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Let be a multivalued operator.
Let T : X → P b ( X ) be a multivalued operator.
Let, with for each and let be a multivalued operator.
Let T : X → P X) be a multivalued operator.
Let be a reflexive strictly convex and smooth Banach space and let be a multivalued operator.
Let be an ordered Banach space, be a multivalued operator having nonempty and weakly closed values.
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and is a multivalued operator defined by (37).
Here is a multivalued operator and denotes the weak closure of the set.
Now, if is a multivalued operator, then we denote by the fixed points set of, that is,.
If T : X → P ( X ) is a multivalued operator, then x ∈ X is called a fixed point for T if and only if x ∈ T ( x ).
If (T : X to operatorname{CB}(X)) is a multivalued operator, then an element (x in X) is called (i) fixed point of T if (x in Tx); (ii) strict fixed point of T if ({x} = T x). .
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