| Research Group Title |
Nonlinear Functional Analysis |
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| Area of Research |
Nonlinear Analysis, fixed point theory, optimization, fuzzy analysis, epidomic models, soliton and fractal analysis |
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| Theme of Research / Goals |
To determine and approximate the solution of the operator equations and discuss the topology of the related spaces |
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| Faculty Members |
Dr Naeem Saleem, Dr Basit Ali, Dr. Ghulam Murtaza, Dr. Saba Mehmood |
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| Collaborating UMT Departments |
Mathematics |
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| Collaborating National Institutes |
Prof. Dr Mujahid Abbas, Director General, ASSMS, and Head of Department, GCU, Lahore, Dr Maliha Rashid, HOD, Department of Mathematics IIUI, Islamabad, Dr. Amna Kalsoom, Department of Mathematics IIUI, Islamabad, Dr Muhammad Imran Cheema, Comsats University Lahore, Dr Talat Nazir, COMSATS Abbottabad, Dr. Azhar Hussain, Chakwal University, Dr. Iram Iqbal, University of Sargodha, Sargodha |
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| Collaborating International Institutes |
Prof. Dr Stojan Radenovíc Faculty of Mechanical Engineering, University of Belgrade, Serbia, Manuel De la Sen, University of the Basque Country, Spain, Prof. Dr. Choonkil Park, Hanyang University, Korea, Dr. Mi Zhou, University of Sanya, China, Dr. Xiaolan Liu, Sichuan University of Science and Engineering, China, Dr. Andreea Fulga, Transilvania University of Brasov, Romania, Prof. Dr. Antonio Francisco Roldán López de Hierro, University of Granada, Spain, Prof. Dr. Brian Fisher, University of Leicester, England, Prof. Dr. M. S. Khan, Sultan Qaboos University, Oman, Prof. Dr. Hassen Aydi, Université de Sousse, Tunisia, Prof. Dr. Salvatore Sessa, Università Dinapoli Federico II, Italy |
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| Names of Active Senior Students |
Miss Sadia Farooq PhD student, Mr. Bilal Iqbal PhD student, Miss SaimaKanwal PhD student |
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| Short Description of the Research Theme |
In this area of research we try to find or approximate the solution of the operator equations, under certain contractive conditions in several distance spaces. Further, we apply the obtained result to find the geometrical pattern of the solutions of the different operator equations like differential, integral equations and inclusions. |
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| SDGs Covered |
SDG4, SDG9 |
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| List of 5 relevant publications: |
- Farooq, S., Saleem, N., Aphane, M., & Althobaiti, A. (2025). Common φ-Fixed Point Results for S-Operator Pair in Symmetric M-Metric Spaces. Symmetry, 17(2), 254.
- Iqbal, B., Saleem, N., Aphane, M., & Razzaque, A. (2025). Fixed point results for ℑ-Contractions in JS-generalized metric spaces with an application. PloS one, 20(2), e0314493.
- Farooq, S., Saleem, N., Aphane, M., & Althobaiti, A. (2025). Common φ-Fixed Point Results for S-Operator Pair in Symmetric M-Metric Spaces. Symmetry, 17(2), 254.
- Farooq, S., Saleem, N., Aphane, M., & Althobaiti, A. (2025). Common φ-Fixed Point Results for S-Operator Pair in Symmetric M-Metric Spaces. Symmetry, 17(2), 254.
- Iqbal, B., Saleem, N., Aphane, M., & Razzaque, A. (2025). Fixed point results for ℑ-Contractions in JS-generalized metric spaces with an application. PloS one, 20(2), e0314493. A Relaxed Bi-inertial Method for Solving Split Variational Inequalities with Multiple Output Sets
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