On boundedness of superposition operators in spaces of Triebel-Lizorkin type
On calculation of the relative index of a fixed point in the nondegenerate case.
On Caristi's fixed point theorem in F-type topological spaces.
On characterization of the Lipschitzian composition operator between spaces of functions of bounded -variation
On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications.
On common fixed and periodic points of commuting functions.
On common fixed point theorems for three and four self mappings satisfying contractive conditions
In this contribution, we discuss some unique common fixed point theorems for three and four occasionally weakly compatible mappings satisfying different types of contractive condition.
On common fixed points.
On common fixed points in locally convex topological vector space.
On common fixed points of asymptotically nonexpansive mappings in the intermediate sense
Some strong convergence theorems of common fixed points of asymptotically nonexpansive mappings in the intermediate sense are obtained. The results presented in this paper improve and extend the corresponding results in Huang, Khan and Takahashi, Chang, Schu, and Rhoades.
On common fixed points of compatible mappings in metric and Banach spaces.
On common fixed points of nonself two point and two set Coincidentally Commuting maps in Metrically convex metric spaces
On common fixed points of pairs of a single and a multivalued coincidentally commuting mappings in -metric spaces.
On condensing discrete dynamical systems
In the paper the fundamental properties of discrete dynamical systems generated by an -condensing mapping ( is the Kuratowski measure of noncompactness) are studied. The results extend and deepen those obtained by M. A. Krasnosel’skij and A. V. Lusnikov in [21]. They are also applied to study a mathematical model for spreading of an infectious disease investigated by P. Takac in [35], [36].
On continuous composition operators
Let I ⊂ ℝ be an interval, Y be a normed linear space and Z be a Banach space. We investigate the Banach space Lip₂(I,Z) of all functions ψ: I → Z such that , where [r,s,t;ψ]:= ((s-r)ψ(t)+(t-s)ψ(r)-(t-r)ψ(s))/((t-r)(t-s)(s-r)). We show that ψ ∈ Lip₂(I,Z) if and only if ψ is differentiable and its derivative ψ’ is Lipschitzian. Suppose the composition operator N generated by h: I × Y → Z, (Nφ)(t):= h(t,φ(t)), maps the set (I,Y) of all affine functions φ: I → Y into Lip₂(I,Z). We prove that if N is...
On contraction-type mappings on a 2-normed space
On contractive mappings in metric spaces
On coupled random fixed point results in partially ordered metric spaces
On Differential Inclusions with Unbounded Right-Hand Side
2000 Mathematics Subject Classification: 58C06, 47H10, 34A60.The classical Filippov’s Theorem on existence of a local trajectory of the differential inclusion [x](t) О F(t,x(t)) requires the right-hand side F(·,·) to be Lipschitzian with respect to the Hausdorff distance and then to be bounded-valued. We give an extension of the quoted result under a weaker assumption, used by Ioffe in [J. Convex Anal. 13 (2006), 353-362], allowing unbounded right-hand side.
On differentiation of metric projections in finite dimensional Banach spaces