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Weakly Noncompact Fixed Point Results of the Schauder and the Krasnosel’skii Type

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Abstract

Invoking the technique of measures of weak noncompactness in Banach spaces, we establish some generalized fixed point results of the Schauder and Krasnoselskii type in the context that the involved operators are not weakly compact. It is shown that the obtained results encompass and extend a number of previously known generalizations of the quoted theorems. Finally, an application is presented to illustrate the results.

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Authors and Affiliations

  1. Centre Universitaire Polydisciplinaire de Kelaa des Sraghnas, El Kelaa des Sraghna, Morocco

    Mohamed-Aziz Taoudi

  2. Laboratoire de Mathématiques et de Dynamique de Populations, Université Cadi Ayyad, Marrakech, Morocco

    Mohamed-Aziz Taoudi

  3. Department of Mathematics, Tulane University, New Orleans, LA, 70118, USA

    Tian Xiang

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  1. Mohamed-Aziz Taoudi
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  2. Tian Xiang
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Correspondence to Mohamed-Aziz Taoudi.

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Taoudi, MA., Xiang, T. Weakly Noncompact Fixed Point Results of the Schauder and the Krasnosel’skii Type. Mediterr. J. Math. 11, 667–685 (2014). https://doi.org/10.1007/s00009-013-0304-y

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  • DOI: https://doi.org/10.1007/s00009-013-0304-y

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