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Maximal and Minimal Fixed Points of Discontinuous Increasing Operators with Applications*

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Abstract

We obtain some new existence theorems for the maximal and minimal fixed points of discontinuous increasing operators. As applications, we consider the existence of the maximal and minimal solutions of nonlinear integro-differential equations with discontinuous terms in Banach spaces. Our results generalize and improve many well-known conclusions.

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Authors and Affiliations

  1. DEPARTMENT OF MATHEMATICS, SHANDONG FINANCE INSTITUTE, JINAN, SHANDONG, 250014, PEOPLE'S REPUBLIC OF CHINA

    Jinqing Zhang

  2. DEPARTMENT OS FINANCE, FUDAN UNIVERSITY, SHANGHAI, 200433, PEOPLE'S REPUBLIC OF CHINA

    Jinqing Zhang

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  1. Jinqing Zhang
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Zhang, J. Maximal and Minimal Fixed Points of Discontinuous Increasing Operators with Applications* . Acta Mathematica Hungarica 90, 1–10 (2001). https://doi.org/10.1023/A:1006724904639

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  • DOI: https://doi.org/10.1023/A:1006724904639

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