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Measures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real Half-Axis

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Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

Abstract

In this chapter, we present a review of results concerning measures of noncompactness in the space of real functions defined, continuous and bounded on the real half-axis and furnished with the supremum norm. We will also investigate measures of noncompactness in a more general space of functions defined and continuous on the real half-axis and tempered by a given function. Moreover, we show the applicability of those measures of noncompactness in the theory of nonlinear functional integral equations.

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Authors and Affiliations

  1. Department of Nonlinear Analysis, Rzeszów University of Technology, al. Powstańców Warszawy 8, 35-959, Rzeszów, Poland

    Józef Banaś & Beata Rzepka

  2. Department of Mathematics, Central University of Venezuela, Paseo Los Ilustres, Urbanizacion Valle Abajo, Apartado Postal 20513, Caracas, 1020-A, Capital District, Venezuela

    Nelson Merentes

Authors
  1. Józef Banaś
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  2. Nelson Merentes
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  3. Beata Rzepka
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Correspondence to Józef Banaś .

Editor information

Editors and Affiliations

  1. Department of Nonlinear Analysis, Rzeszów University of Technology, Rzeszów, Poland

    Józef Banaś

  2. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    Mohamed Jleli

  3. Department of Mathematics, Aligarh Muslim University, Aligarh, Uttar Pradesh, India

    Mohammad Mursaleen

  4. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    Bessem Samet

  5. Dipartimento di Matematica e Informatica, University of Palermo, Palermo, Italy

    Calogero Vetro

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Banaś, J., Merentes, N., Rzepka, B. (2017). Measures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real Half-Axis. In: Banaś, J., Jleli, M., Mursaleen, M., Samet, B., Vetro, C. (eds) Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness. Springer, Singapore. https://doi.org/10.1007/978-981-10-3722-1_1

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