<p>Using the concept of the degree of nondensifiability in Banach algebras, we establish fixed point theorems for the product of two operators that are contractions with respect to this measure. Furthermore, we present a Krasnosel’skii-type fixed point theorem for the sum of two operators in Banach algebras.</p>

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Multivalued fixed point theorems in Banach algebra based on degree of nondensifiability and applications

  • Mohamed Aggad,
  • Abdelghani Ouahab,
  • Juan J. Nieto

摘要

Using the concept of the degree of nondensifiability in Banach algebras, we establish fixed point theorems for the product of two operators that are contractions with respect to this measure. Furthermore, we present a Krasnosel’skii-type fixed point theorem for the sum of two operators in Banach algebras.