An admissible Hybrid contraction with an Ulam type stability

Abstract

In this manuscript, we introduce a new hybrid contraction that unify several nonlinear and linear contractions in the set-up of a complete metric space. We present an example to indicate the genuine of the proved result. In addition, we consider Ulam type stability and well-posedness for this new hybrid contraction.

Keywords

• admissible mappings
• hybrid contractions
• fixed point
• metric space
• 47h10
• 54h25
• 46j10