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Set-valued nonlinear contractive operators in $PM$-spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 2417-2427 اصل مقاله (421.27 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22375.2354 | ||
| نویسندگان | ||
| Ehsan Lotfali Ghasab1؛ Hamid Majani* 2؛ Erdal Karapinar3؛ Ghasem Soleimani Rad4 | ||
| 1Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran. | ||
| 2Department of Mathematics, Shahid Chamran University, of Ahvaz, Ahvaz, Iran | ||
| 3Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Ho Chi Minh, Vietnam, Department of Mathematics, C¸ankaya University, 06790, Etimesgut, Ankara, Turkey | ||
| 4Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, P. O. Box 13185/768, Tehran, Iran & Young Researchers and Elite club, Central Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| تاریخ دریافت: 24 دی 1399، تاریخ پذیرش: 22 خرداد 1400 | ||
| چکیده | ||
| In this paper, we consider some nonlinear contraction for set-valued operators and prove some fixed point results in the case of set-valued operators are ordered-close and not ordered-close, and in the case of set-valued operators are UCAV (LCAV) in quasi-ordered $PM$-spaces. Moreover, we present two examples and an application to show the validity of the main theorems. | ||
| کلیدواژه‌ها | ||
| $PM$-spaces؛ quasi-ordered $PM$-spaces؛ ordered-close operator | ||
| مراجع | ||
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