𝑁𝜃-Ward Continuity
A function 𝑓 is continuous if and only if 𝑓 preserves convergent sequences; that is, (𝑓(𝛼𝑛)) is a convergent sequence whenever (𝛼𝑛) is convergent. The concept of 𝑁𝜃-ward continuity is defined in the sense that a function 𝑓 is 𝑁𝜃-ward continuous if it preserves 𝑁𝜃-quasi-Cauchy sequences; that is, (𝑓(...
Main Author: | Huseyin Cakalli |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2012-01-01
|
Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2012/680456 |
Similar Items
-
Strongly Lacunary Ward Continuity in 2-Normed Spaces
by: Hüseyin Çakalli, et al.
Published: (2014-01-01) -
A variation on arithmetic continuity
by: Huseyin Cakalli
Published: (2017-10-01) -
Corrigendum to the paper entitled "A variation on arithmetic continuity" published in Boletim da Sociedade Paranaense de Matematica Volume 35, Issue 3 (2017), Pages 195-202
by: Huseyin Cakalli
Published: (2019-04-01) -
New Type Continuities via Abel Convergence
by: Huseyin Cakalli, et al.
Published: (2014-01-01) -
Slowly Oscillating Continuity
by: H. Çakalli
Published: (2008-01-01)