q-ROF mappings and Suzuki type common fixed point results in b-metric spaces with application

Abstract

Abstract In the present paper the concepts of q-rung orthopair fuzzy mappings (q-ROF mapping) and q-rung ( α , β ) $( \alpha ,\beta ) $ -cuts are introduced. Some common fixed point results for q-ROF mappings are presented in b-metric spaces using Suzuki-type contractive conditions. Examples in support of obtained results are also presented. We have also presented an application of our result for the existence of solution of nonlinear fractional integral inclusion. The results are of their own kind in the literature of q-ROF sets and will pave the way for further research in the area.

Keywords

• q-ROF sets
• q-ROF mapping
• Suzuki contractive conditions
• b-metric spaces