Proper efficiency in convex vector minimum problems

A nonlinear vector minimum problem (NVMP) is considered. Kuhn-Tucker type conditions are derived which are necessary for an efficient solution and sufficient for a properly efficient solution. These results imply that under a constraint qualification every efficient solution of a convex vector minimum problem is properly efficient. Moreover, Fritz John type necessary and sufficient conditions for an efficient solution of NVMP are also obtained and an example is discussed to illustrate the results.