Fixed points of multivalued nonexpansive random operator in banach spaces
*Wisam Mohammed MukhlifCorresponding authorwassoalraqy@gmail.comDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BaghdadBaghdad, IraqView full profile → , Sabah Hassan Malihsabah.h.m@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BaghdadBaghdad, IraqView full profile →
* Corresponding author · click or hover a name for details
- Published Online:
- 09 Dec 2023
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1690
- Pages:
- 1671–1676
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References
[1] A. Špaček, “Zufällige gleichungen,” Czechoslov. Math. J., vol. 5, no. 4, pp. 462–466 (1955).
[2] O. Hanš, “Reduzierende zufällige transformationen,” Czechoslov. Math. J., vol. 7, no. 1, pp. 154–158 (1957).
[3] S. B. Nadler Jr, “Multi-valued contraction mappings.,” Pacific J. Math., vol. 30, no. 2, pp. 475–488 (1969).
[4] Z. Opial, “Weak convergence of the sequence of successive approximations for nonexpansive mappings,” Bull. Am. Math. Soc., vol. 73, no. 4, pp. 591–597 (1967).
[5] S. Li, X. Xiao, L. Li, and J. Lv, “Random approximation with weak contraction random operators and a random fixed point theorem for nonexpansive random self-mappings,” J. Inequalities Appl., vol. 2012, no. 1, p. 16 (2012).
[6] J. Schu, “Weak and strong convergence to fixed points of asymptotically nonexpansive mappings,” Bull. Aust. Math. Soc., vol. 43, no. 1, pp. 153–159 (1991).
[7] S. H. Malih, “Random fixed point for random Fibonacci Noor iteration scheme,” J. Interdiscip. Math., vol. 24, no. 3, pp. 775–779 (2021).
[8] S. S. Abed and Z. M. M. Hasan, “Convergence comparison of two schemes for common fixed points with an application,” Ibn AL-Haitham J. Pure Appl. Sci., vol. 32, no. 2, pp. 81–92 (2019).
[9] S. S. Abed and Z. M. M. Hasan, “Common fixed point of a finite-step iteration algorithm under total asymptotically quasi-nonexpansive maps,” Baghdad Sci. J., vol. 16, no. 3, pp. 654–660 (2019), doi: 10.21123/bsj.2019.16.3.0654.
[10] Z. H. Maibed and A. Q. Thajil, “Zenali Iteration Method For Approximating Fixed Point of A δ ZA-Quasi Contractive mappings,” Ibn AL-Haitham J. Pure Appl. Sci., vol. 34, no. 4, pp. 78–92 (2021).
[11] S. H. Malih, “Common Fixed Point for a Pair of Asymptotically Nonexpansive and Multivalued Mapping Under Fibonacci Iteration Sequence in CAT (0) Space,” in Journal of Physics: Conference Series, vol. 1897, no. 1 (2021).
[12] A. J. Kadhim, “New Common Fixed Points for Total Asymptotically Nonexpansive Mapping in CAT (0) Space,” Baghdad Sci. J., vol. 18, no. 4, p. 1286 (2021).
[13] H. H. Luaibi and S. S. Abed, “Fixed point theorems in general metric space with an application,” Baghdad Sci J, vol. 18, no. 1, pp. 812–815 (2021).
[14] Y. J. Ajeel and S. N. Kadhim, “Some Common fixed points theorems of four weakly compatible mappings in metric spaces,” Baghdad Sci J, vol. 18, no. 3, pp. 543–546 (2021).
[15] S. H. Malih, “Fixed point theorems of modified Mann and Ishikawa iterations,” J. Interdiscip. Math., vol. 24, no. 5, pp. 1093–1097 (2021).
[16] I. Karahan and M. Ozdemir, “A general iterative method for approximation of fixed points and their applications,” Adv. Fixed Point Theory, vol. 3, no. 3, pp. 510–526 (2013).
[17] Shubham Sharma & Ahmed J. Obaid. Mathematical modelling, analysis and design of fuzzy logic controller for the control of ventilation systems using MATLAB fuzzy logic toolbox, Journal of Interdisciplinary Mathematics, 23:4, 843-849 (2020), DOI: 10.1080/09720502.2020.1727611.
[18] Shuwaie, J. S., & Hussain, A. K., Topological Spaces F_1And F_2. Wasit Journal of Computer and Mathematics Sciences, 1(2), 62-70 (2022).
[19] Hameed, Z. N., & Kadhem, H. H., On Degree Topology and Set-T_0 space. Wasit Journal of Computer and Mathematics Sciences, 1(4), 213-219 (2022).
