Nonlinear Functional Analysis

A-proper accretive B₁ bifurcation point bounded sets choose closed convex condition cone continuous conv convergent convex functional convex set D₁ defined Definition differential equations eigenvalue example Exercise exists F₁ F₂ finite finite-dimensional fixed point theorem Fredholm operators function given Hence Hilbert space Hint homeomorphism hyperaccretive hypermaximal implicit function theorem implies K₁ Let F let us prove linear Lipschitz lower semicontinuous maximal monotone metric multis neighbourhood nonexpansive nonlinear norm notice open bounded periodic solutions proof to Theorem properties Proposition real Banach space reflexive result satisfies semicontinuous semigroup Stanislaw Jerzy Lec strictly convex subset subspace Suppose T₁ topological uniformly convex unique solution x₁ y₁ zero