Mond-Weir type second order multiobjective mixed symmetric duality with square root term under generalized univex function

Authors

  • Arun Kumar Tripathy TRIDENT ACADEMY OF TECHNOLOGY

DOI:

https://doi.org/10.11121/ijocta.01.2014.00175

Keywords:

second order (Φ, ρ)-univex, mixed symmetric duality, efficient solution, square root term, Schwartz inequality.

Abstract

In this paper, a new class of second order (Φ,ρ)-univex and second order (Φ,ρ)-pseudo univex function are introduced with example. A pair Mond-Weir type second order mixed symmetric duality for multiobjective nondifferentiable programming is formulated and the duality results are established under the mild assumption of second order (∅,ρ) univexity and second order pseudo univexity. Special cases are discussed to show that this study extends some of the known results in related domain..

Author Biography

Arun Kumar Tripathy, TRIDENT ACADEMY OF TECHNOLOGY

Mathematics

Associate Professor

References

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Published

2013-12-04

How to Cite

Tripathy, A. K. (2013). Mond-Weir type second order multiobjective mixed symmetric duality with square root term under generalized univex function. An International Journal of Optimization and Control: Theories &Amp; Applications (IJOCTA), 4(1), 21–33. https://doi.org/10.11121/ijocta.01.2014.00175

Issue

Section

Applied Mathematics & Control