Izhar's Web Page

Research Publications
Home
About Me
Favorite Links
Contact Me
My Resume
Supervisions
Research Publications
Memberships
Conferences/Summer School
Impact Factor
References

Add your content here

Papers Published  Journals 

1. Efficiency and duality in multiobjective fractional programming (with T.R.Gulati), {\bf Opsearch}, 32(1995), 31-43.

2. Second order symmetric duality for nonlinear minimax integer programs (with T.R.Gulati), {\bf European Journal of Operational Research, 101(1997)}, 122-129.

3. Symmetric duality for nondifferentiable minimax mixed integer programming problems (with T.R.Gulati and I.Husain), {\bf Optimization}, 39(1997), 69-84.

4. Optimality conditions and duality in nondifferentiable multiobjective programming (with T.R.Gulati), {\bf Mathematics and its Applications in Engineering and Industry}, Eds. Bani Sing et al., Narosa Publishing House, New Delhi, 1997,76-84.

5. Multiobjective duality using Fritz John conditions (with T.R.Gulati),{\bf Asia - Pacific Journal of Operational Research}, 15(1998), 63-74.

6. Symmetric duality for minimax variational problems (with T.R.Gulati and I.Husain), {\bf Mathematical Methods of Operations Research }, 48(1998), 81-96.

7. Second order symmetric duality with generalized convexity (withT.R.Gulati and I.Husain), {\bf Opsearch}, 38(2001), 210-222.

8. Optimality conditions for nondifferentiable multiobjective fractional programming problems (with T.R.Gulati), Mathematical Modeling, Eds. Bani Sing et al., Tata McGraw-Hill Publishing Company, New Delhi,2001, 196-201.

9. Optimality conditions and duality in fractional minimax programming involving generalized rho-convexity, International Journal of Management and Systems}, 19 (2003) ,165-180.

10. Sufficient optimality conditions for nondifferentiableprogramming , Aligarh Bulletin of Mathematics, 22 (2003), 113-117 .

11. On nondifferentiable second order symmetric duality in mathematical programming (with Z. Husain), Indian Journal of Pure and Applied Mathematics 35(2004), 665-676.

12. Optimality conditions and mixed duality in nondifferentiable programming, Journal of Nonlinear and Convex Analysis 5(2004),113-119 .

13. Sufficient and duality in multiobjective programming with generalized (F, rho)-convexity, Journal of Applied Analysis 11(2005),19-32.

14. On nondifferentiable second order symmetric duality (with Z. Husain), Asia-Pacific Journal of Operational Research 22(2005), 19-31.

15. Second order symmetric duality in nondifferentiable multiobjective programming, Information Sciences 173 (2005),23-34.

16. Multiobjective mixed symmetric duality with invexity,New Zealand Journal of Mathematics 34(2005),1-9.

17. Nondifferentiable second order symmetric duality in multiobjective programming (with Z. Husain), Applied Mathematics Letters 18(2005), 721-728.

18. Mixed type duality for multiobjective variational problems with generalized (f, rho)-convexity (with T. R. Gulati), Journal of Mathematical Analysis and Applications 306(2005), 669-683.

19. Second order symmetric duality for nondifferentiable minimax mixed integer programs, Southeast Asian Bulletin of Mathematics 29(2005), 843-849.

20. On symmetric duality in nondifferentiable mathematical programming with F-convexity (with Z. Husain), Journal of Applied Mathematics and Computing 19(2005), 371-384.

21. Duality in nondifferentiable fractional minimax programming (with T. R. Gulati and A. Ahmed), Journal of Indian Society of Statistics and Operations Research 26(2005), 13-25.

22. Symmetric duality for multiobjective fractional variational problems with generalized invexity, Information Sciences 176(2006), 2192-2207 .

23. Duality in nondifferentiable minimax fractional programming with generalized convexity (with Z. Husain), Applied Mathematics and Computation 178(2006), 545-551.

24. Second order (F,alpha, rho, d)-convexity and duality in multiobjective programming (with Z. Husain), Information Sciences 176(2006),3094-3103.

25. Optimality conditions and duality in nondifferentiable minimax fractional programming with generalized convexity (with Z. Husain), Journal of Optimization Theory and Applications 129(2006), 255-275.

26. Mixed symmetric duality for nondifferentiable programming problems (with T.R. Gulati), Opsearch 43(2006), 296-308.

27. Minimax mixed integer symmetric duality for multiobjective variational problems (with Z. Husain), European Journal of Operational Research 177 (2007), 71-82.

28. Symmetric Duality for Fractional Variational Problems with Cone Constraints(with M. Yaqoob and A. Ahmed), Journal of Applied Mathematics and Computing 23 (2007), 281-292.

29. Sufficiency and duality in multiobjective programming under generalized type-I functions (with T.R. Gulati and Divya Agarwal), Journal of Optimization Theory and Applications 135 (2007), 411-427 .

30. Sufficiency in multiobjective subset programming involving generalized type-I functions (with Sarita Sharma), Journal of Global Optimization 39 (2007), 473-481 .

31. Second order duality in nondifferentiable minmax programming involving type-I functions (with Z.Husain and Sarita Sharma), Journal of Computational and Applied Mathematics, (2008) (Article in Press).

32. Symmetric duality for multiobjective fractional variational problems involving cones, (with Sarita Sharma), European Journal of Operational Research (2008) (Article in Press).

33. Optimality conditions and duality in nonsmooth multiobjective optimization, (with Sarita Sharma), Journal of Nonlinear and Convex Analysis 8 (2007), 417-430.

34. Second order duality for nondifferential multiobjective programming problems (with Sarita Sharma), Numerical Functional Analysis and Optimization 28 (2007), 975–988.

35. Higher order duality in nondifferentiable multiobjective programming, (with Z. Husain and Sarita Sharma), Numerical Functional Analysis and Optimization 28 (2007), 989-1002.

36. Multiobjective fractional symmetric duality involving cones, (with Sarita Sharma), Journal of Applied Mathematics and Informatics (2008)( to appear).

37. Second-order symmetric duality with cone constraints, (with T.R. Gulati and S.K. Gupta), Journal of Computational and Applied Mathematics (2008)(Article in Press)

38. Note on Mond-Weir type Multiobjective  Nondifferentiable Second order Symmetric Duality, (with Z. Husain), Optimization Letter (2008) (In Print)

Enter supporting content here

Try to get what you like, otherwise you will be forced to like what you get