An object of the present invention is to provide a novel production method of ethylene-based ionomer having excellent mechanical properties and heat resistance which exhibits remarkably excellent breaking elongation, breaking stress, and strain hardening, and has a high melting point. The present invention relates to a production method of an ethylene-based ionomer including a heating conversion step of heating a specific ethylene/unsaturated carboxylic acid ester copolymer and converting the ester group in the copolymer into a metal-containing carboxylate containing a metal ion of Group 1, 2, or 12 of the periodic table.

An object of the present invention is to provide a novel production method of ethylene-based ionomer having excellent mechanical properties and heat resistance which exhibits remarkably excellent breaking elongation, breaking stress, and strain hardening, and has a high melting point. The present invention relates to a production method of an ethylene-based ionomer including a heating conversion step of heating a specific ethylene/unsaturated carboxylic acid ester copolymer and converting the ester group in the copolymer into a metal-containing carboxylate containing a metal ion of Group 1, 2, or 12 of the periodic table.

An object of the present invention is to provide a novel catalyst for olefin (co)polymer production, which has high activity without using a large amount of a cocatalyst and is aimed for obtaining a particulate olefin (co)polymer. The invention relates to an olefin polymerization catalyst which comprises: a solid carrier (1) that has been brought into contact with a specific compound; and a metal catalyst component (2) that contains a transition metal compound (C) containing a transition metal M belonging to Group 9, 10, or 11 of the periodic table and has a reactive group R.sup.a.

An object of the present invention is to provide a novel catalyst for olefin (co)polymer production, which has high activity without using a large amount of a cocatalyst and is aimed for obtaining a particulate olefin (co)polymer. The invention relates to an olefin polymerization catalyst which comprises: a solid carrier (1) that has been brought into contact with a specific compound; and a metal catalyst component (2) that contains a transition metal compound (C) containing a transition metal M belonging to Group 9, 10, or 11 of the periodic table and has a reactive group R.sup.a.

An object of the present invention is to provide a novel catalyst for olefin (co)polymer production, which has high activity without using a large amount of a cocatalyst and is aimed for obtaining a particulate olefin (co)polymer. The invention relates to an olefin polymerization catalyst which comprises: a solid carrier (1) that has been brought into contact with a specific compound; and a metal catalyst component (2) that contains a transition metal compound (C) containing a transition metal M belonging to Group 9, 10, or 11 of the periodic table and has a reactive group R.sup.a.

An object of the present invention is to provide a novel catalyst for olefin (co)polymer production, which has high activity without using a large amount of a cocatalyst and is aimed for obtaining a particulate olefin (co)polymer. The invention relates to an olefin polymerization catalyst which comprises: a solid carrier (1) that has been brought into contact with a specific compound; and a metal catalyst component (2) that contains a transition metal compound (C) containing a transition metal M belonging to Group 9, 10, or 11 of the periodic table and has a reactive group R.sup.a.