. To be precise, a kind of “semi-algebraic” upper semicontinuity notion… Click to show full abstract
This work concerns with vector equilibrium problems where the image space of the bifunction is not endowed with any topology. To be precise, a kind of “semi-algebraic” upper semicontinuity notion is introduced and, by means of a recent algebraic version of the so-called Gerstewitz’s functional, a new existence result of weak efficient solutions is obtained that significantly improves some previous ones stated in the topological setting since it requires weaker assumptions.
Keywords:
existence weak;
weak efficient;
efficient solutions;
note existence;
vector equilibrium;
equilibrium problems
Journal Title: Optimization Letters
Year Published: 2018
Link to full text (if available)
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Journal Title: Optimization Letters
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!