Abstract
A new convergence criteria using the concept of semi-interior points has been defined in E-metric spaces with non-solid and non-normal set of positive elements E+ of a real normed space E, also known as a positive cone. Many examples are provided to insure the existence of semi-interior points of E+ with empty interior. New generalizations of Banach, Kannan and Chatterjea fixed point theorems are proved.
Original language | English |
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Pages (from-to) | 1101-1111 |
Number of pages | 11 |
Journal | Positivity |
Volume | 23 |
Issue number | 5 |
DOIs | |
Publication status | Published - Nov 1 2019 |
Keywords
- Fixed points
- Non-solid cones
- Semi-interior points
- e-Convergence
ASJC Scopus subject areas
- Analysis
- Theoretical Computer Science
- General Mathematics