On some Banach space constants arising in nonlinear fixed point and eigenvalue theory.
On some classes of Volterra integral equations in Banach space
On some common fixed point theorems of Aamri and El Moutawakil in uniform spaces.
On some discontinuous fixed point mappings in convex metric spaces
On Some Fixed Point Principles for Cones in Linear Normed Spaces.
On some fixed point theorems.
On some fixed point theorems in Banach spaces.
On some geometric constants and the fixed point property for multivalued nonexpansive mappings.
On some nonlinear alternatives of Leray-Schauder type and functional integral equations
In this paper, some new fixed point theorems concerning the nonlinear alternative of Leray-Schauder type are proved in a Banach algebra. Applications are given to nonlinear functional integral equations in Banach algebras for proving the existence results. Our results of this paper complement the results that appear in Granas et. al. (Granas, A., Guenther, R. B. and Lee, J. W., Some existence principles in the Caratherodony theory of nonlinear differential system, J. Math. Pures Appl. 70 (1991),...
On some properties of Banach operators.
On some properties of Banach operators. II.
On some properties of focal points.
On the application of measure of noncompactness to existence theorems
On the common fixed point for commuting Lipschitz functions
On the connectedness of the set of fixed points of a compact operator in the Fréchet space
On the continuous dependence of the fixed points for -contractive-type operators
On the convergence and application of Stirling's method
We provide new sufficient convergence conditions for the local and semilocal convergence of Stirling's method to a locally unique solution of a nonlinear operator equation in a Banach space setting. In contrast to earlier results we do not make use of the basic restrictive assumption in [8] that the norm of the Fréchet derivative of the operator involved is strictly bounded above by 1. The study concludes with a numerical example where our results compare favorably with earlier ones.
On the convergence of Neumann series in Banach space.
Si estende un risultato di N. Suzuki sulla convergenza della serie di Neumann per un operatore compatto in uno spazio di Banach.
On the convergence of the Ishikawa iterates to a common fixed point of two mappings
Let be a convex subset of a complete convex metric space , and and be two selfmappings on . In this paper it is shown that if the sequence of Ishikawa iterations associated with and converges, then its limit point is the common fixed point of and . This result extends and generalizes the corresponding results of Naimpally and Singh [6], Rhoades [7] and Hicks and Kubicek [3].
On the convergence of the Ishikawa iteration in the class of quasi contractive operators.