<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the present paper, we introduce notions of v-porosity and v-porouscontinuity. We investigate some properties of v-poroucontinuity and its connections with porouscontinuity introduced by Borsík and Holos. Moreover, we show that v-porouscontinuous functions may not belong to Baire class one.</p></abstract>

In the present paper, we introduce notions of v-porosity and v-porouscontinuity. We investigate some properties of v-poroucontinuity and its connections with porouscontinuity introduced by Borsík and Holos. Moreover, we show that v-porouscontinuous functions may not belong to Baire class one.

On Some Generalizations of Porosity and Porouscontinuity

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On Some Generalizations of Porosity and Porouscontinuity"}

In the present paper, we introduce notions of v-porosity and v-porouscontinuity. We investigate some properties of v-poroucontinuity and its connections with...

On Some Generalizations of Porosity and Porouscontinuity

Published Online: Nov 18, 2017

Page range: 13 - 28

Received: Dec 10, 2015

DOI: https://doi.org/10.1515/tmmp-2017-0002

Keywords
porosity, v-porosity, porouscontinuity, v-porouscontinuity

© 2017 Stanisław Kowalczyk et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On Some Generalizations of Porosity and Porouscontinuity

Published Online: Nov 18, 2017

Page range: 13 - 28

Received: Dec 10, 2015

DOI: https://doi.org/10.1515/tmmp-2017-0002

Keywordsporosity, v-porosity, porouscontinuity, v-porouscontinuity

© 2017 Stanisław Kowalczyk et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
porosity, v-porosity, porouscontinuity, v-porouscontinuity