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.
Semigroups and generators on convex domains with the hyperbolic metric
Let be domain in a complex Banach space , and let be a pseudometric assigned to by a Schwarz-Pick system. In the first section of the paper we establish several criteria for a mapping to be a generator of a -nonexpansive semigroup on in terms of its nonlinear resolvent. In the second section we let be a complex Hilbert space, the open unit ball of , and the hyperbolic metric on . We introduce the notion of a -monotone mapping and obtain simple characterizations of generators...
Semilinear problems with a non-symmetric linear part having an infinite dimensional kernel.
Semilinear problems with nonlinearities depending only on derivatives
Sensitivity analysis for relaxed cocoercive nonlinear quasivariational inclusions.
Separable solutions of quasilinear Lane–Emden equations
For and either or , we prove the existence of solutions of in a cone , with vertex 0 and opening , vanishing on , of the form . The problem reduces to a quasilinear elliptic equation on and the existence proof is based upon degree theory and homotopy methods. We also obtain a nonexistence result in some critical case by making use of an integral type identity.
Sequence of iterates of generalized contractions
Sets in the ranges of nonlinear accretive operators in Banach spaces
Let X be a real Banach space and G ⊂ X open and bounded. Assume that one of the following conditions is satisfied: (i) X* is uniformly convex and T:Ḡ→ X is demicontinuous and accretive; (ii) T:Ḡ→ X is continuous and accretive; (iii) T:X ⊃ D(T)→ X is m-accretive and Ḡ ⊂ D(T). Assume, further, that M ⊂ X is pathwise connected and such that M ∩ TG ≠ ∅ and . Then . If, moreover, Case (i) or (ii) holds and T is of type , or Case (iii) holds and T is of type , then M ⊂ TG. Various results of Morales,...
Set-valued maps with fixed and coincidence points.