کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
844306 | 908583 | 2007 | 5 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Remarks on sufficient conditions for fixed points of multivalued nonexpansive mappings Remarks on sufficient conditions for fixed points of multivalued nonexpansive mappings](/preview/png/844306.png)
In recent papers [S. Dhompongsa, T. Domínguez-Benavides, A. Kaewcharoen, A. Kaewkhao, B. Panyanak, The Jordan–von Neumann constants and fixed points for multivalued nonexpansive mappings, J. Math. Anal. Appl. 320 (2006) 916–927; S. Dhompongsa, A. Kaewcharoen, A. Kaewkhao, The Domínguez–Lorenzo condition and multivalued nonexpansive mappings, Nonlinear Anal. 64 (2006) 958–970], two sufficient conditions, namely the Domínguez–Lorenzo condition and property (DD), for fixed points of multivalued nonexpansive mappings are introduced. The authors also give some sufficient conditions for the Domínguez–Lorenzo condition and property (DD). In their proofs, it seems reasonable to use the James and von Neumann–Jordan constants. With slight modifications, significant improvements are obtained. Some new estimates are tight in Hilbert spaces.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 5, 1 September 2007, Pages 1649–1653