Fixed point theorems of multi-valued decreasing operators on cones
Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 4, p. 334-339.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, some fixed point theorems for multi-valued decreasing operators are established on cones.
DOI : 10.22436/jnsa.008.04.06
Classification : 47H05, 47H10
Keywords: Multi-valued decreasing operator, convex operator, cone, fixed point, Banach space.

Feng, Yuqiang 1 ; Mao, Wei 2 ; Qu, Guangjun 2

1 School of Science, Wuhan University of Science and Technology, Wuhan 430065, P. R. China
2 School of Mathematical Science and Computer Science, Shaanxi University of Technology, Hanzhong 723001, P. R. China
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Feng, Yuqiang; Mao, Wei; Qu, Guangjun. Fixed point theorems of multi-valued decreasing operators on cones. Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 4, p. 334-339. doi : 10.22436/jnsa.008.04.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.008.04.06/

[1] Bu, C.; Feng, Y.; Li, H. Existence and uniqueness of fixed point for mixed monotone ternary operators with application, Fixed Point Theory Appl., Volume 2014 (2014), pp. 1-13

[2] Feng, Y.; S. Liu Fixed point theorems for multi-valued increasing operators in partial ordered spaces , Soochow J. Math., Volume 30 (2004), pp. 461-469

[3] Feng, Y.; Tong, P. Existence and nonexistence of positive periodic solutions to a second order differential inclusion, Topol. Methods Nonlinear Anal., Volume 42 (2013), pp. 449-459

[4] Feng, Y.; Wang, H. Characterizations of reproducing cone and uniqueness of fixed point, Nonlinear Anal., Volume 74 (2011), pp. 5759-5765

[5] D. Guo Partial Order Methods in Nonlinear Analysis, Shandong Science and Technology Press, Jinan , 2000

[6] Huang, N.; Fang, Y. Fixed points for multi-valued mixed increasing operators in ordered Banach spaces with applications to integral inclusions, Z. Anal. Anwendungen, Volume 22 (2003), pp. 399-410

[7] Huy, N. B.; Kahanh, N. H. Fixed point for multivalued increasing operators, J. Math. Anal. Appl., Volume 250 (2000), pp. 368-371

[8] Kukushikin, N. S. A fixed point theorem for decreasing mappings , Economic Lett., Volume 46 (1994), pp. 23-26

[9] Krasnoses'kii, M. A.; P. P. Zabreiko Geometrical Methods of Nonlinear Analysis , Springer Verlag, Berlin , 1984

[10] Li, F.; Feng, J.; P. Shen Fixed point theorems for a class of decreasing operators and their applications, Acta Math. Sinica, (in Chinese)., Volume 42 (1999), pp. 193-196

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