$(a,k)$-regularized $(C_{1},C_{2})$-existence and uniqueness families
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 38 (2013) no. 1
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In this paper, we introduce and analyze the class of $(a,k)$-regularized $(C_{1},C_{2})$-existence and uniqueness families in the setting of sequentially complete locally convex spaces. The classes of $(a,k)$-regularized $C_{1}$-existence families and $(a,k)$-regularized $C_{2}$-uniqueness families are also defined and considered. The subordination principle as well as many other structural characterizations of (local) exponentially equicontinuous $(a,k)$-regularized $(C_{1},C_{2})$-existence and uniqueness families are proved.