Convexity of \(\delta\)-suns and \(\gamma\)-suns in asymmetric spaces

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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Coproximinality of linear subspaces in generalized Minkowski spaces
Uniform convexity in nonsymmetric spaces
Ball-complete sets and solar properties of sets in asymmetric spaces
Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces
Some classical problems of geometric approximation theory in asymmetric spaces
Sublineare Funktionale
\(\mathring{B}\)-complete sets: approximative and structural properties
Connectedness and solarity in problems of best and near-best approximation
Locally convex cones and the Schröder-Simpson theorem
Functional Analysis in Asymmetric Normed Spaces
Continuous selections in asymmetric spaces
Continuous selections for metric projection operators and for their generalizations
Separation of Convex Sets and Best Approximation in Spaces with Asymmetric Norm
Geometric Approximation Theory
Approximative properties of sets and continuous selections
Weakly monotone sets and continuous selection in asymmetric spaces
Sublinear functionals and conical measures
Continuous selections of set-valued mappings and approximation in asymmetric and semilinear spaces
Connectedness in asymmetric spaces
Universality theorems for asymmetric spaces
Uniformly and locally convex asymmetric spaces
Kuhn-Tucker type theorems in cone and linear normed spaces
Chebyshev unions of planes, and their approximative and geometric properties
\( \theta \)-metric function in the problem of minimization of functionals
Chebyshev sets that are unions of planes

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