Selections for Metric Projection

• Main Authors: Li rung sheng, 李榮陞
• Other Authors: 楊南屏
• Format: Others
• Language: zh-TW
• Published: 2005
• Online Access: http://ndltd.ncl.edu.tw/handle/91105647580104334269

碩士 === 輔仁大學 === 數學系研究所 === 93 === We consider a metric projection as a piecewise polyhedral multifunction. To see selections of metric projections, we first prove the existence of continuous extremal point selections of piecewise polyhedral multifunctions and quasi-linear selections of quasi-linear multifunctions. The existence of selections to metric projections then follows. Finally, we briefly explore the existence of continuous quasi-linear extremal point selections of metric projections by an example.