An application of the Leray-Schauder degree theory to boundary value problem for third and fourth order differential equations depending on the parameter
An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings
We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel-Whitney classes.
An approximation method for continuous pseudocontractive mappings.
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 elliptic equation with no monotonicity condition on the nonlinearity
An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a nontrivial solution is proven via variational methods. The domain of the equation is unbounded, which imposes a lack of compactness on the variational problem. In addition, a popular monotonicity condition on the nonlinearity is not assumed. In an earlier paper with this assumption, a solution was obtained using a simple application of topological (Brouwer) degree. Here, a more subtle degree...
An example for a one-parameter nonexpansive semigroup.
An existence and uniqueness result for semilinear equations with Lipschitz nonlinearity.
An existence result for nonlinear evolution equations of second order
In this paper we consider a second order differential equation involving the difference of two monotone operators. Using an auxiliary equation, a priori bounds and a compactness argument we show that the differential equation has a local solution. An example is also presented in detail.
An existence theorem for an implicit nonlinear evolution equation.
An Existence Theorem for Class of Non-Coercive Optimization and Variational Problems.
An existence theorem for differential inclusions on Banach space.
An existence theorem for the Urysohn integral equation in Banach spaces
An explicit construction of sunny nonexpansive retractions in Banach spaces.
An extension of a best approximation theorem.
An extension of A. Ostrowski's Theorem on the round-off stability of iterations.
An extension of a theorem of Sahab, Khan, and Sessa.
An extension of Fan's fixed point theorem and equilibrium point of an abstract economy
An extension of Gregus fixed point theorem.