Banach Contraction Principle and Applications

Praveen Agarwal (), Mohamed Jleli and Bessem Samet
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Praveen Agarwal: Anand International College of Engineering, Department of Mathematics
Mohamed Jleli: King Saud University, Department of Mathematics, College of Sciences
Bessem Samet: King Saud University, Department of Mathematics, College of Sciences

Chapter Chapter 1 in Fixed Point Theory in Metric Spaces, 2018, pp 1-23 from Springer

Abstract: Abstract Banach contraction principleBanach contraction principle is a fundamental result in Metric Fixed Point Theory. It is a very popular and powerful tool in solving the existence problems in pure and applied sciences. In this chapter, Banach contraction principle and its converse are presented. Moreover, various applications of this famous principle, including mixed Volterra–Fredholm-type integral equations and systems of nonlinear matrix equations, are provided. Some results of this chapter appeared in [3, 5, 13, 19].

Keywords: Banach Contraction Principle; Nonlinear Matrix Equation; Fixed Point Theory; Famous Principle; Nonlinear Parabolic Boundary Value Problems (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-2913-5_1

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DOI: 10.1007/978-981-13-2913-5_1

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