Four-Step Iteration Scheme to Approximate Fixed Point for Weak Contractions

Fixed point theory is one of the most important subjects in the setting of metric spaces since fixed point theorems can be used to determine the existence and the uniqueness of solutions of such mathematical problems. It is known that many problems in applied sciences and engineering can be formulat...

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Bibliographic Details
Published inComputers, materials & continua Vol. 64; no. 3; pp. 1491 - 1504
Main Authors Shatanawi, Wasfi, Bataihah, Anwar, Tallafha, Abdalla
Format Journal Article
LanguageEnglish
Published Henderson Tech Science Press 01.01.2020
Subjects
Differential equations
Existence theorems
Fixed points (mathematics)
Functional equations
Iterative methods
Mapping
Mathematical analysis
Mathematical problems
Metric space
Uniqueness
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Summary:Fixed point theory is one of the most important subjects in the setting of metric spaces since fixed point theorems can be used to determine the existence and the uniqueness of solutions of such mathematical problems. It is known that many problems in applied sciences and engineering can be formulated as functional equations. Such equations can be transferred to fixed point theorems in an easy manner. Moreover, we use the fixed point theory to prove the existence and uniqueness of solutions of such integral and differential equations. Let X be a non-empty set. A fixed point for a self-mapping T on X is a point
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ISSN:1546-2226
1546-2218
1546-2226
DOI:10.32604/cmc.2020.010365