ON FIXED POINT OF MULTI-VALUED MIXED OPERATORS IN BANACH SPACES

摘要

Given some new order relationships in Banach spaces, fixed points of multivalued mixed monotone operators and their iteration approximations are derived in this paper, which result in some new fixed point theorems of multivalued mixed monotone operators and monotone operators, which need not be continuous or satisfy compactness conditions. Finally, an example is given to illustrate the obtained results.