Weak convergence theorems for a countable family of strict pseudocontractions in Banach spaces.
Weak convergence theorems for a system of mixed equilibrium problems and nonspreading mappings in a Hilbert space.
Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces
Weak convergence theorems of three iterative methods for strictly pseudocontractive mappings of Browder-Petryshyn type.
Weak fixed point property and Banach lattices
Weak solutions of degenerated quasilinear elliptic equations of higher order.
Weak uniform normal structure and iterative fixed points of nonexpansive mappings
This paper is concerned with weak uniform normal structure and iterative fixed points of nonexpansive mappings. Precisely, in Section 1, we show that the geometrical coefficient β(X) for a Banach space X recently introduced by Jimenez-Melado [8] is exactly the weakly convergent sequence coefficient WCS(X) introduced by Bynum [1] in 1980. We then show in Section 2 that all kinds of James' quasi-reflexive spaces have weak uniform normal structure. Finally, in Section 3, we show that in a space X with...
Weak uniform normal structure in direct sum spaces
The weak normal structure coefficient WCS(X) is computed or bounded when X is a finite or infinite direct sum of reflexive Banach spaces with a monotone norm.
Weakly compatible maps in 2-non-Archimedean Menger PM-spaces.
Weakly continuous operators. Applications to differential equations
The paper is a supplement to a survey by J. Franců: Monotone operators, A survey directed to differential equations, Aplikace Matematiky, 35(1990), 257–301. An abstract existence theorem for the equation with a coercive weakly continuous operator is proved. The application to boundary value problems for differential equations is illustrated on two examples. Although this generalization of monotone operator theory is not as general as the M-condition, it is sufficient for many technical applications....
Weakly Picard mappings
In this paper we generalize the well known converse to the contraction principle due to C. Bessaga, dropping the uniqueness of the fixed point from its hypotheses. Some properties of weakly Picard mappings are given.
Weakly sequentially continuous maps and existence principles for elliptic equations
We present a Furi-Pera type theorem for weakly sequentially continuous maps. As an application we establish new existence principles for elliptic Dirichlet problems.
Weighted boundedness for multilinear Marcinkiewicz operators on some Hardy spaces
Weighted estimates of a measure of noncompactness for maximal and potential operators.
Well-posedness and fractals via fixed point theory.
Well-posedness and regularity results for a dynamic von Kármán plate.
Weyl almost periodic selections of supports of measure-valued functions.
Wiener--Hopf equations technique for general variational inequalities involving relaxed monotone mappings and nonexpansive mappings.