| Research Group Title |
Nonlinear Functional Analysis |
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| Area of Research |
Nonlinear Analysis, fixed point theory, optimization, fuzzy analysis, epidemic models, soliton and fractal analysis |
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| Theme of Research / Goals |
Solution and approximation of the solution of operator equations, topology, study of spaces |
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| Faculty Members |
Dr. Naeem Saleem, Dr. Basit Ali, Dr. Ghulam Murtaza |
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| Collaborating UMT Departments |
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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 Abbotabad,
- Dr. Azhar Hussain, Chakwal University, chakwal,
- 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, Kraljice Marije 16, 11120, Beograd 35, Serbia,
- Prof. Dr Manuel De la Sen, Institute of Research and Development of Processes, University of the Basque Country, Campus of Leioa (Bizkaia), Barrio Sarriena, P.O. Box 644, Bilbao, 48940, Spain,
- Prof. Dr. Choonkil Park, Research Institute for Natural Sciences, Hanyang University, Seoul, Korea,
- Dr. Mi Zhou, School of Science and Technology, University of Sanya, Sanya 572022, China,
- Dr. Xiaolan Liu, College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China,
- Dr. Andreea Fulga, Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania,
- Prof. Dr. Antonio Francisco Roldán López de Hierro, Department of Statistics and Operations Research, University of Granada, 18071 Granada, Spain,
- Prof. Dr. Brian Fisher, Department of Mathematics, University of Leicester, Leicester, England,
- Prof. Dr. M. S. Khan, Department of Mathematics & Statistics, Sultan Qaboos University, P.O.Box 36, Al-Khoud 123,Muscat, Sultanate of Oman,
- Prof. Dr. Hassen Aydi, Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse, 4000, Tunisia,
- Prof. Dr. Salvatore Sessa, Dipartimento di Architettura, Università Dinapoli Federico II, Via Toledo 403, 80121 Napoli, Italy
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| Names of Active Senior Students |
Mr. Salman Furqan PhD student, 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 researach 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 gemetrical pattern of the solutions of the different operator equations like differential, integral equaltions and inclusions. |
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| SDGs Covered |
SDG#1 Quality Education, SDG#9 Industry, Innovation, and Infrastructure |
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| List of 5 Relevant Publications |
- Khair ul habib alam, Yumnam Rohen, Naeem Saleem, Maggie Aphene, Asima Razzaque On escape criterion of an orbit with s−convexity and illustrations of the behavior shifts in Mandelbrot and Julia set fractalshttps://journals.plos.org/plosone/article?id=10.1371/journal.pone.0312197
- Zhou, Mi, Li, Guohui, Saleem, Naeem, Popescu, Ovidiu and Secelean, Nicolae Adrian. "Fixed point results for generalized convex orbital Lipschitz operators" Demonstratio Mathematica, vol. 57, no. 1, 2024, pp. 20240082. https://doi.org/10.1515/dema-2024-0082
- Saleem, Naeem, Yildirim, Isa, Gursac, Nilay, Hussain and Azhar, Interpolative type contraction mappings in $G$-metric space, International Journal of Nonlinear Analysis and Applications, 15(12), 453-464,
- Iqbal, B.; Saleem, N.; Iqbal, I.; Aphane, M. Common Attractors of Generalized Hutchinson–Wardowski Contractive Operators. Fractal Fract. 2024, 8, 651. https://doi.org/10.3390/fractalfract8110651
- Alam, K.H., Rohen, Y., Saleem, N. et al. Convergence of Fibonacci–Ishikawa iteration procedure for monotone asymptotically nonexpansive mappings. J Inequal Appl 2024, 81 (2024). https://doi.org/10.1186/s13660-024-03156-8
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