Fixed point approximations via generalized MR-Kannan mappings in Banach spaces

Abstract

In this paper, we introduce a generalization of the concept of MR-Kannan type contractions and utilize this condition to derive new fixed point theorems under both contractive and non-contractive conditions. Our approach enhances various existing results related to enriched mappings.

Keywords

• completeness
• asymptotic regularity
• averaged mapping
• fixed point
• ulam-hyers stability
• well-posedness