Shiv Kumar Gupta

**Shiv Kumar Gupta**Associate professor s.gupta@ma.iitr.ac.in +91-1332-285379

## Areas of Interest

- Optimization, Nonlinear optimization, Duality theory, Generalized convexity, Support Vector Optimization, Fuzzy mathematical programming

## Professional Background

From | Period | Position | Organisation |
---|---|---|---|

2012-01-01 | 2 years | Assistant Professor | IIT Roorkee |

2008-01-01 | 4 years | Assistant Professor | IIT Patna |

2006-01-01 | 2 years | Assistant Professor | Thapar University, Patiala |

2002-01-01 | 4 years | UGC fellow | IIT Roorkee |

## Honors and Awards

Award | Institute | Year |
---|---|---|

Outstanding teacher award, (UG category for B.Tech first year) | IIT Roorkee | 2018 |

Best teacher award | IIT Patna | 2010 |

## Educational Details

Degree | Subject | University | Year |
---|---|---|---|

PhD | Optimization (Duality theory, Generalized convexity) | IIT Roorkee | 2008 |

M.Sc. | Applied Mathematics | IIT Roorkee | 2002 |

B. Sc. | Physics, Chemistry, Mathematics | HNB Garhwal University, Srinagar | 1999 |

## Memberships

- Operational Research Society of India, Member
- Working group on generalized convexity, Member

## PHDs Supervised

Topic | Scholar Name | Status of PHD | Registration Date |
---|---|---|---|

Duality in mathematical programming under generalized convexity | Dr. N. Kailey | A | 2008-01 |

On duality in nonlinear optimization problems under crisp and fuzzy environment | Dr. D. Dangar | O | 2009-01 |

Optimality conditions and duality relations for some nonlinear programming problems | Mr. Ramu Dubey | O | 2011-01 |

On efficiency and duality for some vector optimization problems | Ms. Indra Priyadarshni | O | 2013-01 |

## Refereed Journal Papers

- T. R. Gulati,
**S. K. Gupta**, Wolfe type second-order symmetric duality in nondifferentiable programming, Journal of Mathematical Analysis and Applications, 310 (2005) 247-253 - T. R. Gulati,
**S. K. Gupta**, Higher order symmetric duality with generalized F-convexity, Journal of Mathematical Analysis and Applications, 329 (2007) 229-237 - T. R. Gulati,
**S. K. Gupta**, Second-order minimax mixed integer symmetric duality, International Journal of Operation Research, 4 (2007) 1-8 - T. R. Gulati,
**S. K. Gupta**, A note on Mond Weir type symmetric duality, Asia-Pacific Journal of Operational Research, 24 (2007) 737-74 - T. R. Gulati,
**S. K. Gupta**, I. Ahmad, Second-order symmetric duality with cone constraints, Journal of Computational and Applied Mathematics, 220 (2008) 347-354 - T. R. Gulati,
**S. K. Gupta**, Higher-order symmetric duality with cone constraints, Applied Mathematics Letters 22 (2009) 776-781 **S. K. Gupta**, N. Kailey, A note on Multiobjective symmetric duality, European Journal of Operational Research, 201 (2010) 649-651- T. R. Gulati, H. Saini,
**S. K. Gupta**, Second-order multiobjective symmetric duality with cone constraints, European Journal of Operational Research 205 (2010) 247–252 **S. K. Gupta**, N. Kailey, 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**S. K. Gupta**, N. Kailey, 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**S**.**K. Gupta**, Anurag Jaiswal, Multiobjective higher-order symmetric duality involving generalized cone-invex functions, Computers and Mathematics with Applications 60 (2010) 3187-3192**S. K. Gupta,**Debasis Dangar, Duality in Fuzzy Quadratic Programming with Exponential Membership Functions, Fuzzy Information and Engineering 4 (2010) 327-336**S. K. Gupta**, N. Kailey, Nondifferentiable multiobjective second-order symmetric duality, Optimization Letters 5 (2011) 125-139- T. R. Gulati,
**S. K. Gupta**, Nondifferentiable second-order minimax mixed integer symmetric duality, Journal of Korean Mathematical Society, 48 (2011) 13-21 - S. K. Gupta, N. Kailey, 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
- T. R. Gulati, Geeta,
**S. K. Gupta**, Nondifferentiable multiobjective symmetric dual programs over cones, Nonlinear Analysis: Theory, Methods & Applications, 74 (2011) 3861-3869 - Ravi P. Agarwal, Izhar Ahmad,
**S. K. Gupta**, A note on higher-order nondifferentiable symmetric duality in multiobjective programming, Applied Mathematics Letters, 24 (2011) 1308-1311 - Ravi P. Agarwal, Izhar Ahmad,
**S. K. Gupta**, N. Kailey, Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming, Abstract and Applied Analysis 2011 (2011), Article ID 103597, 14 pages - N. Kailey,
**S. K. Gupta**, D. Dangar, Mixed second order symmetric duality with cone constraints, Nonlinear Analysis: Real World Applications, 12 (2011) 3373-3383 - I. Ahmad,
**S. K. Gupta**, Anurag Jayswal, On sufficiency and duality for non-smooth multiobjective programming problems involving generalized V–r-invex functions, Nonlinear Analysis: Theory, Methods & Applications, 74 (2011) 5920-5928**Impact factor: 1.640** - I. Ahmad,
**S. K. Gupta**, N. Kailey, R. P. Agarwal, Duality in nondifferentiable minimax fractional programming with B-(p, r)-invexity, Journal of Inequalities and Applications, 2011, 2011:75 (30 September 2011)**Impact factor: 0.822** **S. K. Gupta**, N. Kailey, Multiobjective second-order mixed symmetric duality with a square root term, Applied Mathematics and Computation, 218 (2012) 7602-7613**Impact factor: 1.349****S. K. Gupta,**Debasis Dangar, Duality for second-order symmetric multiobjective programming with cone constraints, International Journal of Mathematics in Operational Research 4 (2012) 128-151- N. Kailey
**,****S. K. Gupta**, Nondifferentiable second-order mixed symmetric duality with cone constraints, Maejo International Journal of Science and Technology, 6 (2012) 356-371**I** **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**S. K. Gupta,**D Dangar, S. Kumar**,**Second-order duality for a nondifferentiable minimax fractional programming under generalized*α*-univexity, Journal of Inequalities and Applications 2012, 2012:187 (31 August 2012)**S. K. Gupta,**N. Kailey**,**Second-order multiobjective symmetric duality involving cone-bonvex functions**,**Journal of Global Optimization, 55 (2013) 125-140- N. Kailey
**,****S. K. Gupta**, Duality for a class of symmetric nondifferentiable mutliobjective fractional variational problems with generalized (F, alpha, rho, d)-convexity, Mathematical and Computer Modeling, 57 (2013) 1453-1465 - Debasis Dangar,
**S. K. Gupta**, On second-order duality for a class of nondifferentiable minimax fractional programming problem with (C, alpha, rho, d)-convexity, Journal of Applied Mathematics and Computing, 43 (2013) 11–30 **S. K. Gupta**, D. Dangar, Duality for a class of fuzzy nonlinear optimization problem under generalized convexity, Fuzzy Optimization and Decision Making, DOI 10.1007/s10700-013-9176-7**S. K. Gupta**, D. Dangar, On second-order duality for nondifferentiable minimax fractional programming, Journal of Computational and Applied Mathematics, 255 (2014) 878–886**S. K. Gupta**, D. Dangar, Generalized multiobjective symmetric duality under second-order (F, alpha, rho, d)-convexity, Acta Mathematicae Applicatae Sinica, English Series (Accepted for publication)- N. Kailey,
**S. K. Gupta**, Duality for mixed second-order programs with multiple arguments, Filomat 28 (2014) 397–410 **S. K. Gupta**, D. Dangar, I. Ahmad, On second order duality for nondifferentiable minimax fractional programming problems involving type-I functions, ANZIAM J. 55 (EMAC2013) (2014) C479–C494**S. K. Gupta**, D. Dangar, N. Kailey, S. Kumar, Second-Order Nondifferentiable Multiobjective Mixed Symmetric Dual Programs Over Cones, Journal of Mathematical Modelling and Algorithms in Operations Research DOI 10.1007/s10852-014-9260-1- B. Dutta,
**S. K. Gupta,**On Nash equibrium strategy of two person zero sum games with trapezoidal fuzzy payoffs, Fuzzy Information and Engineering 6 (2014) 299-314 - Indira P. Debnath,
**S. K. Gupta**, S. Kumar, Symmetric duality for a higher order nondifferentiable multiobjective programming problem, Journal of Inequalities and Applications, 2015, 2015:3 - Indira P. Debnath,
**S.K. Gupta**and I. Ahmad, A note on Strong Duality theorem for a multiobjective higher order nondifferentiable symmetric dual programs. Opsearch, 2016, 53(1), 151-156. - Sarita Sharma,
**S.K. Gupta,**Higher-order (\phi, \rho) V-invexity and duality for vector optimization problems, Rendiconti del Circolo Matematico di Palermo, 65 (2016) 351-364 - Indira P. Debnath and
**S.K. Gupta**, Duality for the class of a multiobjective problem with support functions under under K- G_{f}invexity assumptions. Bulletin of the Iranian Mathematical Society, 43 (2017) 2233-2258 - Indira P. Debnath and
**S.K. Gupta**, Efficiency and duality for a vector of quotients of curvilinear functionals on the first order jet bundle. Optimal Control, Applications and Methods, 38 (2017) 1227-1238 - I. P. Debanth,
**S. K. Gupta**, D. Dangar, Remarks on duality for second order minimax fractional programming with B-(p,r) invex functions, Opsearch, 1-6 (2017) - I. P. Debnath,
**S. K. Gupta**, Higher order duality relations for multiobjective fractional problems involving support functions, Bulletin of Malaysian Mathematical Society, 42 (2019) 1255-1279 - I. P. Debnath,
**S. K. Gupta**, Exponential membership function and duality gaps for I-fuzzy linear programming problems, Iranian Journal of Fuzzy Systems, 16 (2019) 147-163 **S. K. Gupta**, D. Dangar, I. Ahmad, S. Al-Homidan, A fuzzy multiple objective nonlinear optimization problem and its duality results, Journal of Intelligent & Fuzzy Systems, 36 (2019) 1361-1373- I. P. Debnath,
**S. K. Gupta**, The Karush-Kuhn-Tucker conditions for multiple objective fractional interval valued optimization problems, RAIRO-OPERATONS RESEARCH, DOI: 10.1051/ro/2019055 (2019)