Lotfali Ghasab, Ehsan, Majani, Hamid, Karapinar, Erdal, Soleimani Rad, Ghasem. (1400). Set-valued nonlinear contractive operators in $PM$-spaces. هنرهای کاربردی, 12(2), 2417-2427. doi: 10.22075/ijnaa.2021.22375.2354
Ehsan Lotfali Ghasab; Hamid Majani; Erdal Karapinar; Ghasem Soleimani Rad. "Set-valued nonlinear contractive operators in $PM$-spaces". هنرهای کاربردی, 12, 2, 1400, 2417-2427. doi: 10.22075/ijnaa.2021.22375.2354
Lotfali Ghasab, Ehsan, Majani, Hamid, Karapinar, Erdal, Soleimani Rad, Ghasem. (1400). 'Set-valued nonlinear contractive operators in $PM$-spaces', هنرهای کاربردی, 12(2), pp. 2417-2427. doi: 10.22075/ijnaa.2021.22375.2354
Lotfali Ghasab, Ehsan, Majani, Hamid, Karapinar, Erdal, Soleimani Rad, Ghasem. Set-valued nonlinear contractive operators in $PM$-spaces. هنرهای کاربردی, 1400; 12(2): 2417-2427. doi: 10.22075/ijnaa.2021.22375.2354

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
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
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