Du, Wei-ShihKarapinar, ErdalHe, Zhenhua2024-07-052024-07-0520182227-739010.3390/math60701172-s2.0-85050244780https://doi.org/10.3390/math6070117https://hdl.handle.net/20.500.14411/2632KARAPINAR, ERDAL/0000-0002-6798-3254In this paper, we first establish a new fixed point theorem that generalizes and unifies a number of well-known fixed point results, including the Banach contraction principle, Kannan's fixed point theorem, Chatterjea fixed point theorem, Du-Rassias fixed point theorem and many others. The presented results not only unify and generalize the existing results, but also yield several new fixed point theorems, which are different from the well-known results in the literature.eninfo:eu-repo/semantics/openAccessBanach contraction principleKannan's fixed point theoremChatterjea's fixed point theoremDu-Rassias's fixed point theoremsimultaneous generalizationM()-functionArticle