The Prox map
From MaRDI portal
Publication:1823424
DOI10.1016/0022-247X(91)90407-QzbMath0681.46016OpenAlexW2062823508MaRDI QIDQ1823424
Publication date: 1991
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(91)90407-q
Mosco convergencefixed point theoremsbest approximationHausdorff distanceproximal pointsgap functionalconvex-valued multifunctionsMosco topologyProx map
Related Items
On well-posed mutually nearest and mutually furthest point problems in Banach spaces ⋮ Almost Chebyshev set with respect to bounded subsets ⋮ On stability of approximate solutions of minimization problems ⋮ The slice topology: a viable alternative to mosco convergence in nonreflexive spaces ⋮ Topologies related to the prox map and the restricted center map ⋮ On mutually nearest and mutually farthest points in reflexive Banach spaces ⋮ Best proximity points for proximal contractive type mappings with \(C\)-class functions in \(S\)-metric spaces ⋮ On mutually nearest and mutually furthest points of sets in Banach spaces ⋮ On the convergence of subdifferentials of convex functions ⋮ Best Proximity Points ⋮ Well-Posedness, Regularization, and Viscosity Solutions of Minimization Problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence of best approximations in a smooth Banach space
- On convergence of convex sets and relative Chebyshev centers
- Continuous dependence on data in abstract control problems
- Fixed point theorems for set-valued mappings
- On fixed point theorems obtained from existence theorems for differential equations
- A characterization of smooth normed linear spaces
- Convex analysis and measurable multifunctions
- Approximate selections, best approximations, fixed points, and invariant sets
- Extensions of two fixed point theorems of F. E. Browder
- Convergence of convex sets and of solutions of variational inequalities
- Fixed points in locally convex spaces
- On the continuity of the Young-Fenchel transform
- On the Young-Fenchel Transform for Convex Functions
- Support and distance functionals for convex sets
- Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections
- On Mosco convergence of convex sets
- A Generalization to Multifunctions of Fan's Best Approximation Theorem
- APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
- Theorems of Namioka and R. E. Johnson Type for Upper Semicontinuous and Compact Valued Set-Valued Mappings
- A Fixed-Point Theorem for Inward and Outward Maps
- Fixed points of compact multifunctions
