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Fuzzy 2-normed spaces and its fuzzy I-topology
(Maltepe Üniversitesi, 2009) Janfada, M.; Nezhadali, A.
In this paper a fuzzy 2-norm on a vector space is introduced and a fuzzy I-topology generated with this concept is constructed. After making our elementary observations on this fuzzy topology, fuzzy continuity of functions on these spaces is studied. Next continuity of the operations of vector space under this topology is discussed and it is proved that this structure is not an I-topological vector space with respect to the I-topology.
On regularized quasi-semigroups and the evolution equation
(Maltepe Üniversitesi, 2009) Janfada, M.
In this note we introduce the notion regularized quasi-semigroups of bounded linear operators on a Banach space, as a generalization of regularized semi-groups of operators and its generator. After some examples of such semigroups the properties of this notion will be studied. Also some application of regularized quasi-semigroups in the abstract evolution equation will be considered.