Some surjectivity results for operators of generalized monotone type via a topological degree


Hong, Suk-Joon and Kim, In-Sook


Abstract

carpathian_2018_34_3_333_340_abstract

We introduce a topological degree for a class of operators of generalized monotone type in reflexive Banach spaces, based on the recent Berkovits degree. Using the degree theory, we give some surjectivity results for operators of generalized monotone type in reflexive Banach spaces. In the Hilbert space case, this reduces to the celebrated Browder-Minty theorem for monotone operators.

 

 

 

Additional Information

Author(s)

Hong, S.-J., Kim, I.-S.