FIXED POINT THEOREMS FOR ADMISSIBLE HYBRID CONTRACTION IN G-METRIC SPACES

Abstract

In the present manuscript, we introduce a new notion of (G-β-ψ)-admissible hybrid contraction in G-metric spaces. In addition to this, some fixed point results are also proved for such type of contraction. An example is also provided to support the validity of our result. We further examine Ulam-type stability and well-posedness for the new contraction proposed herein. As an application of an integral equation is also solved by making use of our results.