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The main results concern local boundedness of maximal <jats:italic>e<\/jats:italic>-monotone operators, maximal 2<jats:italic>e<\/jats:italic>-monotonicity of the Clarke\u2013Rockafellar subdifferential <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\partial ^{CR}f$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:msup>\n                      <mml:mi>\u2202<\/mml:mi>\n                      <mml:mrow>\n                        <mml:mi>CR<\/mml:mi>\n                      <\/mml:mrow>\n                    <\/mml:msup>\n                    <mml:mi>f<\/mml:mi>\n                  <\/mml:mrow>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> for an <jats:italic>e<\/jats:italic>-convex function <jats:italic>f<\/jats:italic>, and the characterization of <jats:italic>e<\/jats:italic>-monotonicity of an operator <jats:italic>T<\/jats:italic> via the behaviour of its <jats:italic>e<\/jats:italic>-Fitzpatrick function outside the graph of <jats:italic>T<\/jats:italic>.<\/jats:p>","DOI":"10.1007\/s10898-024-01435-8","type":"journal-article","created":{"date-parts":[[2024,10,5]],"date-time":"2024-10-05T02:01:50Z","timestamp":1728093710000},"page":"155-170","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On e-monotonicity and maximality of operators in Banach spaces"],"prefix":"10.1007","volume":"91","author":[{"given":"M. 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