DOI: 10.24193/fpt-ro.2025.1.11

Authors: Hadi Khatibzadeh and Mahnaz Rezaei

Abstract: We present some coercivity conditions for accretive operators, which are the modified versions of the coercivity conditions in the literature for monotone operators in Hilbert and Banach spaces. We prove that the non-emptiness and boundedness of the zero set of an m-accretive operator are equivalent to these coercivity conditions.

Key Words and Phrases: Accretive operator, m-accretive, coercivity condition, resolvent, zero of accretive operator.

2010 Mathematics Subject Classification: 47H05, 47H06.

Published on-line: February 1st, 2025.

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