Theses and Dissertations - UTB/UTPA

Date of Award


Document Type


Degree Name

Master of Science (MS)



First Advisor

Dr. Mau Nam Nguyen

Second Advisor

Dr. Barnabas Bede

Third Advisor

Dr. Paul Bracken


The classical Heron problem states: on a given straight line in the plane, find a point C such that the sum of the distances from C to the given points A and B is minimal. This problem can be solved using standard geometry or differential calculus. In the light of modern convex analysis, we are able to investigate more general versions of this problem. In this thesis we propose and solve the following problem: on a given nonempty closed convex subset of IRs , find a point such that the sum of the distances from that point to n given nonempty closed convex subsets of IRs is minimal.


Copyright 2011 Juan Salinas Jr. All Rights Reserved.

Granting Institution

University of Texas-Pan American

Included in

Mathematics Commons