Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/51000
Title: Fixed point theorems for nonlinear mappings and strict convexity of banach spaces
Authors: S. Dhompongsa
W. Fupinwong
W. Takahashi
J. C. Yao
Keywords: Mathematics
Issue Date: 1-Apr-2010
Abstract: In this paper, we first prove a fixed point theorem for generalized nonexpansive type mappings in a Banach space by using Kohsaka and Takahashi's fixed point theorem [10] for nonspreading mappings. Then using Takahashi, Yao and Kohsaka's result [21], we obtain a necessary and sufficient condition for the existence of fixed points of generalized nonexpansive type mappings. Further, we prove a fixed point theorem for nonspreading mappings with compact domains in a Banach space. Using this result, we give a necessary and sufficient condition for strict convexity of Banach spaces.
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78650736801&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/51000
ISSN: 18805221
13454773
Appears in Collections:CMUL: Journal Articles

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