Fluid Dynamics, Approximation  theory and fixed point theory

A: Papers in referred journals

1. R. K. Dubey and R. P. Pathak, “Steady flow of a viscous incompressible fluid in a uniform straight tube whose cross-section is a hyperbolic segment” Indian Journal of theoretical Physics , Vol.28,No.3,(1980) pp.239-245.
2. R.P. Pathak and R. K. Dubey, “Flow of visco-elastic rivlin ericksen fluids through rectilinear ducts having there cross-sections as parallelograms with pressure gradient as any function of time” Agra university Journal of Research (Science) Vol.XXIX.Pt.III, September, (1980) pp. 77-80.
3. Dr. R.P. Pathak, “A note on unsteady flow of a dusty viscous fluid through hexagonal duct”, ISOR Journal of Mathematics,Vol. 1, Issue 1, May- June -2012 , page no. 44-49.
4. Dr. R.P. Pathak ,  “Heat  transfer due to the Exponential rate of heat addition super-posed on Steady temprerature of visco-elastic Rivlin Ericksen Fluid Between two Confocal Eliptic Cylinders”  , CSVTU Research Journal , Vol. 5, (2012) pp.19-21.
5.  R.P. Pathak, Urmila Mishra and Rashmi, “Common fixed point of absorbing mappings satisfying Lipschitz type contractive condition”International Journal of Pure and Applied Mathematics,Vol.77 No.2 (2012) pp.245-253.
6. Hemant  Kumar Nashine,Zoran Kadelburg, R. P. Pathak and Stojan Radenovic, “Coincidence and fixed point results in ordered G-cone matric spaces”, Mathematical and Computer Modelling 57(2013),pp.701-709.
7. Dr. R.P. Pathak and Shiv Kumar Sahoo,  “Some approximation results on Otto Szazs  type positive linear operators” , ISOR Journal of Mathematics,Vol. 1, Issue 1, May- June -2012 , page no. 50-54.
8. Dr. R.P. Pathak and  Shiv Kumar Sahoo,  “Some approximation results on  Basakakov type special class of positive linear operators”  ,IJSRP   , Vol. 2, Issue 7, July -2012 , page no. 01-04.
9. Dr. R.P. Pathak and Shiv Kumar Sahoo,  “Some approximation results on modified Basakakov type special class of positive linear operators”  , IJSER , Vol. 3, Issue 7, July -2012 , page no. 01-04.
10. Dr. R.P. Pathak and Shiv Kumar Sahoo,  “Some approximation results on positive linear operators” , CSVTU Research Journal , Vol. 5,(2012)pp.10-13.
11. Dr. R.P. Pathak and Shiv Kumar Sahoo,  “Some results on Derivatives of Generalized Modified Baskakov Type Operators (C)”, IJCST, Vol. 3, Issue 3,(July-September 2012).
12. Dr. R.P. Pathak, Shiv Kumar Sahoo and Ashish Kumar Tiwari,  “Some results on Derivatives of Generalized Modified Baskakov Type Operators (A)”, IJECCE, Vol. 3, Issue 4,July-2012.
13. Dr. R.P. Pathak, Shiv Kumar Sahoo and Ashish Kumar Tiwari,  “Some approximation results on modified Basakakov type special class of positive linear operators”  , Research Hunt Journal ,Vol. VII, Issue III, May- June -2012 , page no. 111-119.
14. Dr. R.P. Pathak, Shiv Kumar Sahoo, and Ashish Kumar Tiwari,   “Some approximation results on modified Szậsz type positive linear operators”, Acta Ciencia Indic , Meerut, vol.39, no.4 pp397-405, (2013).
15. Dr. R.P. Pathak, Shiv Kumar Sahoo ,  “Some results on Derivatives of Generalized Modified Baskakov Type Operators (B)”, Acta Ciencia Indica , Meerut vol.39, no.4 pp.431-435. (2013).
16. Dr. R.P. Pathak, and Shiv Kumar Sahoo, “444 mathematical Models on cities waste  Material Management System” Proceedings of ICQM 2014. vol. 75, pp. 167-171, (2014).

B: List of papers presented in conferences and abstract published:

1. Dr. R. P. Pathak  and  Shiv Kumar Sahoo , “Korovkin’s-type Theorems on  Modified positive linear  operators”, The rich heritage of Mathematics in India, NSRHMI-12, Oct 26-27, 2012.
2. Dr. R. P. Pathak  and  Shiv Kumar Sahoo , “Korovkin’s-type Theorems on  Modified Baskakov positive linear  operators”,40th annual conference of Orissa mathematical society and national conference on Fourier analysis and differential equations,  Sambalpur University, Odisha, India.
3. Dr. R. P. Pathak  and  Shiv Kumar Sahoo , “Korovkin’s-type Theorems on  Modified Bernstein-type positive linear  operators”, National conference on Computational and Applied Mathematics in Science and Engineering(CAMSE-2012), National Institute of Technology, Nagpur (Maharashtra) India.