Specialization

Duality & Mixed Duality Theory, Nonlinear Programming, Multiobjective & Nondifferentiable programs, Variational Problems, Fractional Programming Problems.

Email

nkailey@thapar.edu

Contact No.

+91-9888524009

Assistant Professor

nkailey@thapar.edu

Biography

Dr. Navdeep Kailey is currently working as an Assistant Professor in Department of Mathematics, at Thapar Institute of Engineering and Technology, Patiala. He has completed his Ph.D. from Thapar Institute of Engineering and Technology in 2011. In 2014, he has joined as a Lecturer. Navdeep Kailey was appointed, in 2018, as an Assistant Professor in School of Mathematics at Thapar Institute of Engineering and Technology, Patiala. His area of research is Optimization. His research articles are published in international journals of repute. He has taught courses of Numerical Analysis, Optimization Techniques, Mathematics-I and Mathematics-II.

Education

1. Ph.D. from Thapar University (Formerly TIET), Patiala in Optimization Techniques (specialization Duality Theory in Non linear Programming) in 2011
2. M.Sc. from Guru Nanak Dev University, Amritsar/GIMT, Mandigobindgarh with first position (80.40 %) in 2007
3. B.Sc. (Non Medical) from Punjab University, Chandigarh/S.C.D. Govt. College, Ludhiana with first position (74.4%) in 2005
4. 12th (Non Medical) from P.S.E.B/A. S. Sr. Sec. School, Khanna with first position (62.22%) in 2002
5. 10th from P.S.E.B/Arya Putri Sr. Sec. School, Doraha with first position (73.23%) in 2000

Experience:

• Total Teaching Experience 13 years

Membership of Professional Institutions, Associations, Societies:

1. Life Member, International Working Group on Generalized Convexity, U.S.A

Research Interest:

1. Description of Research Interests: Navdeep Kailey’s research interests are in the field of Nonlinear Programming, Convex Analysis, Duality Theory, Mixed Duality Theory, Symmetric Duality, Multiobjective/Nondifferentiable/Fractional/Variational/Bilevel Programming Problems. He is guiding Ph.D. and M.Sc. students in this field.

PhDs Supervised

1. Ph.D. awarded to Dr. Sonali in Some Aspects of Duality in Mathematical Programming Problems registered in jan, 2016
2. Ph.D. awarded to Dr. Shivani Saini in Optimality and Duality Results for Various Bilevel Programming Problems registered in july, 2018
3. Ph.D. ongoing of Mr. Vivek Dhingra in Optimality and Duality for Variational & Bilevel Optimization Problems registered in August, 2019
4. Ph.D. ongoing of Mr. Neeraj Singh in Optimality Conditions and Duality Results for Different Types of Bilevel Programming Problems registered in August, 2023

Publications:

Journals

1. N. Kailey, S.K. Gupta and D. Dangar, Mixed second-order multiobjective symmetric duality with cone constraints, Nonlinear Analysis: Real World Applications, 12 (2011) 3373-3383. (Elsevier) (IF: : 1.8)
2. N. Kailey and S.K. Gupta, Duality for a class of symmetric nondifferentiable multiobjective fractional variational problems with generalized (F, alpha, rho, d)-convexity, Mathematical and Computer Modelling, 57 (2013) 1453-1465. (Elsevier)
3. N. Kailey and S.K. Gupta, Nondifferentiable second-order mixed symmetric duality with cone constraints, Maejo International Journal of Science and Technology, 6 (2012) 356-371. (IF: 0.7)
4. S.K. Gupta, N. Kailey and S. Kumar, Duality for nondifferentiable multiobjective higher-order symmetric programs over cones involving generalized (F, alpha, rho, d)-convexity, Journal of inequalities and applications, 298 (2012) 1-16. doi:10.1186/1029-242X-2012-298 (Springer) (IF: 1.5)
5. S.K. Gupta and N. Kailey, Nondifferentiable multiobjective second-order symmetric duality, Optimization Letters, 5 (2011) 125-139. (Springer) (IF: 1.3)
6. S.K. Gupta and N. Kailey, Multiobjective second-order mixed symmetric duality with a square root term, Applied Mathematics and Computation, 218 (2012) 7602-7613 (Elsevier) (IF: 3.5)
7. S.K. Gupta and N. Kailey, Second-order multiobjective symmetric duality involving cone-bonvex functions, Journal of Global Optimization, 55 (2013) 125-140 (Springer) (IF: 1.3)
8. S.K. Gupta and N. Kailey, A note on multiobjective second-order symmetric duality, European Journal of Operational Research, 201 (2010) 649-651. (Elsevier) (IF: 6.0)
9. S.K. Gupta, N. Kailey and M.K. Sharma, Higher-order (F, alpha, rho, d) - convexity and symmetric duality in multiobjective programming, Computers and Mathematics with Applications, 60 (2010) 2373-2381. (Elsevier) (IF: 2.9)
10. S.K. Gupta, N. Kailey and M.K. Sharma, Multiobjective second-order nondifferentiable symmetric duality involving (F, alpha, rho, d)-convex functions, Journal of Applied Mathematics and Informatics, 28 (2010) 1395-1408. (Korean SIGCAM)
11. S.K. Gupta, N. Kailey and M.K. Sharma, Mond-Weir type nondifferentiable multiobjective second-order symmetric duality with cone constraints, International Journal of Mathematics in Operational Research, 3 (2011) 414-430. (Inderscience)
12. I. Ahmad, S.K. Gupta, N. Kailey and R.P. Agarwal, Duality in nondifferentiable minimax fractional programming with B-(p, r)-invexity, Journal of Inequalities and Applications, 75 (2011) 1-14. (Springer) (IF: 1.5)
13. R.P. Agarwal, I. Ahmad, S.K. Gupta and N. Kailey, Generalized second-order mixed symmetric duality in nondifferentiable mathematical programming, Abstract and Applied Analysis, volume 2011, Article ID 103597, 14 pages, doi:10.1155/2011/103597. (Hindawi USA)
14. N. Kailey and S.K. Gupta, Duality for mixed second-order programs with multiple arguments, Filomat, 28: 2 (2014) 397-410, doi:10.2298/FIL1402397K (IF: 0.8)
15. S.K. Gupta, D. Dangar, N. Kailey and S. Kumar, Second-order nondifferentiable multiobjective mixed symmetric dual programs over cones, Journal of Mathematical Modelling and Algorithms, 14 (2015) 103-123. (Springer)
16. Sonali, N. Kailey and V. Sharma, On second order duality of minimax fractional programming with square root term involving generalized B-(p,r)-invex functions, Annals of Operations Research, 244 (2016) 603-617. (Springer) (IF:4.4)
17. Sonali, N. Kailey and V. Sharma, Erratum to: On second order duality of minimax fractional programming with square root term involving generalized B-(p,r)-invex functions, Annals of Operations Research, 259 (2017) 503-503. (Springer) (IF:4.4)
18. N. Kailey and Sonali, Higher-order symmetric duality in nondifferentiable multiobjective optimization over cones, Filomat, 33 (3) (2019) 711-724. (IF:0.8)
19. A. Kaur, N. Kailey and M. K. Sharma, Higher-order duality of multiobjective constrained ratio optimization problems, Filomat, 33 (7) (2019) 1985-1998. (IF:0.8)
20. Sonali, V. Sharma and N. Kailey, Higher-order non-symmetric duality for nondifferentiable minimax fractional programs with square root terms, Acta Mathematica Scientia, 40 (2020) 127-140. (Springer) (IF:1.2)
21. S. Saini and N. Kailey, Sufficiency and duality of multiobjective bi-level programming problem under Guignard constraint qualification, Maejo International Journal of Science and Technology, 16 (01) (2022) 13-24. (IF: 0.7)
22. V. Dhingra and N. Kailey, Optimality and duality for second-order interval-valued variational problems, Journal of Applied Mathematics and Computing, 68 (2022) 3147-3162. (Springer) (IF:2.4)
23. V. Dhingra and N. Kailey, Duality results for fractional variational problems and its application, Bulletin of the Malaysian Mathematical Sciences Society, 45 (2022) 2195-2223. (Springer) (IF:1.0)
24. S. Saini and N. Kailey, Necessary optimality conditions for nonsmooth multi-objective bilevel optimization problem under the optimistic perspective, Positivity, 26 (4) (2022) 1-16. (Springer) (IF:0.8)
25. N. Kailey, Sonali and S. Saini, Sufficient optimality condition and duality of nondifferentiable minimax ratio constraint problems under (p, r)-ρ-(η, θ)-invexity, Control and Cybernetics, 51 (1) (2022) 71-88. (Polish Academy of Sciences) (Scopus indexing)
26. N. Kailey, Sonali and V. Sharma, Parametric approach for a class of fractional variational programs involving support functions, International Journal of Mathematics in Operational Research, 23 (2022) 481-508. (Inderscience) (Scopus indexing)
27. S. Sethi, N. Kailey and S. Saini, Modified converse duality for multiobjective higher order Wolfe type dual program with cone constraints, Yugoslav Journal of Operations Research, 33 (2023) 233-237 (Scopus indexing)
28. S. Saini, N. Kailey and I. Ahmad, Optimality conditions and duality results for a robust bi-level programming problem, RAIRO Operations Research, 57 (2023) 525-539. (EDP Sciences) (IF: 1.8)
29. V. Dhingra and N. Kailey, Fractional variational duality results for higher-order multiobjective problems, Japan Journal of Industrial and Applied Mathematics, 40 (2023) 1175-1201 (Springer) (IF:0.7)
30. S. Saini and N. Kailey, Unification of Higher-Order Dual Programs Over Cones, Asia-Pacific Journal of Operational Research, 2024 (Accepted) (World Scientific) (IF:1.1)
31. S. Saini and N. Kailey, Duality Results in terms of Convexifactors for a Bilevel Multiobjective Optimization Problem, Filomat, 38 (6) (2024) 2015-2022 (IF:0.8)
32. N. Kailey, S. Sethi and V. Dhingra, Correspondence between a new pair of nondifferentiable mixed dual vector programs and higher-order generalized convexity, Opsearch, 61 (2024) 1507-1540 (Springer) (IF:1.4)

International Conferences

1. Wolfe type multiobjective second-order symmetric duality involving cone-invex functions, presented in International Conference on New Trend in Statistics and Optimization held at University of Kashmir (Oct. 20-23, 2008)
2. Multiobjective second-order nondifferentiable symmetric duality involving generalized cone-invex functions, presented in International Conference & 41st Annual Convention held at Tirupati (Dec. 15-17, 2008)
3. Nondifferentiable multiobjective second-order symmetric duality involving generalized cone F-convex functions, presented in Eighteen International Conference on Interdisciplinary Mathematical and Statistical Techniques held at Jaypee University of Information and Technology, Waknaghat, Himachal Pradesh (Aug. 2-4, 2009)
4. Higher-order duality in multiobjective programming, presented in 8th triennial Conference of Association of Asian Pacific Operational Research Society held at Jaipuriya Institute of Management, Jaipur (Dec. 6-9, 2009)
5. International Conference on Recent Advances in Optimization Theory and Applications (RAOTA) held at University of Delhi, Delhi during January 30-31, 2016.

Achievement, Awards and Recognitions

• Qualified GRADUATE APTITUDE TEST IN ENGINEERING (GATE), Conducted by Indian Institute of Technology Kanpur on behalf of the Department of Secondary and Higher Education, Ministry of Human Resource Development, Government of India in 2007 and secured 329 score and 362 All India Rank.
• Qualified UGC-NET (Eligibility for Lectureship), Conducted on behalf of University Grant Commission, New Delhi in 2010 and secured 11 Rank in the subject Mathematical Sciences.

Message to Students & Community

Never lose hope, until and unless you are not getting success.