Research Publication

Indira P. Debnath, S. K. Gupta and S. Kumar Symmetric duality for a higher-order nondifferentiable multiobjective programming problem , Journal of Inequalities and Applications, Vol 3, (2015) pp.1-12,(Springer Publication)

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, Vol. 53 (2016), No. 1, pp. 151-156, (Springer Publication)

Indira P. Debnath and S. K. Gupta  Efficiency and duality for a vector of quotients of curvilinear functional on the first-order jet bundle , Optimal Control Applications and Methods, vol. 0 (2017), pp 1-12 (Wiley Publication)

Indira P. Debnath and S. K. Gupta Higher-Order duality relations for multiobjective fractional problems involving support functions, Bulletin of Malaysian Mathematical Sciences Society, Vol 42 (2017), No. 3 pp1255-1279 (Springer Publication)

Indira P. Debnath and S. K. Gupta  Duality for the class of a multiobjective problem with support functions under K  G f invexity assumptions, Bulletin of Iranian Mathematical Society, Vol 43 (2017), pp. 2233– 2258, (Iranian Mathematical Society Publication)

S. K. Gupta, R. Dubey and Indira P. Debnath Second –order multiobjective programming problems and symmetric duality relations with G f -bonvexity, Opsearch, Vol. 54 (2017), No. 2, pp. 365-387, (Springer Publication)

Indira P. Debnath, S. K. Gupta and D. Dangar  Remarks on duality for second order minimax fractional programming with B(p,r)-invex functions, Opsearch, Vol. 55 (2018), No. 1, pp. 196-201, (Springer Publication)

Indira P. Debnath and S. K. Gupta Exponential membership function and duality gaps for I-fuzzy linear programming problems, Iranian Journal of Fuzzy Systems, Vol. 16 (2019), No. 2, pp. 147-163, (University of Sistan and Baluchistan Publication)

Indira P. Debnath and S. K. Gupta The Karush-Kuhn-Tucker conditions for multiple objective fractional interval valued optimization problems , Rairo-Operations Research, Vol. 54 (2020), No. 4, pp. 1161–1188, (EDP Sciences Publication).

Indira P. Debnath and Nisha Pokharna  ON OPTIMALITY AND DUALITY IN INTERVAL-VALUED VARIATIONAL PROBLEM WITH B-(p,r)-INVEXITY ,  RAIRO-Operations Research, Vol. 55 (2021), No. 3, pp. 1909 - 1932,  (EDP Sciences Publication).

Indira P. Debnath and X. Qin  ROBUST OPTIMALITY AND DUALITY FOR MINIMAX FRACTIONAL PROGRAMMING PROBLEMS WITH SUPPORT FUNCTIONS ,  J. Nonlinear Funct. Anal. (2021), Article ID 5,  (Mathematical Research Press (Mathres)).

Nisha Pokharna and Indira P. Tripathi Optimality and duality for E-minimax fractional programming: application to multiobjective optimization, Journal of Applied Mathematics and Computing, (2023). 1-28, https://doi.org/10.1007/s12190-023-01838-y  (Springer Publication).

Pokharna, N., & Tripathi, I. P. (2023). E-Optimality and E-duality results for multiobjective variational problems and application to the cake-eating problem. Journal of Industrial and Management Optimization, 20(5), 1867-1896. https://doi.org/10.3934/jimo.2023146

Pokharna, N., & Tripathi, I. P. (2024). On multiobjective interval-valued problems involving symmetric LU-pseudoconvexity. OPSEARCH, 1-30. https://doi.org/10.1007/s12597-024-00870-1

Pokharna, N., & Tripathi, I. P. (2024).  A sublinear functional based approximated equivalence to optimality and duality for multiobjective programming in complex spaces. Journal of Computational and Applied Mathematics, 446, 115860.

Tripathi, I. P.,  & Arora, M. A. (2024) . Robust optimality conditions for semi-infinite equilibrium problems involving data uncertainty. Journal  of Applied Mathematics and Computing, 70, 2641-2664. 

Tripathi, I. P.,  & Arora, M. A. (2024) . Fractional semi-infinite programming problems: Optimality conditions and duality via tangential subdifferentials. Computational and Applied Mathematics, 43, 388.

Pokharna, N., & Tripathi, I. P. (2025).  Optimality  in interval fractional programming problems using d-invexity. Iranian Journal of Fuzzy Systems, 22 (1), 71-91.

Pokharna, N., & Tripathi, I. P. (2025).  A generalized division approach for interval fractional programming problems. Applied Mathematical Modelling, 144, 116048.

 Pokharna, N., & Tripathi, I. P. (2025). On Interval-valued Value Function for Fractional Optimization problems. Results in Mathematics, 80:113, 1-38.

 Arora, M. A., & Tripathi, I. P. (2025). Semi-infinite vanishing constraints problem with convexificators and optimality analysis. Computational and Applied Mathematics, 44:336, 1-29.