Hybrid iteration method for fixed points of nonexpansive mappings in arbitrary Banach spaces.
Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces.
Hybrid methods for equilibrium problems and fixed points problems of a countable family of relatively nonexpansive mappings in Banach spaces.
Hybrid projection algorithms for generalized equilibrium problems and strictly pseudocontractive mappings.
Hybrid proximal-point methods for zeros of maximal monotone operators, variational inequalities and mixed equilibrium problems.
Hybrid proximal-type algorithms for generalized equilibrium problems, maximal monotone operators, and relatively nonexpansive mappings.
Hyperbolic monotonicity in the Hilbert ball.
Hyperconvex spaces and fixed points.
Hyperinvariante Teilräume stetiger Abbildungen in topologischen Vektorräumen.
Hysteresis in Urysohn-Volterra systems.
Hysteresis memory preserving operators
The recent development of mathematical methods of investigation of problems with hysteresis has shown that the structure of the hysteresis memory plays a substantial role. In this paper we characterize the hysteresis operators which exhibit a memory effect of the Preisach type (memory preserving operators). We investigate their properties (continuity, invertibility) and we establish some relations between special classes of such operators (Preisach, Ishlinskii and Nemytskii operators). For a general...
Hysteresis operators in phase-field models of Penrose-fife type
Phase-field systems as mathematical models for phase transitions have drawn a considerable attention in recent years. However, while they are suitable for capturing many of the experimentally observed phenomena, they are only of restricted value in modelling hysteresis effects occurring during phase transition processes. To overcome this shortcoming of existing phase-field theories, the authors have recently proposed a new approach to phase-field models which is based on the mathematical theory...