DOI: 10.24193/fpt-ro.2020.2.35

Authors: S. Ghasemzadehdibagi, M. Asadi and S. Haghayeghi

Abstract: Here, the concept of continuous s-point space is introduced in b-metric spaces. Under suitable assumptions, these spaces are absolute retracts and a generalization of the continuous midpoint spaces. Moreover, an important fixed point theorem is proved for nonexpansive mappings in continuous s-point spaces.

Key Words and Phrases: Continuous s-point spaces, b-metric spaces, nonexpansive mappings.

2010 Mathematics Subject Classification: 47H10, 51D99, 47H10.

Published on-line: July 1st, 2020.

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