𝓗(ω,θ)-CONTRACTION AND SOME NEW FIXED POINT RESULTS IN MODIFIED ω-DISTANCE MAPPINGS VIA COMPLETE QUASI METRIC SPACES AND APPLICATION

Abstract

In this manuscript, we establish the concept of 𝓗(ω, θ)-contraction which based on modified ω distance mappings which introduced by Alegre and Marin [4] in 2016 and 𝓗 simulation functions which introduced by Bataihah et.al. [14] in 2020 and we employ our contraction to prove the existence and uniqueness some new fixed point results. On the other hand, we create some examples and an application to show the importance of our results.