Please use this identifier to cite or link to this item:
http://hdl.handle.net/10603/71866
Title: | Some Contributions to Optimality Criteria and Duality in Multiobjective Mathematical Programming |
Researcher: | Mattoo, Rumana Gulzar |
Guide(s): | Aquil Ahmed and Husain, I. |
Keywords: | Mathematical programming Optimality, Duality, Mixed Duality |
University: | University of Kashmir |
Completed Date: | 2010 |
Abstract: | This thesis entitled, SOME CONTRIBUTIONS TO OPTIMALITY CRITERIA AND DUALITY IN MULTIOBJECTIVE MATHEMATICAL PROGRAMMING , offers an extensive study on optimality, duality and mixed duality in a variety of multiobjective mathematical programming that includes nondifferentiable nonlinear programming, variational problems containing square roots of a certain quadratic forms and support functions which are prominent nondifferentiable convex functions. This thesis also deals with optimality, duality and mixed duality for differentiable and nondifferentiable variational problems involving higher order derivatives, and presents a close relationship between the results of continuous programming problems through the problems with natural boundary conditions between results of their counter parts in nonlinear programming. Finally it formulates a pair of mixed symmetric and self dual differentiable variational problems and gives the validation of various duality results under appropriate invexity and generalized invexity hypotheses. These results are further extended to a nondifferentiable case that involves support functions. newline |
Pagination: | |
URI: | http://hdl.handle.net/10603/71866 |
Appears in Departments: | Department of Statistics |
Files in This Item:
File | Description | Size | Format | |
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01_title.pdf | Attached File | 259.32 kB | Adobe PDF | View/Open |
02_certificate.pdf | 324.8 kB | Adobe PDF | View/Open | |
03_dedication.pdf | 250.38 kB | Adobe PDF | View/Open | |
04_abstract.pdf | 98.14 kB | Adobe PDF | View/Open | |
05_acknowledgement.pdf | 40.34 kB | Adobe PDF | View/Open | |
06_contents.pdf | 41.26 kB | Adobe PDF | View/Open | |
07_chapter 1.pdf | 1.23 MB | Adobe PDF | View/Open | |
08_chapter 2.pdf | 526.91 kB | Adobe PDF | View/Open | |
09_chapter 3.pdf | 469.87 kB | Adobe PDF | View/Open | |
10_chapter 4.pdf | 750.14 kB | Adobe PDF | View/Open | |
11_chapter 5.pdf | 658.88 kB | Adobe PDF | View/Open | |
12_chapter 6.pdf | 562.93 kB | Adobe PDF | View/Open | |
13_chapter 7.pdf | 934.37 kB | Adobe PDF | View/Open | |
14_bibliography.pdf | 208.8 kB | Adobe PDF | View/Open |
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