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Fixed-Point Theory for Weakly Sequentially Upper-Semicontinuous Maps with Applications to Differential Inclusions

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Nonlinear Oscillations

Abstract

We present new fixed-point theorems for weakly sequentially upper-semicontinuous maps. These results are then used to establish existence principles for second-order differential equations and inclusions.

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Authors and Affiliations

  1. Florida Institute of Technology, Melbourne, Florida, USA

    R. P. Agarwal

  2. National University of Ireland, Galway, Ireland

    D. O'Regan

Authors
  1. R. P. Agarwal
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  2. D. O'Regan
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Agarwal, R.P., O'Regan, D. Fixed-Point Theory for Weakly Sequentially Upper-Semicontinuous Maps with Applications to Differential Inclusions. Nonlinear Oscillations 5, 277–286 (2002). https://doi.org/10.1023/A:1022312305912

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