پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 635 |
| تعداد مقالات | 9,314 |
| تعداد مشاهده مقاله | 67,881,229 |
| تعداد دریافت فایل اصل مقاله | 17,096,903 |
A new extension of the Darbo theorem for the Schauder type selections with an application | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 5، دوره 15، شماره 10، دی 2024، صفحه 51-58 اصل مقاله (349.4 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28691.3966 | ||
| نویسندگان | ||
| Ehsan Lotfali Ghasab؛ Hamid Majani* | ||
| Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran | ||
| تاریخ دریافت: 21 مهر 1401، تاریخ بازنگری: 22 بهمن 1401، تاریخ پذیرش: 07 خرداد 1402 | ||
| چکیده | ||
| In the present article, we provide a new nonlinear contraction for the Schauder type selections of multi-valued mappings in metric spaces which is a new spread of the Darbo theorem. Meanwhile, we apply the main results in coupled fixed-point theory and functional integral equation. | ||
| کلیدواژه‌ها | ||
| Measure of noncompactness؛ Schauder type selections؛ Darbo theorem؛ multi-valued mapping؛ complete metric spaces | ||
| مراجع | ||
|
[1] S. Abbas, A. Deep, B. Singh, M.R. Alharthi, and K.S. Nisar, Solvability of functional stochastic integral equations via Darbo’s fixed point theorem, Alexandria Engin. J. 60 (2021), 5631–5636. [2] R. Arab, H.K. Nashine, and R.W. Ibrahim, Tripled fixed point results via a measure of noncompactness with applications, Asian-Eur. J. Math. 14 (2021), no. 2, 2150008. [3] T.D. Benavides and P.L. Ramirez, Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings, J. Fixed Point Theory Appl. 2021 (2021), 21:40. [4] J. Banas, M. Jleli, M. Mursaleen, and B. Samet, Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness, Springer, Singapore, 2017. [5] J. Banas and B.C. Dhage, Global asymptotic stability of solutions of a functional integral equation, Nonlinear Anal. 69 (2008), 1945–1952. [6] J. Banas and K. Goebel, Measures of Noncompactness in Banach Spaces, Lect. Notes Pure Appl. Math. New York, Vol. 60, 1980. [7] T.G. Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006), 1379–1393. [8] K.C. Border, Fixed Point Theorems with Applications to Economics and Game Theory, Cambridge University Press, 1985. [9] G. Darbo, Punti uniti in transformazioni a condomino non compatto, Rend. Sem. Mat. Univ. Padova. 24 (1955), 84–92. [10] B.C. Dhage and S.S. Bellale, Local asymptotic stability for nonlinear quadratic functional integral equations, Electr. J. Qual. Theo. Differ. Equ. 10 (2008), 1–13. [11] E.L. Ghasab, H. Majani, E. Karapinar, and G. Soleimani Rad, New fixed point results in F-quasi-metric spaces and an application, Adv. Math. Phys. 2020 (2020), 9452350. [12] M.A. Khamsi, Remarks on Caristis fixed point theorem, Nonlinear Anal. 71 (2009), 227–231. [13] Z. Li, Remarks on Caristis fixed point theorem and Kirk’s problem, Nonlinear Anal. 73 (2010), 3751–3755. [14] S.B. Nadler, Multi-valued contraction mappings, Pacific J. Math. 30 (1969), 475–488. [15] V. Parvaneh, M. Khorshidi, and M. De La Sen, Measure of noncompactness and a generalized Darbo fixed point theorem and its applications to a system of integral equations, Adv. Differ. Equ. 2020 (2020), 243. [16] J. Schauder, Der fixponktestatz in funktionalarumen, Studia Math. 2 (1930), 171–180. [17] G. Soleimani Rad, S. Shukla, and H. Rahimi, Some relations between n-tuple fixed point and fixed point results, RACSAM. 109 (2015), 471–481. | ||
|
آمار تعداد مشاهده مقاله: 923 تعداد دریافت فایل اصل مقاله: 319 |
||