activity
20092019
most citedDifference Sequence Spaces Derived by Generalized Weighted Mean

12 citations · 28 across the 6 of their papers we have counts for

collaborators

8 papers

math.GM2019

Fixed point results for a new metric space

Murat Kirişci, Necip Şimşek, Mahmut Akyiğit

In this paper, we introduce the neutrosophic contractive and neutrosophic mapping. We establish some results on fixed points of a neutrosophic mapping.

math.GM2019

Neutrosophic metric Spaces

Murat Kirişci, Necip Şimşek

In present paper, the definition of new metric space with neutrosophic numbers is given. Several topological and structural properties have been investigated. The analogues of Bair…

math.FA2011

λ-statistical convergent function sequences in intuitionistic fuzzy normed spaces

Vatan Karakaya, Necip Şimşek, Müzeyyen Ertürk +1

Fuzzy logic was introduced by Zadeh in 1965. Since then, the importance of fuzzy logic has come increasingly to the present.There are many applications of fuzzy logic in the field…

math.FA2011

On the fine spectrum of the second order difference operator over the sequence spaces \ell_p and bv_p, (1 < p < \infty)

Vatan Karakaya, Manaf Dzh. Manafov, Necip Simsek

In general, it is well known the behaviors of the symmetric tri-band matrices on the Hilbert spaces. But the symmetric tri-band matrices have different the behavior on the Banach s…

math.FA2011

On some properties of new paranormed sequence space of non-absolute type

Vatan Karakaya, Necip Simsek, Harun Polat

In this work, we introduce some new generalized sequence space related to the space l(p). Furthermore we investigate some topological properties as the completeness, the isomorphis…

math.FA2010★ 12 cited

Difference Sequence Spaces Derived by Generalized Weighted Mean

Harun Polat, Vatan Karakaya, Necip Simsek

In this work, we define new sequence spaces by combining generalized weighted mean and difference operator. Afterward, we investigate topological structure which are completeness,…

math.FA2010★ 5 cited

On Some Geometric Properties Of Sequence Space Defined By de la Vallee-Poussin Mean

Necip Simsek

In this work, we investigate k-nearly uniform convex(k-NUC) and the uniform Opial properties of the sequence space defined by de la Vallee-Poussin mean. Also we give some corollari…

math.FA2009★ 11 cited

Some Geometric and Topological Properties of a New Sequence Space Defined by De la Vallee-Poussin Mean

Necip Simsek, Ekrem Savas, Vatan Karakaya

The main purpose of this paper is to introduce a new sequence space by using de la Vallee-Poussin mean and investigate both the modular structure with some geometric properties and…