Fixed Points and Maximal Elements in FC-spaces

HE Rong-hua · Journal of Sichuan Normal University · 2013

In this paper,we will continue to study some problems for fixed points and maximal elements in nonlinear analysis in FC-spaces.We introduce a notion of weakly FC-set-valued mapping in FC-space.Using the above notion,we prove some new fixed point theorems for set-valued mapping,from which we derive several existence theorems of maximal elements.Our results improve and generalize some recent results.

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