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|Title:||Fixed point theorems for nonlinear mappings and strict convexity of banach spaces|
J. C. Yao
|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  for nonspreading mappings. Then using Takahashi, Yao and Kohsaka's result , 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.|
|Appears in Collections:||CMUL: Journal Articles|
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