## New non-Abelian black hole solutions in Born-Infeld gravity

We introduce new black hole solutions to the Einstein-Yang-Mills-Born-Infeld (EYMBI), Einstein-Yang-Mills-Born-Infeld-Gauss-Bonnet (EYMBIGB), and Einstein-Yang-Mills-Born-Infeld-Gauss-Bonnet-Lovelock (EYMBIGBL) gravities in higher dimensions N{>=}5 to investigate the roles of Born-Infeld parameter {beta}. It is shown that these solutions in the limits of {beta}{yields}0 and {beta}{yields}{infinity} represent pure gravity and gravity coupled with Yang-Mills fields, respectively. For 0<{beta}<{infinity} it yields a variety of black holes, supporting even regular ones at r=0.