Jamieson, Fausset and Brown on Hebrews 6:11

11. And--Greek, "But."

desire--Greek, "earnestly desire." The language of fatherly affection, rather than command.

every one of you--implying that all in the Palestinian churches had not shown the same diligence as some of those whom he praises in He 6:10. "He cares alike for great and small, and overlooks none." "Every one of them," even those diligent in acts of LOVE (He 6:10), needed to be stimulated to persevere in the same diligence with a view to the full assurance of HOPE unto the end. They needed, besides love, patient perseverance, resting on hope and faith (He 10:36; 13:7). Compare "the full assurance of faith," He 10:22; Ro 4:21; 1Th 1:5.

unto the end--the coming of Christ.