Bifurcation points and asymptotic bifurcation points of nonlinear operators in M-PN spaces

In the paper, the new concepts of bifurcation points and asymptotic bifurcation points of the compact continuous operator TT are introduced in M-PN spaces. Some sufficient conditions for the existence of bifurcation points and asymptotic bifurcation points are obtained, and some theorems on the existence of intrinsic values are obtained. Meanwhile some theorems are generalized.