Some applications of p-(DPL) sets

In this paper, we introduce a new class of subsets bounded linear operators between Banach spaces which is called p-(DPL) sets. Then, the relationship these sets with equicompact investigated. Moreover, define p-version Right sequentially continuous differentiable mappings and get some characterizations mappings. Finally, prove that mapping f : X ? Y real Fr?chet f? takes into if only may be written in form = 1?S where intermediate space normed, S Dunford-Pettis p-convergent operator, g G?teaux additional properties.