Faculty Profile

Academic Qualifications

1.B.Sc., in Mathematics from Sacred Heart College, Tirupattur (Affiliated to University of Madras), Tamil Nadu, India.

2.M.Sc., in Mathematics from Voorhees College, Vellore (Affiliated to University of Madras),Tamil Nadu, India.

3.M.Phil., in Mathematics from Madurai Kamaraj University, Tamil Nadu, India.

4.Qualified in CSIR/UGC-NET for Lectureship in Mathematical Sciences in December 2005

5.• Ph.D., in Mathematics from Thiruvalluvar University, Tamil Nadu, India in May 2015

About the faculty

Research Projects: 2

1.Completed a minor research project entitled “A Study on Ulam Stability of Functional Equations in rational type”, funded by UGC, SERO, Hyderabad, India. [Ref. No. F.MRP-6726/16 (SERO-UGC) and 30.06.2017, Project amount: Rs. 1,85,000]

2. Completed a funded research project entitled “Applications and Stabilities of Various Multiplicative Inverse Functional Equations”, funded by The Research Council, Oman. [Project proposal ID: BFP/RGP/CBS/18/099, Project amount: 1100 Oman Riyal]

Publication of Textbooks: 05

1.Co-authored a book entitled “Probability & Queueing Theory”, published by KKS Publishers, Chennai, India, 2012.

2.Co-authored a book entitled “Functional Equations Inequalities: Solutions and Stability results”, published by World Scientific Publishing Company, Singapore, 2017 (ISBN:978-981-3147-60-7)

3.Co-authored a book entitled “Various Stabilities of Rational Functional Equations”, published by Lambert Academic Publishing (ISBN:978-3-330-33252-2).

4.Co-authored a book entitled “Discrete Mathematical Structures-A Succinct Introduction”, published by CRC Press, Taylor & Francis Group, London, UK, 2019.

5.Co-authored a book entitled “Multiplicative Inverse Functional Equations: Theory and Applications”, published by Springer, Cham, 2020 (ISBN: 978-3-030-45354-1)

Contribution of Book Chapters: 05

1.Contributed a Chapter entitled “Various Ulam–Hyers Stabilities of Euler–Lagrange–Jensen General (a, b; k = a + b)-Sextic Functional Equations”, Mathematical Analysis and Applications, Chapter 10, John Wiley & Sons, 2018 (ISBN: 9781119414308).

2.Contributed a Chapter entitled “Fundamental Stabilities of Various Forms of Complex Valued Functional Equations”, Applied Mathematical Analysis: Theory, Methods and Applications, Springer Nature Switzerland AG, 2020, pp. 29-59.

3.Contributed a Chapter entitled “Stabilities of MIQD and MIQA Functional Equations via Fixed Point Technique”, Frontiers in Functional Equations and Analytic Inequalities, Springer, New York. (Chapter in production in press).

4.Contributed a Chapter entitled “Fundamental Stabilities of Various Forms of Complex Valued Functional Equations”, in: Applied Mathematical Analysis: Theory, Methods and Applications, Springer Nature Switzerland AG, 2020, 29-59. (Scopus indexed)Contributed a Chapter entitled “Significances and Relevances of Functional Equations in Various Fields”, in: Topics in Contemporary Mathematical Analysis and Applications, CRC Press, Taylor & Francis Group, Chapter 11, 2021, 281-298.

Reviewer-Referee

Filomat, Demonstratio Mathematica, Applied Mathematics and Information Sciences, Information Sciences Letters, Miskolc Mathematical Notes, Caspian Journal of Mathematics, Indagationes Mathematicae, Advances in Difference Equations, AIEC, a strategic partner of world-leading publishing houses, including IEEE, Springer, Elsevier, Wiley, IOP, EDP, ASME, SAGE, SPIE, Taylor & Francis Group, American Scientific Publishing, DESitech Publications, TTP and Atlantic Press, International Journal of Nonlinear Analysis and Applications, Boletim da Sociedade Paranaense de Matemática, Journal of Inequalities and Applications, Journal of Mahani Mathematical Research, Mathematics, Symmetry.