A Geometric Approach to Fixed Point Theorems for Mappings Satisfying Implicit Relations in Quasi Multiplicative Metric Spaces

Abstract

In this work, we introduce a generalized type of multiplicative metric space so-called quasi multiplicative metric space (abbreviated as q-multiplicative metric space). We state and prove fixed point theorems in this space. Also we investigate geometric properties of common fixed points in the context of the fixed-circle problem. To do this, we propose some new solutions to the fixed-circle problem on q-multiplicative metric space