An iterative algorithm combining viscosity method with parallel method for a generalized equilibrium problem and strict pseudocontractions.
An iterative algorithm for two asymptotically pseudocontractive mappings.
An iterative algorithm of solution for quadratic minimization problem in Hilbert spaces.
An iterative approximation method for a countable family of nonexpansive mappings in Hilbert spaces.
An iterative method for an infinite family of nonexpansive mappings in Hilbert spaces.
An iterative method for generalized equilibrium problems, fixed point problems and variational inequality problems.
An iterative method for variational inequality problems and fixed point problems in Hilbert spaces
An iterative scheme with a countable family of nonexpansive mappings for variational inequality problems in Hilbert spaces.
An order on subsets of cone metric spaces and fixed points of set-valued contractions.
Another fixed point theorem for nonexpansive potential operators
We prove the following result: Let X be a real Hilbert space and let J: X → ℝ be a C¹ functional with a nonexpansive derivative. Then, for each r > 0, the following alternative holds: either J’ has a fixed point with norm less than r, or .
Appendix to the paper: “An existence theorem for the Urysohn integral equation in Banach spaces”
Applications of fixed point theorems in the theory of generalized IFS.
Approximate fixed points for nonexpansive and quasi-nonexpansive mappings in hyperspaces.
Approximating common fixed points of asymptotically nonexpansive mappings by composite algorithm in Banach spaces
Let E be a uniformly convex Banach space and K a nonempty convex closed subset which is also a nonexpansive retract of E. Let T 1, T 2 and T 3: K → E be asymptotically nonexpansive mappings with k n, l n and j n. [1, ∞) such that Σn=1∞(k n − 1) < ∞, Σn=1∞(l n − 1) < ∞ and Σn=1∞(j n − 1) < ∞, respectively and F nonempty, where F = x ∈ K: T 1x = T 2x = T 3 x = xdenotes the common fixed points set of T 1, T 2 and T 3. Let α n, α′ n and α″ n be real sequences in (0, 1) and ∈ ≤ α n, α′ n, α″...
Approximating common fixed points of families of quasi-nonexpansive mappings.
Approximating fixed points of nonexpansive and generalized nonexpansive mappings.
Approximating fixed points of nonexpansive nonself mappings in CAT(0) spaces.
Approximating fixed points of nonexpansive type mappings.
Approximating fixed points of non-Lipschitzian mappings by metric projections.
Approximating fixed points of non-self asymptotically nonexpansive mappings in Banach spaces.