Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps

被引：3
|
作者：
Hussain, Nawab [1 ]
Alsulami, Saud M. [1 ]
Alamri, Hind [1 ,2 ]
机构：
[1] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[2] Taif Univ, Coll Sci, Dept Math, POB 11099, Taif 21944, Saudi Arabia
来源：
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2023年 / 135卷 / 03期
关键词：
Common fixed points; Reich and Chatterjea mappings; Krasnoselskii-Ishikawa iteration; complete metric space; Banach space; integral equation; nonlinear fractional differential equation; THEOREMS; SPACES;
D O I：
10.32604/cmes.2023.023143
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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 P-lambda 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.
引用
收藏
页码：2617 / 2648
页数：32
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