Please use this identifier to cite or link to this item: http://hdl.handle.net/10603/17964
Title: Study on convergence of optimization problems
Researcher: Uthayakumar, R
Guide(s): Kanniappan, P
Keywords: Convergence
Convex
Functions
Non-convex
Optimization
Sets
Upload Date: 25-Apr-2014
University: The Gandhigram Rural Institute
Completed Date: September 1999
Abstract: In this thesis, various notions of convergence of sequence of sets and functions and their applications in the convergence of the optimal values under the perturbations of the constrained set and/or the objective function are presented. Also, we present the conditions under which a sequence of constrained convex, non-convex optimization problems converge in some sense to the given constrained convex, non-convex optimization problem. Further, Hadamard Well-Posedness with respect to SP convergence is defined and compared with Strong Well-Posedness, newlineLevitin-Polyak Well-Posedness and Tykhonov Well-Posedness. Also some newlineWell-Posedness theories are developed for B-vex optimization problems. newline newline
Pagination: i-v, 154 p.
URI: http://hdl.handle.net/10603/17964
Appears in Departments:Department of Mathematics

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02_certificate.pdf6.04 kBAdobe PDFView/Open
03_declaration.pdf8.75 kBAdobe PDFView/Open
04_acknowledgements.pdf13.3 kBAdobe PDFView/Open
05_contents.pdf4.43 kBAdobe PDFView/Open
06_abstract.pdf5.04 kBAdobe PDFView/Open
07_chapter 0.pdf93.4 kBAdobe PDFView/Open
08_chapter 1.pdf208.75 kBAdobe PDFView/Open
09_chapter 2.pdf157.87 kBAdobe PDFView/Open
10_chapter 3.pdf125.55 kBAdobe PDFView/Open
11_chapter 4.pdf232.97 kBAdobe PDFView/Open
12_chapter 5.pdf310.65 kBAdobe PDFView/Open
13_chapter 6.pdf181.61 kBAdobe PDFView/Open
14_references.pdf35.77 kBAdobe PDFView/Open


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