Panwar, A., Morwal, R., & Kumar, S. (2023). Fixed points of ρ-nonexpansive mappings using MP iterative process. Advances in the Theory of Nonlinear Analysis and Its Application, 6(2), 229–245.
- ISSN: 2587-2648
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Anju Panwara, Reena Morwalb, Santosh Kumarc
a Department of Mathematics, Maharshi Dayanand University, Rohtak (Haryana)-124001, India;
Dar es Salaam, Tanzania.
b Govt. P.G. College for Women, Rohtak (Haryana)-124001, India.
c Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Dar es Salaam, Tanzania.
This research article introduces a new iterative process called MP iteration and proves some convergence and approximation results for the fixed points of ρ-nonexpansive mappings in modular function spaces. To demonstrate that MP iterative process converges faster than some well-known existing iterative processes for ρ-nonexpansive mappings, we construct some numerical examples. In the end, the concept of summably almost T-stability for MP iterative process is discussed.
Keywords: Fixed point, ρ-nonexpansive mappings, MP iteration, summably almost T-stability, non-self mappings.
Panwar, A., Morwal, R., & Kumar, S. (2023). Fixed points of ρ-nonexpansive mappings using MP iterative process. Advances in the Theory of Nonlinear Analysis and Its Application, 6(2), 229–245.