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
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 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 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.
Nonlinear Hammerstein equations and fixed points.
Nonlinear Mappings of Analytic Type in Banach Spaces.
Nonlinear mean ergodic theorems for semigroups in Hilbert spaces.
Nonlinear perturbations of quasi-linear delay control systems
Nonlinear Spectral Theories and Solvability of Nonlinear Hammerstein Equations
AMS Subj. Classification: 47J10, 47H30, 47H10We study some possibilities of nonlinear spectral theories for solving nonlinear operator equations. The main aim is to research a spectrum and establish some kind of nonlinear Fredholm alternative for Hammerstein operator KF.
Nonlinear stability of a quadratic functional equation with complex involution
Let be complex vector spaces. Recently, Park and Th.M. Rassias showed that if a mapping satisfies for all , , then the mapping satisfies for all , . Furthermore, they proved the generalized Hyers-Ulam stability of the functional equation () in complex Banach spaces. In this paper, we will adopt the idea of Park and Th. M. Rassias to prove the stability of a quadratic functional equation with complex involution via fixed point method.
Nonlinear Volterra integral equations in Henstock integrability setting.