A hybrid-extragradient scheme for system of equilibrium problems, nonexpansive mappings, and monotone mappings.
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 method for a solution of equilibrium problem and fixed point problem of a nonexpansive semigroup in Hilbert's spaces.
A modified iterative process for common fixed points of two finite families of nonexpansive mappings.
A modulus for property (β) of Rolewicz
We define a modulus for the property (β) of Rolewicz and study some useful properties in fixed point theory for nonexpansive mappings. Moreover, we calculate this modulus in spaces for the main measures of noncompactness.
A new approximation method for common fixed points of a finite family of generalized asymptotically quasinonexpansive mappings in Banach spaces.
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings.
A new approximation scheme combining the viscosity method with extragradient method for mixed equilibrium problems.
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 general iterative method for a finite family of nonexpansive mappings in Hilbert spaces.
A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings.
A new iteration method for nonexpansive mappings and monotone mappings in Hilbert spaces.
A new iteration process for approximation of common fixed points for finite families of total asymptotically nonexpansive mappings.
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 iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities.
A new iterative method for solving equilibrium problems and fixed point problems for infinite family of nonexpansive mappings.
A new iterative scheme for countable families of weak relatively nonexpansive mappings and system of generalized mixed equilibrium problems.
A new one-step iterative process for common fixed points in Banach spaces.