A Krasnoselskiĭ cone compression result for multimaps in the S-KKM class.
A la recherche du spectre perdu: An invitation to nonlinear spectral theory
We give a survey on spectra for various classes of nonlinear operators, with a particular emphasis on a comparison of their advantages and drawbacks. Here the most useful spectra are the asymptotic spectrum by M. Furi, M. Martelli and A. Vignoli (1978), the global spectrum by W. Feng (1997), and the local spectrum (called “phantom”) by P. Santucci and M. Väth (2000). In the last part we discuss these spectra for homogeneous operators (of any degree), and derive a discreteness result and a nonlinear...
A Leray--Schauder alternative for weakly-strongly sequentially continuous weakly compact maps.
A minimax inequality with applications to existence of equilibrium point and fixed point theorems
Ky Fan’s minimax inequality [8, Theorem 1] has become a versatile tool in nonlinear and convex analysis. In this paper, we shall first obtain a minimax inequality which generalizes those generalizations of Ky Fan’s minimax inequality due to Allen [1], Yen [18], Tan [16], Bae Kim Tan [3] and Fan himself [9]. Several equivalent forms are then formulated and one of them, the maximal element version, is used to obtain a fixed point theorem which in turn is applied to obtain an existence theorem of an...
A minimization theorem in quasi-metric spaces and its applications.
A modification of Newton's method
A multiplicity fixed point theorem in Fréchet spaces.
A multiplicity result for a system of real integral equations by use of the Nielsen number
We prove an existence and multiplicity result for solutions of a nonlinear Urysohn type equation (2.14) by use of the Nielsen and degree theory in an annulus in the function space.
A multivalued fixed point theorem in non-archimedean vector spaces.
A new class of nonexpansive type mappings and fixed points
In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.
A new composite implicit iterative process for a finite family of nonexpansive mappings in Banach spaces.
A new iterative algorithm for approximating common fixed points for asymptotically nonexpansive mappings.
A new iterative algorithm for the set of fixed-point problems of nonexpansive mappings and the set of equilibrium problem and variational inequality problem.
A new one-step iterative process for common fixed points in Banach spaces.
A nonlinear boundary value problem for a system of hyperbolic partial differential equations.
A nonstandard fixed point result in ...
A note fixed point theorems of Diaz and Metcalf
A note on a mean ergodic theorem
A note on close-to-normal structure
A note on complementarity problem.