Non-compact random generalized games and random quasi-variational inequalities.
Non-convex perturbations of evolution equations with -dissipative operators in Banach spaces
Nonconvex sets and fixed points
Nonexpansive mappings and convex sequences
Nonexpansive mappings and iterative methods in uniformly convex Banach spaces.
Nonexpansive mappings defined on unbounded domains.
Non-expansive mappings in spaces of continuous functions.
Nonexpansive maps in generalized Orlicz spaces
Nonexpansive retractions in Hilbert spaces
Let H be a Hilbert space and C ⊂ H be closed and convex. The mapping P: H → C known as the nearest point projection is nonexpansive (1-lipschitzian). We observed that, the natural question: "Are there nonexpansive projections Q: H → C other than P?" is neglected in the literature. Also, the answer is not often present in the "folklore" of the Hilbert space theory. We provide here the answer and discuss some facts connected with the subject.
Nonexpansive retracts in Banach spaces
We study various aspects of nonexpansive retracts and retractions in certain Banach and metric spaces, with special emphasis on the compact nonexpansive envelope property.
Nonlinear contractive conditions: A comparison and related problems
We establish five theorems giving lists of nonlinear contractive conditions which turn out to be mutually equivalent. We derive them from some general lemmas concerning subsets of the plane which may be applied both in the single- or set-valued case as well as for a family of mappings. A separation theorem for concave functions is proved as an auxiliary result. Also, we discuss briefly the following problems for several classes of contractions: stability of procedure of successive approximations,...
Nonlinear diffusion equations with perturbation terms on unbounded domains
This paper considers the initial-boundary value problem for the nonlinear diffusion equation with the perturbation term in an unbounded domain with smooth bounded boundary, where , , , is a single-valued maximal monotone function on , e.g., and is a function on which can be regarded as a Lipschitz continuous operator from to . The present work establishes existence and estimates for the above problem.
Nonlinear diffusion with jumps
Non-linear eigenvalue problems and bifurcations for differentiable multivalued maps
Nonlinear Eigenvalue Problems with Monotonically Compact Operators. (Short Communication).
Nonlinear eigenvalue problems with monotonically compact operators.
Nonlinear equations in Hilbert space.
Nonlinear ergodic theorems for a semitopological semigroup of non-Lipschitzian mappings without convexity.
Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space.
Nonlinear essential maps of Mönch, 1-set contractive demicopmact and monotone type.