caa a22 4500 463206053 CHVBK 20180405153126.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s11228-006-0030-8 doi (NATIONALLICENCE)springer-10.1007/s11228-006-0030-8 Existence Theorems for Set-valued Operators in Banach Spaces [Elektronische Daten] [Shin-ya Matsushita, Wataru Takahashi] In this paper, we study the problem of existence of zero points for set-valued operators in Banach spaces. We present a simple condition which can be used to verify that under some conditions, set-valued operators have zero points. Furthermore, we derive the surjectivity result and the Kakutani fixed point theorem by using this condition. Springer Science + Business Media B.V., 2006 normal cone nationallicence zero point nationallicence upper semicontinuous nationallicence monotone nationallicence duality mapping nationallicence fixed point nationallicence Matsushita Shin-ya Department of Information Engineering, Matsue National College of Technology, Nishi-Ikuma, Matsue, 690-8518, Shimane, Japan aut Takahashi Wataru Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, 152-8552, Tokyo, Japan aut Set-Valued Analysis Springer Netherlands 15/3(2007-09-01), 251-264 0927-6947 15:3<251 2007 15 11228 https://doi.org/10.1007/s11228-006-0030-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11228-006-0030-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Matsushita Shin-ya Department of Information Engineering, Matsue National College of Technology, Nishi-Ikuma, Matsue, 690-8518, Shimane, Japan aut NATIONALLICENCE 700 1- Takahashi Wataru Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, 152-8552, Tokyo, Japan aut NATIONALLICENCE 773 0- Set-Valued Analysis Springer Netherlands 15/3(2007-09-01), 251-264 0927-6947 15:3<251 2007 15 11228 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer