703 citations · 796 across the 6 of their papers we have counts for
6 papers · 1 filter
A New Approach to Investigation of Evolution Differential Equations in Banach Spaces
Ya. I. Alber
Known investigations of nonlinear evolution equations $${dx\over dt} + A(t)x(t) = f(t)\ ,\quad x(t_{0}) = x^{0},\ \quad t_{0} \le t < \infty\ , \eqno(0.1)$$ with monotone operators…
The Penalty Method for Variational Inequalities with Nonsmooth Unbounded Operators in Banach Space
Ya. I. Alber
The existence of a solution, convergence and stability of the penalty method for variational inequalities with nonsmooth unbounded uniformly and properly monotone operators in Bana…
Global Version of Bjornestal's Estimate for Metric Projection Operator in Banach Space
Ya. Alber
In 1979, B.Bjornestal obtained local estimate for a modulus of uniform continuity of metric projection operator on closed subspace in uniformly convex and uniformly smooth Banach s…
On Some Estimates for Projection Operator in Banach Space
Ya. I. Alber, A. I. Notik
Previously unknown estimates of uniform continuity of projection operators in Banach space have been obtained. They can be used in the investigations of approximation methods, in p…
Generalized Projection Operators in Banach Spaces: Properties and Applications
Ya. I. Alber
This paper is an account (without proofs) of the results of our work "Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications", funct-an/9311001.…
Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
Ya. I. Alber
Metric projection operators can be defined in similar wayin Hilbert and Banach spaces. At the same time, they differ signifitiantly in their properties. Metric projection operator…