HR-TYPE INTERPOLATIVE AND P-CONTRACTIONS VIA MAIA TYPE RESULT IN B-METRIC SPACES WITH APPLICATIONS

The main aim of this work is to study multivalued HR-type interpolative contraction and multivalued P-contraction through ( H, .F)-contraction and C- class function, respectively via Maia type result in b- metric spaces setting. Moreover, by using the notion of multi-valued triangular alpha- admissible mappings of type Lambda, we have investigated our new findings. Some related fixed point results for such mappings are also proved in this set-up. Our results extend, generalize and modify many famous results that exist in the literature. We furnish an example to justify our new findings. As an application, we implement our results in data dependence and stability of fixed point.