Some fixed points of multivalued maps in multiplicative metric spaces

Abstract

In this manuscript, new fixed point theorems for multivalued maps, particularly α−ϕ contractions, in complete multiplicative metric spaces are proved. We further prove a fixed point theorem for multivalued mappings on a graph-equipped multiplicative metric space. Our results extend the result of Dosenovic et al. [4], and generalize the result of Ali et al. [2]. We included an example to validate our result.

Keywords

• Multiplicative metric spaces
• Multivalued maps
• α−ϕ contractions
• Graph