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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CITATION STYLE
Agarwal, P., Jleli, M., & Samet, B. (2018). Banach Contraction Principle and Applications. In Fixed Point Theory in Metric Spaces (pp. 1–23). Springer Singapore. https://doi.org/10.1007/978-981-13-2913-5_1
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