Department of Mathematics – Research Publications from 2015 to till date

• Gunaseelan Mani, Lakshmi Narayanan Mishra and Vishnu Narayanan Mishra, 2022. Common fixed point theorems in complex partial b-metric space with an application to integral equations. Advanced Studies: Euro-Tbilisi Mathematical Journal, 15(1): 129-149. DOI: https://doi.org/10.3251/asetmj/19322008209
• Gunaseelan Mani, A. Leema Maria Prakasam, Lakshmi Narayan Mishra and Vishnu Narayan Mishra, 2021. Application and fixed point theorems for orthogonal generalized F-contraction mappings on O- complete metric space. Nonlinear Functional Analysis and Applications, 26(5): 903-915. DOI: https://doi.org/10.22771/nfaa.2021.26.05.03
• M. Gunaseelan, M. S. Khan,Y. Mahendra Singh and Kenan Tas, 2022. Coupled fixed points in complex partial metric spaces. Journal of Mathematics and Computer Science, 25(1): 91-102. DOI: http://dx.doi.org/10.22436/jmcs.025.01.08
• Arul Joseph Gnanaprakasam, Gunaseelan Mani, Jung Rye Lee and Choonkil Park, 2022. Solving a nonlinear integral equation via orthogonal metric space. AIMS Mathematics, 7(1): 1198-1210. DOI: http://dx.doi.org/10.3934/math.2022070
• Zhaohui Gu, Gunaseelan Mani, Arul Joseph Gnanaprakasam and Yongjin Li, 2021. Solving a system of nonlinear integral equations via common fixed point theorems on bicomplex partial metric space, Mathematics, 9(14): 1584. DOI: https://doi.org/10.3390/math9141584
• Ismat Beg, Gunaseelan Mani and Arul Joseph Gnanaprakasam, 2021. Best proximity point of generalized F-proximal non-self contractions. Journal of Fixed Point Theory and Applications, 23:49. DOI: https://doi.org/10.1007/s11784-021-00886-w
• Ismat Beg, Gunaseelan Mani and Arul Joseph Gnanaprakasam, 2021, Fixed point of orthogonal F-suzuki contraction mapping on O-complete b-metric spaces with applications. Journal of Function Spaces, 2021: Article ID 6692112. DOI: https://doi.org/10.1155/2021/6692112
• Gunaseelan Mani, Arul Joseph Gnanaprakasam, Yongjin Li and Zhaohui Gu, 2021. The existence and uniquenes solution of nonlinear integral equations via common fixed point theorems. Mathematics, 9(11): 1179. DOI: https://doi.org/10.3390/math9111179
• Gunaseelan Mani, Arul Joseph Gnanaprakasam, Ramakrishnan Kalaichelvan and Yae Ulrich Gaba, 2021. Results on complex partial b-metric space with an application. Mathematical Problems in Engineering, 2021: Article ID 5565470. DOI: https://doi.org/10.1155/2021/5565470
• Gunaseelan Mani, Arul Joseph Gnanaprakasam, Nasreen Kausar, Mohammad Munir and Salahuddin, 2021. Orthogonal F-contraction mapping on O-complete metric space with applications. International Journal of Fuzzy Logic and Intelligent Systems, 21(3): 243-250. DOI: https://doi.org/10.5391/IJFIS.2021.21.3.243
• Gunaseelan Mani, Arul Joseph Gnanaprakasam, Lakshmi Narayan Mishra and Vishnu Narayan Mishra, 2021. Fixed point theorems for orthogonal F-Suzuki contraction mappings on O-complete metric space with an application. Malaya Journal of Matematik, 9(1): 369-377. DOI: https://doi.org/10.26637/MJM0901/0062
• Gunaseelan Mani, Arul Joseph Gnanaprakasam, Jung Rye Lee and Choonkil Park, 2021. Solution of integral equations via coupled fixed point theorems in 𝔉-complete metric spaces. Open Mathematics, 19: 1223-1230. DOI: https://doi.org/10.1515/math-2021-0075
• Gunaseelan Mani, Arul Joseph Gnanaprakasam, Choonkil Park and Sungsik Yun, 2021. Orthogonal F-contractions on O-complete b-metric space. AIMS Mathematics, 6(8): 8315-8330. DOI: https://doi.org/10.3934/math.2021481
• Arul Joseph Gnanaprakasam, Salah Mahmoud Boulaaras, Gunaseelan Mani, Mohamed Abdalla and Asma Alharbi, 2021. Solving integral equations by common fixed point theorems on complex partial b-metric spaces. Journal of Function Spaces (special issue), 2021: Article ID 3856468. DOI: https://doi.org/10.1155/2021/3856468
• Gunaseelan Mani, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, Imran Abbas Baloch and Manuel De La Sen, 2020. Application to coupled fixed-point theorems on complex partial b-metric space. Journal of Mathematics, 2020: Article ID 8881859. DOI: https://doi.org/10.1155/2020/8881859
• Leema Maria Prakasam and M. Gunaseelan, 2020. Common fixed point theorems using CLR and E.A. properties in complex partial b – metric space. Advances in Mathematics: Scientific Journal, 9(5): 2773–2790. DOI: https://doi.org/10.37418/amsj.9.5.39