Irregular convex sets with fixed-point property for nonexpansive mappings
Ishikawa iteration process with errors for nonexpansive mappings.
Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces.
Ishikawa iterative process for a pair of single-valued and multivalued nonexpansive mappings in Banach spaces.
Ishikawa iterative process with errors for generalized Lipschitzian and Phi-accretive mappings in uniformly smooth Banach spaces
Ishikawa iterative sequence for the generalized Lipschitzian and Phi-strongly accretive mappings in Banach spaces
Ishikawa iterative sequence with errors for strongly pseudocontractive operators in arbitrary Banach spaces.
Iterates of a class of discrete linear operators via contraction principle
In this paper we are concerned with a general class of positive linear operators of discrete type. Based on the results of the weakly Picard operators theory our aim is to study the convergence of the iterates of the defined operators and some approximation properties of our class as well. Some special cases in connection with binomial type operators are also revealed.
Iterates of maps which are non-expansive in Hilbert's projective metric
The cycle time of an operator on gives information about the long term behaviour of its iterates. We generalise this notion to operators on symmetric cones. We show that these cones, endowed with either Hilbert’s projective metric or Thompson’s metric, satisfy Busemann’s definition of a space of non- positive curvature. We then deduce that, on a strictly convex symmetric cone, the cycle time exists for all maps which are non-expansive in both these metrics. We also review an analogue for the Hilbert...
Iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings.
Iterations of asymptotically pseudocontractive mappings in Banach spaces.
Iterations of concave maps, the Perron-Frobenius theory, and applications to circle packings.
Iterative algorithm for a convex feasibility problem.
Iterative algorithm for a new system of nonlinear set-valued variational inclusions involving -monotone mappings.
Iterative algorithm for approximating solutions of maximal monotone operators in Hilbert spaces.
Iterative algorithms for finding common solutions to variational inclusion equilibrium and fixed point problems.
Iterative algorithms for nonexpansive mappings.
Iterative algorithms for variational inclusions, mixed equilibrium and fixed point problems with application to optimization problems
In this paper, we introduce an iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of a nonexpansive mapping, and the the set of solutions of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above three sets, which is a solution of a certain optimization problem related to a strongly positive bounded linear operator....
Iterative algorithms with variable coefficients for asymptotically strict pseudocontractions.
Iterative algorithms with variable coefficients for multivalued generalized -hemicontractive mappings without generalized Lipschitz assumption.