We generalize two known results of R.E. Smithson [Fixed points in partially ordered sets, Pacific J. Math. 45 (1) (1973) 363-367] for commutative multifunctions in posets. The main result proves the existence of the minimum common fixed point under suitable conditions.
Commutative multifunctions in posets with minimum common fixed point
DIVICCARO, MARIA LUIGIA
2010
Abstract
We generalize two known results of R.E. Smithson [Fixed points in partially ordered sets, Pacific J. Math. 45 (1) (1973) 363-367] for commutative multifunctions in posets. The main result proves the existence of the minimum common fixed point under suitable conditions.File in questo prodotto:
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