A Nonlinear Complementarity Problem in Mathematical Programming in Banach Space
نویسندگان
چکیده
منابع مشابه
A Nonlinear Complementarity Problem in Mathematical Programming in Banach Space
An existence and uniqueness theorem for the nonlinear complementarity problem over closed convex cones in a reflexive real Banach space is established, using perturbations of solutions of variational inequalities and monotonicity methods.
متن کاملA Remark on a Complementarity Problem in Banach Space
We give a modified proof of the theorem given in an earlier paper of the author (1994).
متن کاملNonlinear programming advances in mathematical programming with complementarity constraints
Given a suitably parameterised family of equilibrium models and a higher level criterion by which to measure an equilibrium state, mathematical programs with equilibrium constraints (MPECs) provide a framework for selecting good or even optimal parameters. An example is toll design in traffic networks, which attempts to reduce total travel time by choosing which arcs to toll and what toll level...
متن کاملNonexpansive Nonlinear Operators in a Banach Space.
I Berger, M., "Sur quelques varigtes riemanniennes compactes d'Einstein," Compt. Rend., 260, 1554-1557 (1965). 2 Bishop, R. L., and R. J. Crittenden, Geometry of Manifolds (New York: Academic Press, 1964). 3Bishop, R. L., and S. I. Goldberg, "On the topology of positively curved Kaehler manifolds," T6hoku Math. J., 15, 359-364 (1963). 4 Bishop, R. L., and S. I. Goldberg, "On the second cohomolo...
متن کاملMathematical Programs with Complementarity Constraints in Banach Spaces
We consider optimization problems in Banach spaces involving a complementarity constraint defined by a convex cone K. By transferring the local decomposition approach, we define strong stationarity conditions and provide a constraint qualification under which these conditions are necessary for optimality. To apply this technique, we provide a new uniqueness result for Lagrange multipliers in Ba...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1972
ISSN: 0002-9939
DOI: 10.2307/2038461