On second order duality for nondifferentiable minimax fractional programming problems involving type-I functions

Authors

  • S. K. Gupta Indian Institute of Technology Roorkee, Roorkee-247667 (India)
  • D. Dangar Department of Mathematics Indian Institute of Technology Patna, Patna-13 (India)
  • I. Ahamd King Fahd University of Petroleum and Minerals, Dhahran-31261

DOI:

https://doi.org/10.21914/anziamj.v55i0.7809

Keywords:

Minimax fractional programming, Nondifferentiable programming, Second-order duality, (F, \alpha, \rho, d)-type-I functions

Abstract

We introduce second order \((C,\alpha ,\rho ,d)\) type-I functions and formulate a second order dual model for a nondifferentiable minimax fractional programming problem. The usual duality relations are established under second order \((F,\alpha ,\rho ,d)/(C,\alpha ,\rho ,d)\) type-I assumptions. By citing a nontrivial example, it is shown that a second order \((C,\alpha ,\rho ,d)\) type-I function need not be \((F,\alpha ,\rho ,d)\) type-I. Several known results are obtained as special cases. References
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Author Biographies

S. K. Gupta, Indian Institute of Technology Roorkee, Roorkee-247667 (India)

Assistant Professor, Department of Mathematics Indian Institute of Technology Roorkee, Roorkee-247667 (India)

I. Ahamd, King Fahd University of Petroleum and Minerals, Dhahran-31261

Associate Professor Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran-31261

Published

2014-11-17

Issue

Section

Proceedings Engineering Mathematics and Applications Conference