پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 646 |
| تعداد مقالات | 9,451 |
| تعداد مشاهده مقاله | 68,212,735 |
| تعداد دریافت فایل اصل مقاله | 46,673,355 |
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 | ||
|
[1] A. Bielecki, Une remarque sur la methode de Banach-Cacciopoli-Tikhonov dans la theorie des equations differentielles ordinaires, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 4 (1956) 261–264. [2] S. Cho, J. Bae and K. Na, Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings in cone metric spaces, Fixed Point Theory Appl. 2012 (2012) 133. [3] Lj. Ciri´c, ´ Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces, Nonlinear Anal. 72 (2010) 2009–2018. [4] Lj. Ciri´c, P. Agarwal and B. Samet, ´ Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces, Fixed Point Theory Appl. 2011 (2011) 56. [5] Lj. Ciri´c, D. Mihet, R. Saadati, ´ Monotone generalized contractions in partially ordered probabilistic metric spaces, Topol. Appl. 156 (2009) 2838–2844. [6] O. Hadzic, A fixed point theorem in Menger spaces, Publ. Inst. Math. 26 (1979) 107–112. [7] O. Hadzic and Z. Ovcin, Fixed point theorems in fuzzy metric and probabilistic metric spaces, Zb. Rad. Prirod.- Mat. Fak., Ser. Mat. 24 (1994) 197–209. [8] O. Hadzic and E. Pap, Fixed Point Theory in Probabilistic Metric Spaces, Kluwer Academic, Dordrecht, 2001. [9] J. Jachymski, On probabilistic φ-contractions on Menger spaces, Nonlinear Anal. 73 (2010) 2199–2203. [10] H.P. Masiha and F. Sabetghadam, A coupled fixed point theorem for contraction type maps in quasi-ordered metric spaces, Int. J. Math. Anal. 5(41) (2011) 2041–2050 [11] H.P. Masiha and F. Sabetghadam, Fixed point results for multi-valued operators in quasi-ordered metric spaces, Appl. Math. Lett. 25 (2012) 1856–1861. [12] I.A. Rus, Generalized Contractions and Applications, Cluj University Press, Romania, 2001. [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) 114. [14] V.M. Sehgal, Some Fixed Point Theorems in Functional Analysis and Probability, Ph.D. dissertation, Wayne State Univ. 1966. [15] V.M. Sehgal and A.T. Bacharuca-Reid, Fixed points of contraction mappings on probabilistic metric spaces, Math. Syst. Theory 6 (1972) 97–102. [16] J. Wu, Some fixed-point theorems for mixed monotone operators in partially ordered probabilistic metric spaces, Fixed Point Theory Appl. 2014 (2014) 49. | ||
|
آمار تعداد مشاهده مقاله: 15,573 تعداد دریافت فایل اصل مقاله: 7,112 |
||