Rough convergence in 2-normed spaces

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 2018 Turkey Publisher:University of Prishtina, Department of Mathematics and Computer Sciences, Prishtina

Authors: Arslan, Mukaddes; Dündar, Erdinç;

handle: 11630/8106 , 11630/7817 , 11630/21466

Rough convergence in 2-normed spaces

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Abstract

Summary: We introduce the notions of rough convergence, rough Cauchy sequence and the set of rough limit points of a sequence and obtain rough convergence criteria associated with this set in 2-normed spaces. Later, we prove that this set is closed and convex. Finally, we examine the relations between rough convergence and rough Cauchy sequence in 2-normed spaces.

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Turkey

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Keywords

rough Cauchy sequence, Rough Cauchy sequence, 2-Normed Spaces, Rough Cauchy Sequence, Convergence and divergence of series and sequences, I-Convergence, Rough Convergence, Summability in abstract structures, rough convergence, Rough convergence, 2-normed space

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