On a Conjecture of Samuel.
The Picard group and subintegrality in positive characteristic
Effect of a Permissible Blowing-up on the Local Hilbert Functions.
A numerical criterion for the permissibility of a blowing-up
Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces.
Subintegrality, invertible modules and the Picard group
Weak and strong convergence of multistep iteration for finite family of asymptotically nonexpansive mappings.
Fixed point theorems for generalized Lipschitzian semigroups.
Strong convergence theorem for semigroup of asymptotically nonexpansive mappings using viscosity approximation
Fixed points of a certain class of mappings in spaces with uniformly normal structure.
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...
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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