closed convex subset
The split equilibrium problem and its convergence algorithms
... Theorem . Strong convergence theorem Let C be a nonempty closed convex subset of H and K a nonempty closed convex subset of H , where H and H are two real Hilbert spaces... He Jour[r] ...
15
Asymptotic behavior of almost orbits of reversible semigroups of non Lipschitzian mappings in Banach spaces
... Let C be a nonempty closed convex subset of a uniformly convex Banach space E Let G be a right reversible semitopological semigroup and let S {St t G} be a semigroup of and let {ut’t G} [r] ...
10
Fixed point theorems in convex metric spaces
... A convex metric space is a generalized ...a convex metric space and convex complete metric space, ...in convex metric ...nonempty closed convex subset of a convex ...
6
Convergence theorems of the sequence of iterates for a finite family asymptotically nonexpansive mappings
... Abstract. Let E be a uniformly convex Banach space, C a nonempty closed convex subset of E. In this paper, we introduce an iteration scheme with errors in the sense of Xu (1998) generated by { ...
10
Strong Convergence Theorems of Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach Spaces
... Let E be a real Banach space and C a nonempty closed convex subset of E. A mapping f : C → C is called k-contraction if there exists a constant 0 < k < 1 such that fx − fy ≤ kx − y for all x, y ...
21
Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices
... a closed convex subset of a Hilbert ...bounded closed convex subset in a Banach space when · is replaced by Minkowski’s ...
10
A simple algorithm for computing projection onto intersection of finite level sets
... the convex optimization problem, the variational inequality [], the split feasibility problem [–], and many other applied ...general closed convex subset has no explicit expression (unless ...
10
Iterative methods for hierarchical common fixed point problems and variationalinequalities
... The purpose of this paper is to deal with the problem of finding hierarchically a common fixed point of a sequence of nearly nonexpansive self-mappings defined on a closed convex subset of a real ...
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An Extended S-Iteration Scheme for G-Contractive Type Mappings in b-Metric Spaces with Graph
... a convex b-metric space (X, d) with graph and define an extended S-iteration scheme for a triplet of three G-contractive type self mappings on a nonempty closed convex subset K of ...
17
Coupled fixed point theorems for asymptotically nonexpansive mappings
... uniformly convex Banach space, C be a nonempty bounded closed convex subset of ...continuous convex function f : [, +∞) → [, +∞) with f () = such that for any Lipschitzian mapping ...
15
Coupled fixed point results on quasi-Banach spaces with application to a system of integral equations
... for any x, y, z ∈ X. In this paper, we adopt a different and constructive method to prove some coupled fixed and coincidence point results for contractive mappings defined on an ordered closed convex ...
18
Support functionals and their relation to the Radon Nikodym property
... 1. Introduction. Let X be a complex Banach space and let C be a closed convex subset of X. The set of support points of C, written as supp C, is the collection of all points z ∈ C for which there ...
6
A damped algorithm for the split feasibility and fixed point problems
... If every closed convex subset of a Hilbert space is the fixed point set of its associating projection, then the split feasibility problem becomes a special case of the split common fixed p[r] ...
9
Fixed Point Theory on a Frechet Topological Vector Space
... a closed convex set M in Hausdorff locally convex topological vector space E into M such that AM is contained in a compact set, has a ...bounded closed convex subset of E, and A, ...
10
An approximation method for continuous pseudocontractive mappings
... nonempty closed convex subset of E and T : K → K is a continuous pseudocontractive ...nonempty closed bounded convex subset of K has the fixed point property for nonexpansive ...
9
Continuity properties of projection operators
... nonempty closed convex subset of a uniformly convex Banach space is continuous (see, ...nonempty closed convex subset C is continuous with respect to C for the topology ...
13
Nonexpansive mappings defined on unbounded domains
... a closed convex subset of a Banach space X, let F be a finite com- muting family of nonexpansive self-mappings of C, and suppose ( f n (p)) is bounded for some p ∈ C and all f ∈ F ...bounded ...
13
The structure of fixed-point sets of Lipschitzian type semigroups
... compact convex subset of X and F = {T(t) : t ∈ G} a strongly continuous semigroup of demicontinuous nearly uniformly L-Lipschitzian of mappings from C into it- ...nonempty closed convex ...
21
Mutually Nearest Points for Two Sets in Metric Spaces
... weakly closed subset of a reflexive space X is weakly sequentially ...any closed convex subset is proximinal with respect to the total space (it follows from above ...a closed ...
6
An implicit method for finding a common fixed point of a representation of nonexpansive mappings in Banach spaces
... compact subset C of a reflexive Banach space E is weakly compact, and from Proposition ...any closed convex subset of a weakly compact subset C of a Banach space E is itself weakly ...
7