Continuous Sequentially Differentiable Functions in Banach Spaces
Abstract
We gave the concepts of continuous differentiable functions that are weakly q-sequentially, and uniformly q-convergent sets. Next, we derived a sufficient condition for Banach spaces that possess the q-Schur property or do not include a copy of . Finally, we proved that, if the differentiable function ) is relatively compact, and weakly -sequentially continuous function, then ) converges to . Key words. Dunford-Pettis's property, convergent sets, bounded sets, Schur property.
Fields of Study & Subjects
Advanced Banach Space Theory
Fixed Point Theorems Analysis
Optimization and Variational Analysis
Publication details
- Journal / source
- The Scholar Journal for Sciences & Technology
- Publisher
- North Europe Academy
- Volume
- 4
- Issue
- 7
- Publication date
- 29 January 2026