On ℋ-Simulation Functions and Fixed Point Results in the Setting of <i>ωt</i>-Distance Mappings with Application on Matrix Equations

Abstract

The concepts of b-metric spaces and ω t -distance mappings play a key role in solving various kinds of equations through fixed point theory in mathematics and other science. In this article, we study some fixed point results through these concepts. We introduce a new kind of function namely, H -simulation function which is used in this manuscript together with the notion of ω t -distance mappings to furnish for new contractions. Many fixed point results are proved based on these new contractions as well as some examples are introduced. Moreover, we introduce an application on matrix equations to focus on the importance of our work.

Keywords

• <i>b</i>-metric spaces
• <i>ωt</i>-distance mappings
• simulation functions
• ℋ-simulation functions
• fixed point