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On $T_\beta$-contractive mappings: Fixed point results with an application | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 223، دوره 13، شماره 2، مهر 2022، صفحه 2771-2779 اصل مقاله (360.87 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26396.3304 | ||
| نویسندگان | ||
| Youssef Touail* ؛ Driss El Moutawakil | ||
| Equipe de Recherche en Mathematiques Appliquees, Technologies de l'Information et de la Communication Faculte Polydisciplinare de Khouribga, Universite Sultan Moulay Slimane de Beni-Mellal, Morocco | ||
| تاریخ دریافت: 04 اسفند 1400، تاریخ بازنگری: 08 خرداد 1401، تاریخ پذیرش: 04 تیر 1401 | ||
| چکیده | ||
| We introduce the concept of $T_\beta$-contractive mappings in the framework of bounded metric spaces and prove the existence of a fixed point for such mappings without using neither the compactness nor the uniform convexity of the space. Furthermore, a fixed point theorem for $T_{\beta}$-weakly contractive maps has been given. We point out that, these results generalize and improve many previous works in the literature. Ultimately, one of our theoretical results has been implicated to study the existence of the solution to a class of functional equations arising in dynamic programming under new weak conditions. | ||
| کلیدواژه‌ها | ||
| Fixed point؛ $T_beta$-contractive mappings؛ $T_{beta}$-weakly contractive maps؛ $alpha$-admissible؛ $tau$-distance | ||
| مراجع | ||
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[1] M. Aamri and D. El Moutawakil, τ -distance in general topological spaces (X, τ ) with application to fixed point theory, Southwest J. Pure Appl. Math., 2 (2003), 1–5. [2] Ya.I. Alber and S. Guerre-Delabriere, Principle of weakly contractive maps in Hilbert spaces, New Results in Operator Theory and Its Applications, Birkhauser Verlag, Basel, 1997. [3] R. Bellman, Dynamic programming, Princeton University Press, Princeton, 1957. [4] R. Bellman and E.S. Lee, Functional equations arising in dynamic programming, Aequ. Math. 17 (1978), 1—18. [5] F.E. Browder, Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sei. U.S.A. 54 (1965), no. 4, 1041–1044. [6] J.A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), 396–414. [7] A.P. Farajzadeh, M. Delfani and Y.H. Wang, Existence and uniqueness of fixed points of generalized F-contraction mappings, J. Math.. 2021 (2021), Article ID 6687238, 9 pages. [8] A. Farajzadeh, S. Suanthai and M. Delfani, A modication of simulation function and its applications to fixed point theory, Thai J. Math. 2021. [9] D. G¨ohde, Zum prinzip der kontraktiven Abbildung, Math. Nachr. 30 (1965), 251–258. [10] F. Khojasteh, S. Shukla and S. Radenovic, A new approach to the study of fixed point theorems via simulation functions, Filomat 29 (2015), no. 6, 1189–1194. [11] I. Rus, A. Petru¸sel and G. Petru¸sel, Fixed point theory, Univ. Press, Cluj, 2008. [12] B. Samet, C. Vetro and P. Vetro, Fixed point theorems for α − ψ-contractive type mappings, Nonlinear Anal. 75 (2012), no. 4, 2154–2165. [13] A. Taheri and A. Farajzadeh, A new generalization of type almost contractions and type Suzuki contractions in metric spaces and their fixed point theorems, Carpathian Math. Publ. 11 (2019), 475–492. [14] Y. Touail, D. El Moutawakil and S. Bennani, Fixed Point theorems for contractive self mappings of a bounded metric space, J. Funct. Spaces 2019 (2019), Article ID 4175807, 3 pages. [15] Y. Touail and D. El Moutawakil, Fixed point results for new type of multivalued mappings in bounded metric spaces with an application, Ricerche mat (2020). https://doi.org/10.1007/s11587-020-00498-5 [16] Y. Touail and D. El Moutawakil, ⊥ψF -contractions and some fixed point results on generalized orthogonal sets, Rend. Circ. Mat. Palermo, Ser. 2 70 (2021), no. 3, 1459-1472. [17] Y. Touail and D. El Moutawakil, New common fixed point theorems for contractive self mappings and an application to nonlinear differential equations, Int. J. Nonlinear Anal. Appl. 12 (2021), no. 1, 903–911. [18] Y. Touail and D. El Moutawakil, Fixed point theorems for new contractions with application in dynamic programming, Vestnik St. Petersburg University, Math. 54 (2021), no. 2, 206–212. [19] Y. Touail and D. El Moutawakil, Fixed point theorems on orthogonal complete metric spaces with an application, Int. J. Nonlinear Anal. Appl. 12 (2021), no. 2, 1801–1809. [20] Y. Touail and D. El Moutawakil, Some new common fixed point theorems for contractive self mappings with applications, Asian-Eur. J. Math. 15 (2022), no. 4, 2250080. [21] Y. Touail, A. Jaid and D. El Moutawakil, New contribution in fixed point theory via an auxiliary function with an application, Ricerche mat (2021). https://doi.org/10.1007/s11587-021-00645-6 | ||
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