http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
- 中文 을 입력하시려면 zhongwen을 입력하시고 space를누르시면됩니다.
- 北京 을 입력하시려면 beijing을 입력하시고 space를 누르시면 됩니다.
RISS 인기검색어
- 검색키워드
- 저자 : Nabanita Konwar (검색결과 1 건)
- 무료
- 기관 내 무료
- 유료
-
$I_{\lambda}$-convergence in intuitionistic fuzzy $n$-normed linear space
Nabanita Konwar,Pradip Debnath 원광대학교 기초자연과학연구소 2017 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.13 No.1
The notion of lacunary ideal convergence in intuitionistic fuzzy normed linear space (IFNLS) was introduced by the present corresponding author [P. Debnath, Lacunary ideal convergence in intuitionistic fuzzy normed linear spaces, Comput. Math. Appl., 63 (2012), 708-715] and an open problem in that paper was whether every lacunary $I$-convergent sequence is lacunary $I$-Cauchy. Further, a new concept of convergence of sequences in an intuitionistic fuzzy $n$-normed linear space (IFnNLS) was given in [M. Sen, P. Debnath, Lacunary statistical convergence in intuitionistic fuzzy $n$-normed linear spaces, Math. Comput. Modelling, 54 (2011), 2978-2985]. With the help of this new definition of convergence, the main aim of this paper is to introduce the concept of $I_{\lambda}$-convergence in an IFnNLS, where $I$ is an ideal of a family of subsets of positive integers $\mathbb{N}$. We also define $I_{\lambda}$-limit points and $I_{\lambda}$-cluster points and establish relations between them. Finally we introduce the notion of $I_{\lambda}$-Cauchy sequence in IFnNLS. We improve and extend some existing results and give a positive answer to the open problem mentioned above in the setting of an IFnNLS.
연관 검색어 추천
이 검색어로 많이 본 자료
활용도 높은 자료
