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Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps
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作者 Nawab Hussain Saud M.Alsulami Hind Alamri 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第6期2617-2648,共32页
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 a... 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 withSλand 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. 展开更多
关键词 Common fixed points Reich and chatterjea mappings Krasnoselskii-Ishikawa iteration complete metric space Banach space integral equation nonlinear fractional differential equation
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