A generalization of Suzuki and Ćirić fixed point theorems

This paper aims to present a generalization of the main results of Suzuki [Proc. Amer. Math. Soc. ۱۳۶(۵):۱۸۶۱--۱۸۶۹, ۲۰۰۸] and Ćirić [Proc. Amer. Math. Soc. ۴۵: ۲۶۷--۲۷۳, ۱۹۷۴]. We introduce a new class of mappings that contains several existing classes of contraction mappings as special cases. We then establish some fixed point results for this new class of mappings. We also provide illustrative examples to support our theoretical findings. Moreover, we discuss an application to delay differential equations.

کلیدواژه ها:

Fixed point ، Ćirić's quasi-contraction ، Suzuki contraction ، Semiquasi-contraction