%0 Journal Article %T GENERAL EXISTENCE FOR MINIMUM PROBLEMS IN BANACH SPACES %A SILVIU SBURLAN %J Journal of Science and Arts %D 2012 %I Bibliotheca Publishing House %X In this note we give some extensions of a recent result concerning the minimum problems in Banach spaces. These extensions are based on the fact that the topological degree of a coercive map is one and this still remains true for a pseudomonotone potential map between a reflexive Banach space and its dual space. Some considerations concerning the minimum problem and the solution property of degree required in applications are also appended. %K Topological degree %K Potential operators %K Pseudomonotone maps. %U http://www.icstm.ro/DOCS/josa/josa_2012_4/a_04_Silviu_Sburlan.pdf