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Some fixed point theorems for $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 20، دوره 12، شماره 1، مرداد 2021، صفحه 245-260 اصل مقاله (460.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4776 | ||
| نویسندگان | ||
| Farzaneh Lotfy1؛ Jalal Hassanzadeh Asl* 2؛ Hassan Refaghat1 | ||
| 1Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, Iran | ||
| 2Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, Iran | ||
| تاریخ دریافت: 16 فروردین 1399، تاریخ بازنگری: 22 آبان 1399، تاریخ پذیرش: 13 دی 1399 | ||
| چکیده | ||
| Recently Hamed H Alsulami et al introduced the notion of ($\alpha$-$\psi$)-rational type contractive mappings. They have been establish some fixed point theorems for the mappings in complete generalized metric spaces. In this paper, we introduce the notion of some fixed points theorems for $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations and give a common fixed point result about fixed points of the set-valued mappings. | ||
| کلیدواژه‌ها | ||
| Fixed points؛ $\alpha_{*}$-common admissible؛ $\alpha_{*}$-$psi$-common rational type contractive؛ Partially ordered set؛ Generalized metric spaces؛ Weakly increasing؛ Fractional integral equations | ||
| مراجع | ||
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[1] M. Abbas, T. Nazir and S. Radenovic, Common fixed points of four maps in partially ordered metric spaces, Appl. Math. Lett. 24 (2011) 1520–1526. [2] H.H. Alsulami, S. Chandok, M.A. Taoudi and I.M. Erhan, Some common fixed points theorems for α∗-ψ-common rational type contractive and weakly increasing multi-valued mappings on ordered metric spaces, Fixed Point Theory Appl. 2015 (2015) 97. [3] I. Altun and V. Rakocevic, Ordered cone metric spaces and fixed point results, CAMWA-D-09 00221, (2009). [4] A. Amini-Harandi, Coupled and tripled fixed point theory in partially ordered metric spaces with application to initial value problem, Math. Comput. Model. 2012 (2012) doi:10.1016/j.mcm.2011.12.006. [5] M. Asadi, H. Soleimani and S. M. Vaezpour, An Order on Subsets of Cone Metric Spaces and Fixed Points of Set-Valued Contractions, Fixed Point Theory Appl. 2009 (2009) Article ID 723203. [6] M. Asadi, E. Karapinar and A. Kumar, α-ψ-Geraghty contractions on generalized metric spaces, J. Inequal. Appl. 2014 (2014). [7] M. Asadi, E. Karapinar and P. Salimi, A new approach to G-metric and related fixed point theorems, J. Inequal. Appl. 2013 (2013) 454. [8] H. Baghani, M. E. Gordji and M. Ramezani, Orthogonal sets: The axiom of choice and proof of a fixed point theorem, J. Fixed Point Theory Appl. 18(3) (2016) 465–477. [9] A. Branclari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces Publ. Math (Debe) 57 (2000) 31–37. [10] B.C. Dhage, D. ORegan and R.P. Agarwal, Common fixed theorems for a pair of countably condensing mappings in ordered Banach spaces, J. Apple. Math Stoch. Anal. 16(3) (2003) 243–248. [11] M.E. Gordji and H Habibi, Fixed point theory in generalized orthogonal metric space, J. Linear Topolog. Alg. 6(3(2017) 251–260. [12] M.E. Gordji, M. Rameani, M. De La Sen and Y. Je Cho, On orthogonal sets and Banach fixed point theorem, Fixed Point Theory 18(2) (2017) 569–578. [13] J. Hasanzadeh Asl, Sh. Rezapour and N. Shahzad, On fixed points of α-ψ-contractive multi-functions, Fixed Point Theory Appl. 2012 (2012) 212. [14] J. Hasanzadehasl, Common fixed point theorems for α-ψ-contractive type mappings, Int. J. Anal. 2013 (2013), Article ID 654659. [15] M. Ramezani and H. Baghani, Contractive gauge functions in strongly orthogonal metric spaces, Int. J. Nonlinear Anal. Appl. 8(2) (2017) 23–28. [16] S. Khalehoghli, H. Rahimi and M. Eshaghi, Fixed point theorems in R-metric spaces with applications, AIMS Math. 5(4) (2020) 3125–3137. [17] S. Khalehoghli, H. Rahimi and M. Eshaghi Gordji, R-topological spaces and SR-topological spaces with their applications, Math. Sci. 14(3) (2020) 249–255. [18] B. Samet, C. Vetro and P. Vetro, Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Anal. 75 (2012) 2154–2165. [19] W.A. Kirk and N. Shahzad, Generalized metrics and Caristi’s theorem, Fixed Point Theory Appl. 2013 (2013) Article ID 129. [20] B.C. Dhage, Condensing mappings and applications to existence theorems for common solution of differential equations, Bull. Korean Math. Soc. 36(3) (1999) 565–578. [21] D. Guo and V. Lakshmikantham, Coupled fixed points of nonlinear operators with applications, Nonlinear Anal. Theory Meth. Appl. 11 (1987) 623–632. [22] Y. Feng and S. Liu, Fixed point theorems for multi-valued increasing operators in partially ordered spaces, Soochow J. Math. 30(4) (2004) 461–469. [23] W.A. Wilson, On semimetric spaces. Amer. J. Math. 53(2) (1931) 361–373. | ||
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