Resolution of a fixed point problem by an incremental method and application in nonlinear elasticity
Resolvents and selections of accretive mappings in Banach spaces
Resonance in Preisach systems
This paper deals with the asymptotic behavior as of solutions to the forced Preisach oscillator equation , , where is a Preisach hysteresis operator, is a given function and is the time variable. We establish an explicit asymptotic relation between the Preisach measure and the function (or, in a more physical terminology, a balance condition between the hysteresis dissipation and the external forcing) which guarantees that every solution remains bounded for all times. Examples show...
Results on common fixed points.
Results on the existence and convergence of best proximity points.
Revisiting Cauty's proof of the Schauder conjecture.
Robinson's implicit function theorem
Robustness of Mann type algorithm with perturbed mapping for nonexpansive mappings in Banach spaces.
Schauder fixed point theorem in spaces with global nonpositive curvature.
s-coincidence and s-common fixed point theorems for two pairs of set-valued noncompatible mappings in two pairs of set-valued noncompatible mappings in metric space.
Second order difference inclusions of monotone type
The existence of anti-periodic solutions is studied for a second order difference inclusion associated with a maximal monotone operator in Hilbert spaces. It is the discrete analogue of a well-studied class of differential equations.
Second-order differential inclusions with Lipschitz right-hand sides.
Selected papers from the 10th international conference 2009 on nonlinear functional analysis and applications, Seoul, Korea, July 27--31, 2009.
Selection theorem in L¹
Let F be a multifunction from a metric space X into L¹, and B a subset of X. We give sufficient conditions for the existence of a measurable selector of F which is continuous at every point of B. Among other assumptions, we require the decomposability of F(x) for x ∈ B.
Semicompatibility and fixed point theorems in an unbounded -metric space.
Semicontinuity and continuous selections for the multivalued superposition operator without assuming growth-type conditions
Let Ω be a measure space, and E, F be separable Banach spaces. Given a multifunction , denote by the set of all measurable selections of the multifunction , s ↦ f(s,x(s)), for a function x: Ω → E. First, we obtain new theorems on H-upper/H-lower/lower semicontinuity (without assuming any conditions on the growth of the generating multifunction f(s,u) with respect to u) for the multivalued (Nemytskiĭ) superposition operator mapping some open domain G ⊂ X into , where X and Y are Köthe-Bochner...
Semi-continuity of set-valued monotone mappings
Semigroup approach to the Stefan problem with non-linear flux
Un problema di Stefan a due fasi con condizione di flusso non lineare sulla parte fissa della frontiera è affrontato mediante la teoria dei semigruppi di contrazione in . Si dimostra l'esistenza e l’unicità della soluzione nel senso di Crandall-Liggett e Bénilan.
Semi-group methods in stochastic control
Semigroup structure underlying evolutions.