A generalization of Ćirić fixed point theorems

Abstract

In this paper, we state and prove a generalization of Ćirić fixed point theorems in metric space by using a new generalized quasi-contractive map. These theorems extend other well known fundamental metrical fixed point theorems in the literature (Banach [1], Kannan [11], Nadler [13], Reich [15], etc.) Moreover, a multi-valued version for generalized quasi-contraction is also established.