Nonlinear Analysis and Applications: To V. Lakshmikantham on His 80th Birthday, Band 1

absolutely continuous algorithm Anal Appl applications approximation assume assumptions Banach space bounded bounded sets Chidume closed convex compact condition constant convex functional convex subset defined Definition denotes differential equations diffusion estimate exists f(xn f(xo fixed point theorem Fréchet spaces functional f(x gh(l half-linear Hardy spaces Hence Hilbert space holds htdt implies inequality initial integral iterative Lemma linear Lipschitz continuous lower semicontinuous Malliavin calculus Math method minimal monotone nonempty nonexpansive mappings nonlinear nonoscillatory norm obtain operator oscillation Proof properties Proposition proved pseudocontractive mappings quasi-contractive raise of smoothness Remark RFK-inequality satisfies second order semicontinuous semigroup semilinear sequence Xn stochastic derivative stochastic differentiability Suppose t₁ Un+1 uniformly unique V₁ value problem variational inclusions weakly Xn+1 zero α α λη