Strong convergence of iterative schemes for zeros of accretive operators in reflexive Banach spaces.
A new iteration method for nonexpansive mappings and monotone mappings in Hilbert spaces.
A general iterative approach to variational inequality problems and optimization problems.
Convergence on composite iterative schemes for nonexpansive mappings in Banach spaces.
Strong convergence of viscosity iteration methods for nonexpansive mappings.
Fixed-point iteration processes for non-Lipschitzian mappings of asymptotically quasi-nonexpansive type.
Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces.
Weak and strong convergence of multistep iteration for finite family of asymptotically nonexpansive mappings.
Fixed point theorems for generalized Lipschitzian semigroups.
Approximation of fixed points of asymptotically pseudocontractive mappings in Banach spaces.
Asymptotic behavior of solutions of nonlinear functional differential equations.
Asymptotic behavior of almost-orbits of reversible semigroups of non-Lipschitzian mappings in Banach spaces.
Fixed points of a certain class of mappings in spaces with uniformly normal structure.
Iterative schemes with some control conditions for a family of finite nonexpansive mappings in Banach spaces.
Common fixed point theorems and applications.
Dual convergences of iteration processes for nonexpansive mappings in Banach spaces
In this paper we establish a dual weak convergence theorem for the Ishikawa iteration process for nonexpansive mappings in a reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, and then apply this result to study the problem of the weak convergence of the iteration process.
Random fixed points for a certain class of asymptotically regular mappings
Let (Ω, σ) be a measurable space and K a nonempty bounded closed convex separable subset of a p-uniformly convex Banach space E for p > 1. We prove a random fixed point theorem for a class of mappings T:Ω×K ∪ K satisfying the condition: For each x, y ∈ K, ω ∈ Ω and integer n ≥ 1, ⃦Tⁿ(ω,x) - Tⁿ(ω,y) ⃦ ≤ aₙ(ω)· ⃦x - y ⃦ + bₙ(ω) ⃦x -Tⁿ(ω,x) ⃦ + ⃦y - Tⁿ(ω,y) ⃦ + cₙ(ω) ⃦x - Tⁿ(ω,y) ⃦ + ⃦y - Tⁿ(ω,x) ⃦, where aₙ, bₙ, cₙ: Ω → [0, ∞) are functions satisfying certain conditions and Tⁿ(ω,x) is the value...
Coincidence point theorems in certain topological spaces
In this paper, we establish some new versions of coincidence point theorems for single-valued and multi-valued mappings in F-type topological space. As applications, we utilize our main theorems to prove coincidence point theorems and fixed point theorems for single-valued and multi-valued mappings in fuzzy metric spaces and probabilistic metric spaces.
Random fixed point theorems for a certain class of mappings in Banach spaces
Let be a measurable space and a nonempty bounded closed convex separable subset of -uniformly convex Banach space for some . We prove random fixed point theorems for a class of mappings satisfying: for each , and integer , where are functions satisfying certain conditions and is the value at of the -th iterate of the mapping . Further we establish for these mappings some random fixed point theorems in a Hilbert space, in spaces, in Hardy spaces and in Sobolev spaces ...
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