On the existence result for system of generalized strong vector quasiequilibrium problems.
On the existence theorems of Kantorovich, Miranda and Borsuk.
On the fixed point index of non-compact mappings
On the fixed point property in direct sums of Banach spaces with strictly monotone norms
It is shown that if a Banach space X has the weak Banach-Saks property and the weak fixed point property for nonexpansive mappings and Y has the asymptotic (P) property (which is weaker than the condition WCS(Y) > 1), then X ⊕ Y endowed with a strictly monotone norm enjoys the weak fixed point property. The same conclusion is valid if X admits a 1-unconditional basis.
On the Fixed Point Set of Nonexpansive Order Preserving Maps.
On the fixed points of affine nonexpansive mappings.
On the fixed points of nonexpansive mappings in direct sums of Banach spaces
We show that if a Banach space X has the weak fixed point property for nonexpansive mappings and Y has the generalized Gossez-Lami Dozo property or is uniformly convex in every direction, then the direct sum X ⊕ Y with a strictly monotone norm has the weak fixed point property. The result is new even if Y is finite-dimensional.
On the fixed-point property of unital uniformly closed subalgebras of .
On the fixed-point set of a family of relatively nonexpansive and generalized nonexpansive mappings.
On the Functional--integral Equation of Volterra Type With Weakly Singular Kernel
On the general minimax theorem
On the generalizations of Siegel's fixed point theorem.
In this paper, we establish a new version of Siegel's fixed point theorem in generating spaces of quasi-metric family. As consequences, we obtain general versions of the Downing-Kirk's fixed point and Caristi's fixed point theorem in the same spaces. Some applications of these results to fuzzy metric spaces and probabilistic metric spaces are presented.
On the generalized strongly nonlinear implicit quasivariational inequalities for set-valued mappings.
On the geometric characterization of differentiability. I.
On the geometric characterization of differentiability. II.
On the Hammerstein integral equations in Banach spaces
On the homotopical classification of DJ-mappings of infnitely dimensional spheres
On the H-property and rotundity of Cesàro direct sums of Banach spaces
In this paper, we define the direct sum of Banach spaces X₁,X₂,..., and Xₙ and consider it equipped with the Cesàro p-norm when 1 ≤ p < ∞. We show that has the H-property if and only if each has the H-property, and has the Schur property if and only if each has the Schur property. Moreover, we also show that is rotund if and only if each is rotund.
On the ishikawa iteration process in Hilbert spaces.
On the iterative process of solving nonlinear operator equations in PTL-spaces