Set coverings and invertibility of Functional Galois Connections

Details Set coverings and invertibility of Functional Galois Connections Set coverings and invertibility of Functional Galois Connections

2004-03-25

arxiv.org/abs/math/0403441v2

Appears in "Idempotent Mathematics and Mathematical Physics", G.L. Litvinov and V.P. Maslov, Eds, vol. 377 of Contemporary Mat

Mathematics

Functional Analysis

33 pages, 2 Postscript figures; Acknowledgement added

Scientific paper

We consider equations of the form Bf=g, where B is a Galois connection between lattices of functions. This includes the case where B is the Legendre-Fenchel transform, or more generally a Moreau conjugacy. We characterise the existence and uniqueness of a solution f in terms of generalised subdifferentials. This extends a theorem of Vorobyev and Zimmermann, relating solutions of max-plus linear equations and set coverings. We give various illustrations.

Affiliated with

Also associated with

No associations

Rating

Set coverings and invertibility of Functional Galois Connections does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Set coverings and invertibility of Functional Galois Connections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Set coverings and invertibility of Functional Galois Connections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-539997