Continuousization of the family of point-to-set maps and its applications
From MaRDI portal
Publication:2640455
DOI10.1016/0022-247X(90)90223-3zbMath0719.90078OpenAlexW1982795404MaRDI QIDQ2640455
Guangjun Chen, Chang-Yu Wang, Hui Shan Zhou
Publication date: 1990
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(90)90223-3
Nonlinear programming (90C30) Set-valued maps in general topology (54C60) Set-valued and function-space-valued mappings on manifolds (58C06)
Related Items (49)
Scalarization and optimality conditions for the approximate solutions to vector variational inequalities in Banach spaces ⋮ Connectedness structure of the solution sets of vector variational inequalities ⋮ Upper semicontinuity of the solution maps in homogeneous vector quasi-equilibrium problems ⋮ An introduction to vector variational inequalities and some new results ⋮ Vector equilibrium problems with generalized monotone bifunctions ⋮ Stampacchia generalized vector quasiequilibrium problems and vector saddle points ⋮ Existence of solutions of generalized vector variational inequalities in reflexive Banach spaces ⋮ Generalized multivalued vector variational-like inequalities ⋮ Feasibility and solvability for vector complementarity problems ⋮ Simultaneous vector variational inequalities and vector implicit complementarity problem ⋮ From scalar to vector equilibrium problems in the quasimonotone case ⋮ Strong vector equilibrium problems ⋮ Survey on vector complementarity problems ⋮ Existence theorems for vector variational inequalities ⋮ Pre-vector variational inequalities ⋮ Monotone affine vector variational inequalities ⋮ Lower semicontinuity for parametric weak vector variational inequalities in reflexive Banach spaces ⋮ Disconnectedness and unboundedness of the solution sets of monotone vector variational inequalities ⋮ Vector variational-like inequalities with constraints: separation and alternative ⋮ Increasing-along-rays property, vector optimization and well-posedness ⋮ Minty's lemma and vector variational-like inequalities ⋮ Vector optimization problems with nonconvex preferences ⋮ New type of generalized vector quasiequilibrium problem ⋮ Generalized vector implicit quasi complementarity problems ⋮ Existence theorems for generalized vector variational inequalities with a variable ordering relation ⋮ Vectorial exceptional families of elements ⋮ Existence of a solution for generalized vector variational inequalities ⋮ A generalization of Minty's lemma and its applications to generalized mixed vector equilibrium problems ⋮ Some remarks on the Minty vector variational inequality ⋮ A result on vector variational inequalities with polyhedral constraint sets ⋮ Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping ⋮ Semicontinuous mappings into T.V.S. with applications to mixed vector variational-like inequalities ⋮ On vector variational inequalities in reflexive Banach spaces ⋮ Global stability results for the weak vector variational inequality ⋮ Generalized vector variational and quasi-variational inequalities with operator solutions ⋮ Vector variational inequalities with semi-monotone operators ⋮ On generalized implicit vector variational inequality problems ⋮ On vector variational inequalities ⋮ On the nonemptiness and compactness of the solution sets for vector variational inequalities ⋮ On vector variational inequalities ⋮ Equivalence of generalized mixed complementarity and generalized mixed least element problems in ordered spaces ⋮ Vector variational inequalities with cone-pseudomonotone bifunctions ⋮ Vector optimization and variational-like inequalities ⋮ Well-posedness for generalized \((\eta ,g,\varphi )\)-mixed vector variational-type inequality and optimization problems ⋮ Existence of solutions for a generalized vector quasivariational inequality ⋮ A property of bicriteria affine vector variational inequalities ⋮ Existence of solutions for a vector variational inequality: An extension of the Hartmann-Stampacchia theorem ⋮ Vector complementarity and minimal element problems ⋮ Generalized convex functions and vector variational inequalities
Cites Work
- Extensions of the continuity of point-to-set maps: Applications to fixed point algorithms
- Optimization algorithms and point-to-set-maps
- Existence Theorems for Optimal Solutions in Pontryagin and Lagrange Problems
- Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I
- Convergence Conditions for Nonlinear Programming Algorithms
- Iterative Solution of Nonlinear Optimal Control Problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Continuousization of the family of point-to-set maps and its applications