Optimization Theory in Linear Spaces. Part III. Mathematical Programming in Partially Ordered Banach Spaces.

K. RITTER

Displaying similar documents to “Optimization Theory in Linear Spaces. Part III. Mathematical Programming in Partially Ordered Banach Spaces.”

Compact Subsets of Partially Ordered Banach Spaces.

A.W. Wickstead (1974)

Mathematische Annalen

Similarity:

Optimization Theory in Linear Spaces. Part II. On Systems of Linear Operator Inequalities in Partially Ordered Normed Linear Spaces.

K. RITTER (1969)

Mathematische Annalen

Similarity:

On a Proof that every Aggregate can be well-ordered.

Ph.E.B. Jourdain (1905)

Mathematische Annalen

Similarity:

Optimization Theory in Linear Spaces. I.

K. RITTER (1969)

Mathematische Annalen

Similarity:

On Topologies In Ordered Vector Spaces.

A.L. PERESSINI (1961)

Mathematische Annalen

Similarity:

Optimization of Functions on Certain Subsets of Banach Spaces.

Charles Stegall (1978)

Mathematische Annalen

Similarity:

Partially Ordered Groups of Continuous Functions.

J. CANTWELL (1963)

Mathematische Annalen

Similarity:

Unconditional Convergence in Partially Ordered Linear Spaces.

G.J.O. Jameson (1973)

Mathematische Annalen

Similarity:

On Representation of Partially Ordered Sets.

A. ABIAN, D. DEEVER (1967)

Mathematische Annalen

Similarity:

Ordered Vector Sequence Spaces and Related Classes of Linear Operators.

Bertram Walsh (1973)

Mathematische Annalen

Similarity:

Applications of nonnegative operators to a class of optimization problems

K. C. Sivakumar (2008)

Banach Center Publications

Similarity:

Let X be a partially ordered real Banach space, a,b ∈ X with a ≤ b. Let ϕ be a bounded linear functional on X. We call X a Ben-Israel-Charnes space (or a B-C space) if the linear program defined by Maximize ϕ(x) subject to a ≤ x ≤ b has an optimal solution for any ϕ, a and b. Such problems arise naturally in solving a class of problems known as Interval Linear Programs. B-C spaces were introduced in the author's doctoral thesis and were subsequently studied in [8] and [9]. In this article,...