Specialization

Functional Analysis, Fourier Analysis, Fixed Point Theory, Differential Geometry, Reliability Theory.

Email

ssbhatia@thapar.edu

Email: ssbhatia@thapar.edu

Dr. S. S. Bhatia is Head of School of Humanities and Social Sciences. Apart from this he is a professor in the department of Mathematics at Thapar Institute of Engineering & Technology, Patiala, with 38 years of teaching experience across UG and PG levels. He holds an M.Sc., M.Phil., and Ph.D. in Mathematics from M.D. University, Rohtak, specializing in Functional Analysis, Fourier Analysis, Fixed Point Theory, Differential Geometry, and Reliability Theory. With 89 research publications in total in national and international journals, he has guided 16 scholars for their Ph.D. degree. He has successfully completed multiple UGC-funded major research projects. He is a life member of several professional societies including Punjab Academy of Sciences, Indian Society of Industrial and Applied Mathematics, and Indian Society of Technical Education. He has held key administrative positions including Head of department of Mathematics (2007-13), Dean of Academic Affairs (2014-2022), Controller of Examinations (2022-2025), and presently Head of school of Humanities and Social Science (2025-). His extensive contributions span academics, research, administration, and institutional development.

List of Recent Publications

• Kaur, S., Kaur, J., & Bhatia, S. S. (2018). Extensions of Móricz classes and convergence of trigonometric sine series in L1-norm. Mathematics, 6(12), Article 292. https://doi.org/10.3390/math6120292
• Kaur, S., Kaur, J., & Bhatia, S. S. (2018). Convergence and summability of Fourier sine and cosine series with its applications. Proceedings of the National Academy of Sciences, India, Section A: Physical Sciences, 89, 141–148. https://doi.org/10.1007/s40010-017-0471-5

• Jain, K., Kaur, J., & Bhatia, S. S. (2022). A generalization of GP-metric space and generalized Gb-metric space and related fixed point results. Journal of Mathematical and Computational Science, 12, Article 132. https://doi.org/10.28919/jmcs/7294
• Jain, K., Kaur, J., & Bhatia, S. S. (2023). Fixed points of ξ-(α, β) contractive mappings in b-metric spaces. Journal of Advances in Mathematics and Computer Science, 38, 6–15.
• Jain, V., Bhatia, S. S., & Kumar, R. (2023). Induced Ricci type tensors of GCR-lightlike submanifolds of indefinite Sasakian manifolds. Palestine Journal of Mathematics, 12(2), 371–382.
• Maini, R., Gupta, G., Kumar, R., Sachdeva, R., Rani, R., & Bhatia, S. S. (2023). A study of conformal Riemannian maps whose total manifold admits a Yamabe soliton. International Journal of Geometric Methods in Modern Physics, 20(11), Article 2350186.
• Rani, B., Kaur, J., & Bhatia, S. S. (2023). β-σ-Geraghty type contraction mapping and fixed point results in generalized Gb-metric space. Advances in Fixed Point Theory, 13, Article 20.
• Gill, S. K., Kaur, J., & Bhatia, S. S. (2023). On L1-convergence of modified complex trigonometric sums with new generalized classes. Bulletin of Mathematical Analysis and Applications, 15, 43–52.
• Shahi, P., & Bhatia, S. S. (2024). Common fixed points via tri-simulation function in metric spaces. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 31, 187–197.
• Gill, S. K., Kaur, J., & Bhatia, S. S. (2024). Classes of L1-convergence of Fourier series. South East Asian Journal of Mathematics and Mathematical Sciences, 20(1), 457–468.
• Rani, B., Kaur, J., & Bhatia, S. S. (2024). Convergence and stability of a new three-step iterative technique in convex metric space. South East Asian Journal of Mathematics and Mathematical Sciences, 20(2), 323–332.
• Rani, B., Kaur, J., & Bhatia, S. S. (2024). Approximating fixed points via hybrid enriched contractions in convex metric space with an application. Axioms, 13(12), Article 815.
• Shahi, P., Kaur, J., & Bhatia, S. S. (2024). Fixed point results for (ψ, φ)-contractive mapping in GF-metric space. Ratio Mathematica, 51, 1–27.