A variant of a fixed point theorem of Browder-Fan and Reich.
A viscosity-proximal gradient method with inertial extrapolation for solving certain minimization problems in Hilbert space
In this paper, we study the strong convergence of the proximal gradient algorithm with inertial extrapolation term for solving classical minimization problem and finding the fixed points of -demimetric mapping in a real Hilbert space. Our algorithm is inspired by the inertial proximal point algorithm and the viscosity approximation method of Moudafi. A strong convergence result is achieved in our result without necessarily imposing the summation condition on the inertial term. Finally, we provide...
About one fixed point theorem.
About robust stability of dynamic systems with time delays through fixed point theory.
Abstract semilinear equations with small nonlinearities
Addendum to the paper: “Some fixed point theorems for multivalued mappings”
Admissible maps, intersection results, coincidence theorems
We obtain generalizations of the Fan's matching theorem for an open (or closed) covering related to an admissible map. Each of these is restated as a KKM theorem. Finally, applications concerning coincidence theorems and section results are given.
Affine Flows and Distal Points.
Algorithmes de relaxation chaotique à retards
Algorithms of common solutions to generalized mixed equilibrium problems and a system of quasivariational inclusions for two difference nonlinear operators in Banach spaces.
Algunas Aproximaciones Sucesivas Para Las Aplicaciones En La Clase D (a,b).
Almost fixed points of semigroups of non-expansive mappings
An abstract Cauchy problem for higher order functional differential inclusions with infinite delay
The existence results for an abstract Cauchy problem involving a higher order differential inclusion with infinite delay in a Banach space are obtained. We use the concept of the existence family to express the mild solutions and impose the suitable conditions on the nonlinearity via the measure of noncompactness in order to apply the theory of condensing multimaps for the demonstration of our results. An application to some classes of partial differential equations is given.
An algorithm based on resolvent operators for solving positively semidefinite variational inequalities. (An algorithm based on resolvant operators for solving positively semidefinite variational inequalities.)
An application of fixed point theorems in best approximation theory.
An application of KKM-map principle.
An Approximation Method in Asymptotic Fixed Point Theory.
An approximation procedure for fixed points of strongly Lipschitz operators.
An continuation results for Fredholm integral equations on locally convex spaces.
An example for a one-parameter nonexpansive semigroup.