All Projects

1. Project Title: Degree of Approximation by product - summability of Fourier series of a function belonging to Lipschitz class (Seed grant received in July 2016 from VSSUT, Burla, and completed in 2017)
2. Fekete-Szeogo Problem on Certain Class of Analytic Functions. TEQIP, (2016-17)
3. FAST track research project in Mathematical Sciences from Science and Engineering Research Board (SERB), Government of India for a period of 3 years (2014-2017) Completed
4. Core Research Grant (CRG) from Science and Engineering Research Board (SERB), Government of India for a period of 3 years (2023-2026)
5. NIL
6. S.K. Padhan, C. Nahak and R.N. Mohapatra, Second and higher order duality in Banach space under invexity, Nonlinear Anal. Hybrid Syst., 5 (2011), 457-466. I.F. 3.963
7. S.K. Padhan and C. Nahak, Second and higher order generalized invexity and duality in mathematical programming, Int. J. Math. Oper. Res. 5(2) (2013), 170-182.
8. S.K. Padhan and C. Nahak, Higher-order generalized invexity in variational problems, Math. Meth. Appl. Sci., 36 (11) (2013) 1334-1341. I.F. 1.017
9. S.K. Padhan and C. Nahak, Higher-order symmetric duality with higher-order generalized invexity, J. Appl. Math. Comput. 36 (2015) 1334-1341.
10. A.K. Bhurjee and S.K. Padhan, Optimality conditions and duality results for non-differentiable interval optimization problems, Journal of Applied Mathematics and Computing, 50 (2016) 59-71.
11. S.K. Padhan, S. Gadtia and A.K. Pattanaik, Remarks on Heron’s cubic root iteration formula, Bol. Soc. Paran. Mat., 35 (2017) 1-8.
12. S.K. Padhan, S. Gadtia and B. Bhoi, FPGA based implementation for extracting the roots of real number, Alexandria Engineering Journal, 55 (2017) 2849-2854.
13. P.K. Behera, S.K. Padhan and R.N. Mohapatra, On variational control problems in Banach Spaces, Panamer. Math. J., 28 (2018) 1-18.
14. J. Dasmahapatra and S.K. Padhan, Second order duality for mathematical programming involving n-set functions, Bol. Soc. Paran. Mat., 37 (2019) 37- 54
15. S.K. Padhan and C. Nahak, Second order duality for the variational problems under invexity, Comput. Math. Appl., 60 (2010) 3072-3081. I.F. 1.531
16. S.K. Padhan and C. Nahak, Higher-order symmetric duality in multiobjective Programming problems under higher-order invexity, Appl. Math. Comput., 5 (2011) 1705-1712. I.F. 1.738
17. S. K. Padhan, G.V.V. Jagannadha Rao, Hemant Kumar Nashine and R. P. Agarwal, Some fixed point results for (β-ψ_1-ψ_2)-contractive conditions in ordered b-metric- like spaces, Filomat, 31(14) (2017), 4587-4612. I.F. 0.69
18. S.K. Padhan and C. Nahak, Third order duality in nonlinear programming problems, 4OR. A Quarterly Journal of Operations Research, 15 (2017)93-105. I.F. 1.6
19. S.K. Padhan, Duality of variational problems with a new approach, RAIRO- Oper. Res., 52 (2018) 79-93. I.F. 0.55
20. S.K. Padhan and C. Nahak, Symmetric duality with generalized invexity in variational problems, Journal of Orissa Mathematical Society, 27 (2008), 81-86.
21. G. V. V. Jagannadha Rao, S. K. Padhan and M. Postolache, Application of Fixed Point Results on Rational F-Contraction Mappings to Solve Boundary Value Problems, Symmetry 11 (2019) 1-20.
22. J. Dasmahapatra and S.K. Padhan, Second order duality for mathematical programming involving n-set functions, Bol. Soc. Paran. Mat., 37 (2019) 37-54.
23. S. Gadtia, S.K. Padhan and B. Bhoi, Square root formulae in the ?ulbas?tras and Bakhshãl? manuscript, Journal of Interdisciplinary Mathematics, 20 , (2020) 1-10.
24. P.K. Behera, S.K. Padhan and C. Nahak, Duality of control problems in general Banach spaces, International Journal of Operational Research, 42 , (2021) 358-370.
25. G. Biswal, N. Behera, S.K. Padhan and R.N. Mohapatra, Third order symmetric duality in variational problems, Pan-American Mathematical Journal, 4 , (2021) 19-30.
26. S. Gadtia and S.K. Padhan, A note on machine method for root extraction, Boletim da Sociedade Paranaense de Matemática, 40 , (2022) 1-6.
27. A. Patnaik, S.K. Padhan and R.N. Mohapatra, Sufficient conditions for extremum of fractional variational problems, RAIRO - Operations Research, 56 (2022) 637-648.
28. G. Biswal, N. Behera, R.N. Mohapatra and S.K. Padhan, A pair of Mond–Weir type third order symmetric duality, Journal of Applied Mathematics and Computing, 69 (2023) 3391-3402.