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F ( x ) is inductive with a finite number of maximal elements for every x ∈ P ; A3.
Some new existence theorems of maximal elements for generalized -majorized mappings are proved under noncompact setting of -spaces.
A3′.: ((F x),succcurlyeq)) is inductive with a finite number of maximal elements for every (xin X).
((F x), succeq )) is inductive with a finite number of maximal elements, for every (x in P). A3.
It is well known that many existence theorems of maximal elements for various classes of set-valued mappings have been established in different spaces.
The existence of maximal elements for a multivalued mapping in topological vector spaces and its important applications to mathematical economies have been studied by many authors in both mathematics and economies, see, for example, [26 28] and the references therein.
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The maximal element for in this order is the distribution function given by.
The maximal element for (Delta^) in this order is the distribution function (varepsilon_{0}) (see [7 9]).
The maximal element for Δ+ in this order is the d.f.
The maximal element for in this order is the distribution function given by (2.1).
The maximal element for in this order is the df given by (1.1).
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