Abstract :

: In this article, we introduce the concept of generalized twisted (α,β)-ψ contractive type mappings and establish fixed point theorems for such mappings in complete generalized metric spaces. In particular, we define the concept of twisted (α,β)-admissible mappings and show how these mappings can be used to obtain fixed points. As a consequence of our main results, we derive fixed point theorems for cyclic partial orders in generalized metric spaces. Our results extend and improve upon existing theorems in the literature. We provide examples and applications to demonstrate the main results and to show the novelty of our work