Area of Research

• Nonlinear Functional Analysis and Game Theory

Research Interest

• Existence results for Quasi-variational Inequality Problems
• Applications to Optimization Problems, Equilibrium Problems and Electricity Market Models.
• Set-Valued Fixed Point Theory and its Applications

Education

• PhD, Indian Institute of Technology Madras, 2015
• M.Sc., Indian Institute of Technology Guwahati, 2011
• B.Sc., Bethune College, University of Calcutta, 2009

Courses Taught

• MAL101: Matheamtics-II
• MA507: Topology
• MA612: Set-Valued Analysis
• MA501: Linear Algebra
• MA1150: Ordinary Differential Equations
• IC105: Probability and Statistics
• MA500: Real Analysis
• MA605: Operations Research

Academic Experience

• Dec 2017-Current: Assistant Professor, Indian Institute of Technology Bhilai, Chhattisgarh, India.
• May 2017-Dec 2017: Assistant Professor, BITS Pilani, Hyderabad Campus, Hyderabad, India.
• Jan 2017-May 2017: Assistant Professor, School of Mathematics and Statistics, University of Hyderabad, Hyderabad, India.
• Sept 2016-Nov 2016: Visiting Researcher, Indian Institute of Technology Madras, Chennai, India.
• Oct 2015-July 2016: Post-doc in Mathematics, Lab. PROMES UPR CNRS 8521, Université de Perpignan Via Domitia, Perpignan, France.

Selected Publications

1. Finite Convergence Criteria for Normalized Nash Equilibrium through Weak Sharpness and Linear Conditioning, A. Sultana and S. Valecha, Applied Set-Valued Analysis and Optimization 7 (2025) 165-177.
2. Mizoguchi-Takahashi local contractions to Feng-Liu contractions, P. Maiti and A. Sultana, Applied General Topology 25 (2024) 321-329.
3. Best proximity points of set-valued generalized contractions, A. Sultana, Fixed Point Theory 24 (2023) 383-392.
4. On common fixed points for set-valued generalized contractions on a metric space with graphical structure, P. Maiti and A. Sultana, Filomat 37 (2023) 3671-3679.
5. Existence results for quasi-variational inequalities with applications to Radner equilibrium problems, D. Aussel, M.B. Donato, M. Milasi and A. Sultana, Set-Valued and Variational Analysis 29 (2021) 931–948.
6. On the equivalence of the Mizoguchi-Takahashi locally contractive map and the Nadler’s locally contractive map, Asrifa Sultana and X. Qin, Numerical Functional Analysis and Optimization (2019) doi.org/10.1080/01630563.2019.1658603.
7. Quasi-variational inequality problems with non-compact valued constraint maps, D. Aussel and Asrifa Sultana, Journal of Mathematical Analysis and Applications 456 (2017) 1482-1494.
8. An extension of set-valued contraction principle for mappings on a metric space with a graph, Asrifa Sultana and V. Vetrivel, Numerical Functional Analysis and Optimization 38 (2017) 1060-1068.
9. Best proximity points of contractive mappings on a metric space with a graph and applications, Asrifa Sultana and V. Vetrivel, Applied General Topology 18 (2017) 13-21.
10. On the existence of projected solutions of quasi-variational inequalities and generalized Nash equilibrium problem, D. Aussel, Asrifa Sultana and V. Vetrivel, Journal of Optimization Theory and Applications 170 (2016) 818-837.
11. Fixed points of Mizoguchi-Takahashi contraction on a metric space with a graph and applications, Asrifa Sultana and V. Vetrivel, Journal of Mathematical Analysis and Applications 417 (2014) 336-344.
12. On the existence of best proximity points for generalized contractions, Asrifa Sultana and V. Vetrivel, Applied General Topology 15 (2014) 55-63.

Research Projects

• New Approaches of the Optimal Design of Eco-Industrial Parks: Multi-Leader- Follower-Game approach and Projected Solutions, Indian PI - Asrifa Sultana and French PI - Didier Aussel, Collaborative Research Project, CEFIPRA, 2024-2027.
• Generalized Nash Games with Non-Compact Strategy Sets, PI - Asrifa Sultana, MATRICS, SERB, 2022-2025.
• Evolutionary variational inequalities and its applications to Nash equilibrium problems, PI - Asrifa Sultana, VRITIKA, SERB, 2021.

PhD Thesis Guided

• Mr Pallab Maiti, Thesis defended, 2023.
• Ms Shivani Valecha, Thesis submitted, 2025.

Administrative Responsibilty

• Convener, Department Post-Graduate Committee, IIT Bhilai, April 2018-August 2020.
• Public Grievance Officer, IIT Bhilai, July 2019- July 2023.
• Chairperson, Internal Complaint Committee, IIT Bhilai, July 2019- July 2023.
• Warden, Girls Hostel, IIT Bhilai, Dec 2017-August 2018.

Organized Workshop/Seminar/Conference

• Local organizer and coordinator, IWM Regional Workshop on Research and Opportunities, IIT Bhilai, February 21, 2021.

Awards

• SERB Overseas Postdoctoral Fellowship (Not availed), 2017.
• Best Thesis Award, 53rd Convocation, Indian Institute of Technology Madras, 2016.
• Post-doctoral Fellowship, Erasmus Mundus Euphrates Programme, 2015.
• Qualified CSIR-JRF in the Joint CSIR-UGC National Level Test in Mathematics with All India Rank of 80, 2011.
• Qualified GATE, National Level Test in Mathematics with All India Rank of 130, 2011.