We examine the solvability of multilinear equations of the formMk(x,x,…,x)−k times−=y, k=2,3,…where Mk is a k-linear operator on a Banach space X and y∈X is fixed
We introduce and study a new class of nonlinear general -monotone operator equations with multival...
AbstractLet X be a Banach space, let K(X):={f:X→X Lipschitz:‖f−id‖sup<∞}, and let P:K(X)→K(X), F∈K(X...
It was shown by Bushell [1] that the equation t′xt = x2 has a unique positive-definite solution when...
ABSTRACT. We examine the solvability of multilinear equations of the form (x,x x) y, k,-k times-wher...
We find new sufficient conditions for the uniqueness of solutions of quadratic and in general multil...
Abstract Let A(k)u(k) = f(k)(1) be an operator equation, X and Y are Banach spaces, k ∈ ∆ ⊂ C is ...
Multiplicity results for sign-changing solutions of an operator equation in ordere
AbstractWe introduce a new family of multipoint methods to approximate a solution of a nonlinear ope...
. In this study we provide weak sufficient conditions for the convergence of iterations to points of...
Using a generalization of the Borsuk Ulam theorem to multivalued maps we study the existence of solu...
AbstractLet U and V be Hilbert spaces, L: U→V be a bounded linear operator, and N: U→V be a nonlinea...
This paper deals with the semilinear multivalued evolution equationx'(t) + A(t)x(t) Є F(t, x(t)), t ...
The authors consider the method (1)x2n+1:=x2nf(x2n)1f(x2n),x2n+2:=x2n+134H(I32H)(x2n+1x2n),H:=H(x2n,...
In this talk nonlinear operator equations of the form F (x) = 0 (1) are considered. We formulate su...
The existence and uniqueness for solution of systems of some binary nonlinear operator equations are...
We introduce and study a new class of nonlinear general -monotone operator equations with multival...
AbstractLet X be a Banach space, let K(X):={f:X→X Lipschitz:‖f−id‖sup<∞}, and let P:K(X)→K(X), F∈K(X...
It was shown by Bushell [1] that the equation t′xt = x2 has a unique positive-definite solution when...
ABSTRACT. We examine the solvability of multilinear equations of the form (x,x x) y, k,-k times-wher...
We find new sufficient conditions for the uniqueness of solutions of quadratic and in general multil...
Abstract Let A(k)u(k) = f(k)(1) be an operator equation, X and Y are Banach spaces, k ∈ ∆ ⊂ C is ...
Multiplicity results for sign-changing solutions of an operator equation in ordere
AbstractWe introduce a new family of multipoint methods to approximate a solution of a nonlinear ope...
. In this study we provide weak sufficient conditions for the convergence of iterations to points of...
Using a generalization of the Borsuk Ulam theorem to multivalued maps we study the existence of solu...
AbstractLet U and V be Hilbert spaces, L: U→V be a bounded linear operator, and N: U→V be a nonlinea...
This paper deals with the semilinear multivalued evolution equationx'(t) + A(t)x(t) Є F(t, x(t)), t ...
The authors consider the method (1)x2n+1:=x2nf(x2n)1f(x2n),x2n+2:=x2n+134H(I32H)(x2n+1x2n),H:=H(x2n,...
In this talk nonlinear operator equations of the form F (x) = 0 (1) are considered. We formulate su...
The existence and uniqueness for solution of systems of some binary nonlinear operator equations are...
We introduce and study a new class of nonlinear general -monotone operator equations with multival...
AbstractLet X be a Banach space, let K(X):={f:X→X Lipschitz:‖f−id‖sup<∞}, and let P:K(X)→K(X), F∈K(X...
It was shown by Bushell [1] that the equation t′xt = x2 has a unique positive-definite solution when...
DOI
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