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 characteristic property of Mittag-Leffler functions and fractional cosine functions
A new characteristic property of the Mittag-Leffler function with 1 < α < 2 is deduced. Motivated by this property, a new notion, named α-order cosine function, is developed. It is proved that an α-order cosine function is associated with a solution operator of an α-order abstract Cauchy problem. Consequently, an α-order abstract Cauchy problem is well-posed if and only if its coefficient operator generates a unique α-order cosine function.
A new characterization of Anderson’s inequality in -classes
Let be a separable infinite dimensional complex Hilbert space, and let denote the algebra of all bounded linear operators on into itself. Let , be -tuples of operators in ; we define the elementary operators by In this paper, we characterize the class of pairs of operators satisfying Putnam-Fuglede’s property, i.e, the class of pairs of operators such that implies for all (trace class operators). The main result is the equivalence between this property and the fact that...
A new characterization of -bounded semigroups with application to implicit evolution equations.
A new characterization of generators of differentiable semigroups.
A new class of composition operators.
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 class of Ornstein transformations with singular spectrum
A new composite implicit iterative process for a finite family of nonexpansive mappings in Banach spaces.
A new convergence theorem for Steffensen's method on Banach spaces and applications.
A new general integral operator defined by Al-Oboudi differential operator.
A new general iterative method for a finite family of nonexpansive mappings in Hilbert spaces.
A new Hilbert-type linear operator with a composite kernel and its applications.
A new hybrid algorithm for a system of mixed equilibrium problems, fixed point problems for nonexpansive semigroup, and variational inclusion problem.
A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings.
A new hybrid iterative algorithm for fixed-point problems, variational inequality problems, and mixed equilibrium problems.
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.