A nonlinear boundary problem involving the -bi-Laplacian operator.
A nonlinear boundary value problem for a system of hyperbolic partial differential equations.
A nonlinear evolution inclusion in perfect plasticity with friction.
A nonstandard fixed point result in ...
A Non-standard Version of the Borsuk-Ulam Theorem
E. Pannwitz showed in 1952 that for any n ≥ 2, there exist continuous maps φ:Sⁿ→ Sⁿ and f:Sⁿ→ ℝ² such that f(x) ≠ f(φ(x)) for any x∈ Sⁿ. We prove that, under certain conditions, given continuous maps ψ,φ:X→ X and f:X→ ℝ², although the existence of a point x∈ X such that f(ψ(x)) = f(φ(x)) cannot always be assured, it is possible to establish an interesting relation between the points f(φ ψ(x)), f(φ²(x)) and f(ψ²(x)) when f(φ(x)) ≠ f(ψ(x)) for any x∈ X, and a non-standard version of the Borsuk-Ulam...
A note fixed point theorems of Diaz and Metcalf
A note on a class of Banach algebra-valued polynomials.
A note on a mean ergodic theorem
A note on asymptotic contractions.
A note on bounds for non-linear multivalued homogenized operators
In this paper we study the behaviour of maximal monotone multivalued highly oscillatory operators. We construct Reuss-Voigt-Wiener and Hashin-Shtrikmann type bounds for the minimal sections of G-limits of multivalued operators by using variational convergence and convex analysis.
A note on close-to-normal structure
A note on “Common fixed point of multistep noor iteration with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings”.
A note on complementarity problem.
A note on fixed point theorem of Schauder type with applications
A note on geometric characterization of Fréchet differentiability
A note on Kakutani type fixed point theorems.
A note on Picard iterates of nonexpansive mappings
Let X be a Banach space, C a closed subset of X, and T:C → C a nonexpansive mapping. It has recently been shown that if X is reflexive and locally uniformly convex and if the fixed point set F(T) of T has nonempty interior then the Picard iterates of the mapping T always converge to a point of F(T). In this paper it is shown that if T is assumed to be asymptotically regular, this condition can be weakened much further. Finally, some observations are made about the geometric conditions imposed.
A note on properties that imply the fixed point property.
A note on quasi-monotone operators.
A note on singular points of convex functions in Banach spaces