پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 610 |
| تعداد مقالات | 9,026 |
| تعداد مشاهده مقاله | 67,082,742 |
| تعداد دریافت فایل اصل مقاله | 7,656,161 |
Fixed point results on p-metric spaces via p-simulation functions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 16 آذر 1403 اصل مقاله (417.34 K) | ||
| نوع مقاله: Special issue editorial | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22691.2403 | ||
| نویسندگان | ||
| Abdolsattar Gholidahneh1؛ Shaban Sedghi1؛ Jung Rye Lee* 2 | ||
| 1Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran | ||
| 2Department of Data Science, Daejin University, Kyunggi 11159, Korea | ||
| تاریخ دریافت: 28 دی 1399، تاریخ پذیرش: 22 اسفند 1399 | ||
| چکیده | ||
| In this paper, we introduce the structure of modified $b$-metric spaces as a generalization of $b$-metric spaces. Also, we present the notions of $p$-contractive mappings in the modified $b$-metric spaces and investigate the existence of a fixed point for such mappings under various contractive conditions. We provide examples to illustrate the results presented herein. | ||
| کلیدواژه‌ها | ||
| fixed point؛ complete metric space؛ p-metric space | ||
| مراجع | ||
|
[1] S. Aleksic, Z.D. Mitrovic, and S. Radenovic, A fixed point theorem of Jungck in bv(s)-metric spaces, Period. Math. Hungar. 77 (2018), 224–231. [2] I.A. Bakhtin, The contraction mapping principle in almost metric spaces, Funct. Anal. Gos. Ped. Inst. Unianowsk 30 (1989), 26–37. [3] M.A. Barakat, H. Aydi, A. Mukheimer, A.A. Soliman, and A. Hyder, On multivalued L-contractions and an application, Adv. Difference Equ. 2020 (2020), Paper No. 554. [4] S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inf. Univ. Ostrav. 1 (1993), 5–11. [5] M. Demma, R. Saadati, and P. Vetro, Fixed point results on b-metric space via Picard sequences and b-simulation functions, Iran. J. Math. Sci. Inf. 11 (2016), 123–136 [6] D.S. Jaggi, Some unique fixed point theorems, Indian J. Pure Appl. Math. 8 (1977), 223–230. [7] M. Jleli, E. Karapınar, and B. Samet, Further generalizations of the Banach contraction principle, J. Inequal. Appl. 2014 (2014), Paper No. 439. [8] E. Karapinar, A. Fulga, and H Aydi, Study on Pata E-contractions, Adv. Difference Equ. 2020 (2020), Paper No. 539. [9] M. Kir, E. Yolacan, and H. Kiziltunc, Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application, Open Math. 15 (2017), 734–744. [10] A. Latif, Z. Kadelburg, V. Parvaneh, and J.R. Roshan, Some fixed point theorems for G-rational Geraghty contractive mappings in ordered generalized b-metric spaces, J. Nonlinear Sci. Appl. 8 (2015), 1212–1227. [11] H.K. Nashine, R. Arab, R.P. Agarwal, and A. Shole Haghighi, Darbo type fixed and coupled fixed point results and its application to integral equation, Period. Math. Hungar. 77 (2018), 94–107. [12] J.J. Nieto and R. Rodrıguez-Lopez, Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations, Acta Math. Sinica 23 (2007), 2205–2212. [13] Z. Sadeghi and S.M. Vaezpour, Fixed point theorems for multivalued and single-valued contractive mappings on Menger PM spaces with applications, J. Fixed Point Theory Appl. 20 (2018), Paper No. 114. [14] R.J. Shahkooh and A. Razani, Some fixed point theorems for rational Geraghty contractive mappings in ordered b-metric spaces, J. Inequal. Appl. 2014 (2014), Paper No. 373. [15] F. Zabihi and A. Razani, Fixed point theorems for hybrid rational Geraghty contractive mappings in ordered b-metric spaces, J. Appl. Math. 2014 (2014), Art. ID 929821. [16] K. Zoto, S. Radenovic, and A.H. Ansari, On some fixed point results for (s, p, α)-contractive mappings in b-metric[1]like spaces and applications to integral equations, Open Math. 16 (2018), 235–249. | ||
|
آمار تعداد مشاهده مقاله: 26 تعداد دریافت فایل اصل مقاله: 57 |
||