A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals
A convergence theorem for Mann fixed point iteration procedure.
A convergent nonlinear splitting via orthogonal projection
We study the convergence of the iterations in a Hilbert space , where maps into itself and is a linear projection operator. The iterations converge to the unique fixed point of , if the operator is continuous and the Lipschitz constant . If an operator satisfies these assumptions and is an orthogonal projection such that , then the operator is defined and continuous in and satisfies .
A counter example on common periodic points of functions.
A counterexample to a theorem of Argyros
A counterexample to “An extension of Gregus fixed point theorem”.
A counterexample to the article “On the fixed points of affine nonexpansive mappings”.
A Differential Inequality for the Distance Function in Normed Linear Spaces.
A discrete fixed point theorem of Eilenberg as a particular case of the contraction principle.
A double-sequence random iteration process for random fixed points of contractive type random operators.
A dual of the compression-expansion fixed point theorems.
A final value problem for heat equation: regularization by truncation method and new error estimates.
A finite dimensional reduction of the Schauder Conjecture
Schauder’s Conjecture (i.eėvery compact convex set in a Hausdorff topological vector space has the f.p.p.) is reduced to the search for fixed points of suitable multivalued maps in finite dimensional spaces.
A fixed point approach to the stability of differential equations .
A fixed point theorem
A fixed Point Theorem and its Applications to Nonlinear Integral Equations in Banach Algebras
A fixed point theorem for a class of differentiable stable operators in Banach spaces.
A Fixed Point Theorem for a Class of Mappings.
A Fixed Point Theorem For A Class Of Mappings In Probabilistic Locally Convex Spaces
A fixed point theorem for a class of mappings in probabilistic locally convex spaces.