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The aim of this chapter is to sketch applications of critical-type of fixed point theory for the block operator matrix (3.1.12) in the context of weak topology. The essential case, in which \(I - A\) is not invertible, is covered in the next section. This poses an unique challenge within the confines of traditional fixed point theory, as \((I - A)^{-1}\) does not always correspond to a single-valued operator. The results of this chapter can be found in [150,154]

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Existence Theory of Critical-Type of Fixed Point

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  • 发表日期：

    2025年

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  • Aref Jeribi,
  • Najib Kaddachi

摘要

The aim of this chapter is to sketch applications of critical-type of fixed point theory for the block operator matrix (3.1.12) in the context of weak topology. The essential case, in which \(I - A\) is not invertible, is covered in the next section. This poses an unique challenge within the confines of traditional fixed point theory, as \((I - A)^{-1}\) does not always correspond to a single-valued operator. The results of this chapter can be found in [150,154]