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Fixed Point Theory, Best Proximity Point
course handled
Linear Algebra, Measure Theory and Integration, Real Analysis, Complex Analysis, Functional Analysis, Differential Calculus, Integral Calculus, Operation Research, Numerical Methods, Statistics for Business.
● M. Sankara Narayanan, M. Menaka, M Marudai, Common Fixed Point of Three Contractive Type Mappings, International Journal of Mathematics and its Applications, Vol. 5, Issue 4-A, pp. 89-94(2017).
● M. Menaka and M. Marudai, Fixed Point Theorems for weakly generalized w- contraction mappings and applications, International Journal of Mathematics and its Applications, Vol. 6, Issue 1-C, pp. 471-481(2018).
● M. Menaka, M. Marudai and M.S. Khan, Common Fixed Point for S-weakly B-Contraction Mappings, Bulletin of the Internaltional Mathematical Virtual Institute, Vol. 8, 575-586(2018).
● M.S. Khan, M. Menaka, Geno Kadwin Jacob and M. Marudai, Proximity Points for cyclic 2-convex contraction mappings, Nonlinear Functional Analysis and Applications, Vol 25, pp 1-12(2020).
● Menaka Murugesu, Common best proximity point theorem of generalized proximal weakly β quasi contractive mappings, Ganita, Vol. 73, Issue 2, pp 31-40(2023).
Achievements
● SWAYM- NPTEL online test successfully completed with Silver Elite the course “Introduction to Abstract and Linear Algebra” held on October 2022 and also NPTEL-AICTE Faculty Development Programme successfully completed as the same course.
● SWAYM- NPTEL online test successfully completed the course “Basic Real Analysis” held on May 2023.
● LateX test successfully completed on 11.06.2022 conducted by Spoken Tutorial Project at IIT Bombay and also organized in the Department of Mathematics, Srimad Andavan Arts and Science College(Autonomous), Trichy-5 by Spoken Tutorial.
Participated
● National Conference on Frontiers in Analysis and Differential Equations (NCFADE-2012) Bharathidasan University, Tiruchirappalli-620 024 held on December 19-20, 2012.
● 31st Annual conference of the Ramanujam Mathematics Society National College, Tiruchirappalli-620 001 held on June 18-21, 2016.
● National Workshop on Functional Analysis and Applications, Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024 held on 9-10, 2017.
● Three Days National Level Workshop on MATLAB for Beginners”, Srimad Andavan Arts and Science College (Autonomous), Trichy, held on 28/07/2021 to 30/07/2021.
● Virtual Workshop on “ Research Methodology and Hands on Learning”, School of Tribal Resource Management,KISS Deemed to be University,Odisha held on 02/08/2021 to 06/08/2021.
● Third National Workshop on Linear Algebra 2021 (Online), SSN College of Engineering,Kalavakkam held on 05/08/2021 to 06/08/2021.
● FDP on "Research Proposal to Patenting - A Road Map", Srimad Andavan Arts and Science College (Autonomous), Trichy held on 25/08/2021 to 27/08/2021.
● Two Days Inter Disciplinary National Conference on “Recent Trends in Mathematical Modeling, Simulation Methods, Computations & Physical Sciences (MMSCP-2021), Hislop College, Nagpur held on 08-09-2021 & 09/09/2021.
● One Week Virtual International Lecture Workshop on "New Advances in Mathematical and Computational Sciences " (NAMCS-2021), Yogi Vemana University, Kadapa held on 13/09/2021 to 18/09/2021.
● Three day online FDP on “Scopefor skill Development in Science Programmes”, Ayya Nadar Janaki Ammal College (Autonomous),Sivakasi held on 23/09/2021 to 25/09/2021.
● AICTE Training And Learning (ATAL) Academy Online Elementary FDP, Advanced Mathematical Techniques in Engineering and Technology, Maharshi Dayanand University Rohtak held on 18/10/2021 to 22/10/2021.
● Workshop on Linear Transformation and Canonical Form ,Department of Applied Mathematics, Shri Shankaracharya Technical Campus, Bhilai held on 27/11/2021.
● International Workshop on Numerical and Analytical Techniques in Engineering Problem,SRM Institute of Science and Technology, SRM Institute of Science and Technology, Kattankulathur held on 19/01/2022 to 21/01/2022.
● International Faculty Development Program on “Mathematical Programming-2022”, Department of Mathematics, PPG College Arts and Science, Coimbatore held on 20.04.2022 to 25.04.2022.
● NEP 2020 Orientation and Sensitization Programme organized by UGC-Malaviya Mission Teacher Training Center, Bharathidasan University held 22.01.2024 – 31.01.2024
● Faculty Development Program on “Pure and Applied Mathematics”, Jamal Mohamed College(Autonomuus), Trichy-20 held on 03.02.2024-09.02.2024.
● A Faculty Development Programme on “Differential Equations & Applications” organized by Vellore Institute of Technology, Chennai from 03.02.2023 to 05.02.2023.
● Five Day International Virtual Faculty Development Program on “Mathematical and its Application”, PSGR Krishnammal College for Women, Coimbatore held on 11.03.2024 – 15.03.2024.
Academic Experience:
● Assistant Professor, Department of Mathematics, Srimad Andavan Arts and Science College(Autonomous), Trichy-5. (June 2018 - 18th July 2024)
Industry Experience: Nil
Research Experience: 13 years
7 years - Research Scholar – Bharathidasan University, Trichy-24.
6 years - Assistant Professor - Srimad Andavan Arts and Science College(Autonomous), Trichy-5.
● Vijnana Parishad of India, Annual Member, 2022.
● Edwin Group of Journals, Editorial Membership, 2024.
NIL
SRM institute of Science & Technology (SRMIST) Tiruchirappalli Campus , Deemed to be University (Formerly SRM University) SRM Nagar, Trichy-Chennai highway, Near Samayapuram Trichy - 621105, Tamilnadu , India.
1800 202 4565
Academic courses
Academic courses