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I-convergence and I-Cauchy sequence of functions in 2-normed spaces
(Konuralp Journal of Mathematics, 2018)
In this paper, we study concepts of I-convergence, I*-convergence, I-Cauchy and I*-Cauchy sequences of functions and investigate relationships between them and some properties in 2-normed spaces.
Wijsman I-invariant convergence of sequences of sets
(Bulletin of Mathematical Analysis and Applications, 2019)
In this paper, we study the concepts of Wijsman I-invariant convergence (I^W_σ ), Wijsman I*-invariant convergence (I*^Wσ ), Wijsman p-strongly invariant convergence ([W Vσ]p) of sequences of sets and investigate the ...
Regularly ideal convergence and regularly ideal cauchy double sequences in 2-normed spaces
(Algerian-Turkish International Days on Mathematics 2013, 2013)
In this paper, we introduce the notions of (I_2; I), (I*_2 ; I*)-convergence and (I_2; I), (I*_2 ; I*)-Cauchy double sequence in regular sense in 2-normed spaces. Also, we study some properties of these concepts.
I_2-Lacunary statistical convergence of double sequences of sets
(International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2015), 2015)
In this paper, we introduce the concepts of the Wijsman
I2-statistical convergence, Wijsman I2-lacunary statistical
convergence and Wijsman strongly I2-lacunary convergence of
double sequences of sets and investigate ...
On ideal invariant convergence of double sequences and some properties
(Creative Mathematics and Informatics, 2018)
In this paper, we study the concepts of invariant convergence, p-strongly invariant convergence
([V_2σ ]p), I2-invariant convergence (I^σ_2), I∗_2-invariant convergence (I^σ∗_2) of double sequences and investigate the ...
Asymptotically lacunary I_σ-equivalence of sequences of sets
(2018)
In this study, we introduce the concepts of Wijsman p-strongly asymptotically lacunary invariant equivalence ([W_{N_{θσ}}^L ]_p), Wijsman asymptotically lacunary I-invariant equivalence (W_{I_{σθ}}^L) and Wijsman asymptotically ...
I_σ-convergence
(Department of Mathematics, University of Osijek, 2011)
In this paper, the concepts of σ-uniform density of subsets A of the set N of positive integers and corresponding I_σ-convergence were introduced. Furthermore, inclusion relations between I_σ-convergence and invariant ...
I-Cesàro summability of sequences of sets
(International Conference on Pure and Applied Mathematics, 2015)
In this paper, we defined concept of Wijsman I-Cesàro summability for sequences of sets and investigate the relationship between the concepts of Wijsman strongly I-Cesàro summability, Wijsman strongly I-lacunary summability, ...
Asymptotically I_2-Cesàro equivalence of double sequences of sets
(International Conference on Analysis and Its Applications, 2016)
In this paper, we defined the concepts of asymptotically I_2-Cesàro equivalence and investigate the relationships between the concepts of asymptotically strongly I_2-Cesàro equivalence, asymptotically strongly I_2-lacunary ...
Asymptotically lacunary I-invariant statistical equivalence of sequences of sets defined by a modulus function
(2018)
In this paper, we introduce the concepts of strongly asymptotically lacunary I-invariant equivalence, f-asymptotically lacunary I-invariant equivalence, strongly f-asymptotically lacunary I-invariant equivalence and ...