TY - EJOU AU - Hussain, Nawab AU - Alsulami, Saud M. AU - Alamri, Hind TI - Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps T2 - Computer Modeling in Engineering \& Sciences PY - 2023 VL - 135 IS - 3 SN - 1526-1506 AB - In this paper, we present the existence and uniqueness of fixed points and common fixed points for Reich and Chatterjea pairs of self-maps in complete metric spaces. Furthermore, we study fixed point theorems for Reich and Chatterjea nonexpansive mappings in a Banach space using the Krasnoselskii-Ishikawa iteration method associated with and consider some applications of our results to prove the existence of solutions for nonlinear integral and nonlinear fractional differential equations. We also establish certain interesting examples to illustrate the usability of our results. KW - Common fixed points; Reich and Chatterjea mappings; Krasnoselskii-Ishikawa iteration; complete metric space; Banach space; integral equation; nonlinear fractional differential equation DO - 10.32604/cmes.2023.023143