On Variations of Quasi-Cauchy Sequences in Cone Metric Spaces
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
UNIV NIS, FAC SCI MATH
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A sequence (x(n)) of points in a topological vector space valued cone metric space (X, rho) is called p-quasi-Cauchy if for each c is an element of (K) over circle there exists an n(0) is an element of N such that rho(x(n+p), x(n)) - c is an element of (K) over circle for n >= n(0), where K is a proper, closed and convex pointed cone in a topological vector space Upsilon with (K) over circle not equal empty set. We investigate p-ward continuity in topological vector space valued cone metric spaces. It turns out that p-ward continuity coincides with uniform continuity not only on a totally bounded subset but also on a connected subset of X.
Açıklama
2nd International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM) -- JUN 03-06, 2015 -- Istanbul Commerce Univ, Fac Arts & Sci, Istanbul, TURKEY
Anahtar Kelimeler
Metric spaces, metrizability, summability, convergence, continuity, cone metric, total boundedness
Kaynak
FILOMAT
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
30
Sayı
3
