Equivalence of some results and fixed-point theorems in S-multiplicative metric spaces

Abstract

Abstract In this paper, some fixed-point theorems are stated and proved in S-multiplicative metric spaces. We also show in this paper that some fixed-point results for various S-multiplicative metric spaces are equivalent to those of corresponding fixed-point results in S-metric spaces. Some examples are presented to validate the originality and applicability of our main results.

Keywords

• Multiplicative metric spaces
• S-metric spaces
• Usual metric spaces
• Fixed point
• Contractive maps