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Volume 28, Issue 2
Ky Fan Type Best Approximation Theorem for a Class of Factorizable Multifunctions

Hemant Kumar Nashine & Zoran D. Mitrovic

DOI: 10.3969/j.issn.1672-4070.2012.02.001

Anal. Theory Appl., 28 (2012), pp. 101-110.

Published online: 2012-06

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  • Abstract

An existence result on Ky Fan type best approximation is proved. For this purpose, a class of factorizable multifunctions and the other one being a demicontinuous, relative almost quasi-convex, onto function on an approximately weakly compact, convex subset of Hausdorff locally convex topological vector space are used. As consequence, this result extends the best approximation results of Basha and Veeramani[8] and many others.

  • Keywords

Almost affine, almost quasi convex, approximately weakly compact, best approximation, demicontinuous map, locally convex space, relative almost quasi convex, Kakutani factorizable multifunction, upper semicontinuous map.

  • AMS Subject Headings

47H10, 54H25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-28-101, author = {}, title = {Ky Fan Type Best Approximation Theorem for a Class of Factorizable Multifunctions}, journal = {Analysis in Theory and Applications}, year = {2012}, volume = {28}, number = {2}, pages = {101--110}, abstract = {

An existence result on Ky Fan type best approximation is proved. For this purpose, a class of factorizable multifunctions and the other one being a demicontinuous, relative almost quasi-convex, onto function on an approximately weakly compact, convex subset of Hausdorff locally convex topological vector space are used. As consequence, this result extends the best approximation results of Basha and Veeramani[8] and many others.

}, issn = {1573-8175}, doi = {https://doi.org/10.3969/j.issn.1672-4070.2012.02.001}, url = {http://global-sci.org/intro/article_detail/ata/4547.html} }
TY - JOUR T1 - Ky Fan Type Best Approximation Theorem for a Class of Factorizable Multifunctions JO - Analysis in Theory and Applications VL - 2 SP - 101 EP - 110 PY - 2012 DA - 2012/06 SN - 28 DO - http://doi.org/10.3969/j.issn.1672-4070.2012.02.001 UR - https://global-sci.org/intro/article_detail/ata/4547.html KW - Almost affine, almost quasi convex, approximately weakly compact, best approximation, demicontinuous map, locally convex space, relative almost quasi convex, Kakutani factorizable multifunction, upper semicontinuous map. AB -

An existence result on Ky Fan type best approximation is proved. For this purpose, a class of factorizable multifunctions and the other one being a demicontinuous, relative almost quasi-convex, onto function on an approximately weakly compact, convex subset of Hausdorff locally convex topological vector space are used. As consequence, this result extends the best approximation results of Basha and Veeramani[8] and many others.

Hemant Kumar Nashine & Zoran D. Mitrovic. (1970). Ky Fan Type Best Approximation Theorem for a Class of Factorizable Multifunctions. Analysis in Theory and Applications. 28 (2). 101-110. doi:10.3969/j.issn.1672-4070.2012.02.001
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