Discussions on Recent Results for α - ψ -Contractive Mappings

Abstract

We establish certain fixed point results for $\alpha \text{-}\eta$-generalized convex contractions, $\alpha \text{-}\eta$-weakly Zamfirescu mappings, and $\alpha \text{-}\eta$-Ćirić strong almost contractions. As an application, we derive some Suzuki type fixed point theorems and certain new fixed point theorems in metric spaces endowed with a graph and a partial order. Moreover, we discuss some illustrative examples to highlight the realized improvements.