Banach Contraction Principle and Applications

Praveen Agarwal,Mohamed Jleli,Bessem Samet

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

Banach Contraction Principle and Applications

Praveen Agarwal, Mohamed Jleli + Show 1 more

https://doi.org/10.1007/978-981-13-2913-5_1

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Publication Date: Jan 1, 2018

Citations: 10

Affiliation: Inspiration Innovation Synergy University, King Saud University

#Banach Contraction Principle #Fixed Point Theory + Show 8 more

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Abstract

Banach 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].

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