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Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space

https://doi.org/10.1007/bf00935364
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf00934330openalex-snapshot
Weak Pareto optimality of multiobjective problems in a locally convex linear topological space
inferredcites →https://doi.org/10.1007/bf00935888openalex-snapshot
Weak Pareto optimality of multiobjective problems in a locally convex linear topological space
inferredcites →https://doi.org/10.1016/0022-247x(74)90025-0openalex-snapshot
On the variational principle
inferredcites →https://doi.org/10.1142/9789812567130_0038openalex-snapshot
MATHEMATICS AND APPLICATIONS
inferredcites →https://doi.org/10.1287/moor.1.2.165openalex-snapshot
A New Approach to Lagrange Multipliers
inferredcites →https://doi.org/10.4064/sm-72-2-151-159openalex-snapshot
The variational principle
inferredcites →https://doi.org/10.5109/13145openalex-snapshot
WEAK PARETO OPTIMALITY OF MULTIOBJECTIVE PROBLEM IN A BANACH SPACE

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inferred← citeshttps://doi.org/10.1006/jmaa.1999.6288openalex-snapshot
Optimality Conditions for Vector Mathematical Programming via a Theorem of the Alternative
inferred← citeshttps://doi.org/10.1007/0-306-48107-3_1openalex-snapshot
Theory of Vector Optimization
inferred← citeshttps://doi.org/10.1007/0-387-23639-2_13openalex-snapshot
Second Order Optimality Conditions for Nonsmooth Multiobjective Optimization Problems
inferred← citeshttps://doi.org/10.1007/978-0-387-77247-9_19openalex-snapshot
Multiobjective Optimization: A Brief Overview
inferred← citeshttps://doi.org/10.1007/978-3-319-67220-5_5openalex-snapshot
An Evolutionary Optimization Method Based on Scalarization for Multi-objective Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-57311-8_9openalex-snapshot
Tangent and Normal Cones in Nonconvex Multiobjective Optimization
inferred← citeshttps://doi.org/10.1007/bf00939770openalex-snapshot
On necessary optimality conditions in vector optimization problems
inferred← citeshttps://doi.org/10.1007/bf00939823openalex-snapshot
A survey of vector optimization in infinite-dimensional spaces, part 2
inferred← citeshttps://doi.org/10.1007/bf00939951openalex-snapshot
Optimality conditions for directionally differentiable multi-objective programming problems
inferred← citeshttps://doi.org/10.1007/bf00940466openalex-snapshot
?-duality theorem of nondifferentiable nonconvex multiobjective programming
inferred← citeshttps://doi.org/10.1007/bf01415909openalex-snapshot
On necessary and sufficient optimality conditions for multicriterial optimization problems
inferred← citeshttps://doi.org/10.1007/bf01442204openalex-snapshot
On the regularity condition for the extremal problem under locally Lipschitz inclusion constraints
inferred← citeshttps://doi.org/10.1007/bf01581135openalex-snapshot
Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems
inferred← citeshttps://doi.org/10.1007/bf02192200openalex-snapshot
Directionally differentiable multiobjective optimization involving discrete inclusions
inferred← citeshttps://doi.org/10.1007/s00186-006-0079-zopenalex-snapshot
Lagrangian conditions for vector optimization in Banach spaces
inferred← citeshttps://doi.org/10.1007/s10107-004-0569-9openalex-snapshot
The Fermat rule for multifunctions on Banach spaces
inferred← citeshttps://doi.org/10.1007/s10479-019-03349-1openalex-snapshot
Optimality and duality in nonsmooth composite vector optimization and applications
inferred← citeshttps://doi.org/10.1007/s10479-022-04719-yopenalex-snapshot
Pareto solutions as limits of collective traps: an inexact multiobjective proximal point algorithm
inferred← citeshttps://doi.org/10.1007/s10589-008-9190-9openalex-snapshot
Multi-objective Pareto-optimal control: an application to wastewater management
inferred← citeshttps://doi.org/10.1007/s10589-019-00139-0openalex-snapshot
A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems
inferred← citeshttps://doi.org/10.1007/s10898-010-9580-2openalex-snapshot
Second-order conditions for nonsmooth multiobjective optimization problems with inclusion constraints
inferred← citeshttps://doi.org/10.1007/s10898-024-01453-6openalex-snapshot
A refined proximal algorithm for nonconvex multiobjective optimization in Hilbert spaces
inferred← citeshttps://doi.org/10.1007/s10957-007-9345-3openalex-snapshot
Higher-Order Optimality Conditions for Set-Valued Optimization
inferred← citeshttps://doi.org/10.1007/s10957-009-9639-8openalex-snapshot
On the Robustness of Global Optima and Stationary Solutions to Stochastic Mathematical Programs with Equilibrium Constraints, Part 1: Theory
inferred← citeshttps://doi.org/10.1007/s10957-016-0987-xopenalex-snapshot
Optimality Conditions in Quasidifferentiable Vector Optimization
inferred← citeshttps://doi.org/10.1007/s10957-018-1330-5openalex-snapshot
Proximal Point Method for Locally Lipschitz Functions in Multiobjective Optimization of Hadamard Manifolds
inferred← citeshttps://doi.org/10.1007/s11228-008-0078-8openalex-snapshot
Lagrange Multipliers for Multiobjective Programs with a General Preference
inferred← citeshttps://doi.org/10.1007/s11831-023-09966-1openalex-snapshot
A Systematic Review on Fuzzy-Based Multi-objective Linear programming Methodologies: Concepts, Challenges and Applications
inferred← citeshttps://doi.org/10.1007/s40840-016-0340-4openalex-snapshot
Vector Exponential Penalty Function Method for Nondifferentiable Multiobjective Programming Problems
inferred← citeshttps://doi.org/10.1016/j.amc.2012.02.056openalex-snapshot
The vector exact l1 penalty method for nondifferentiable convex multiobjective programming problems
inferred← citeshttps://doi.org/10.1016/j.camwa.2003.05.013openalex-snapshot
Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces
inferred← citeshttps://doi.org/10.1016/j.camwa.2007.05.002openalex-snapshot
Some vector optimization problems in Banach spaces with generalized convexity
inferred← citeshttps://doi.org/10.1016/j.na.2006.06.038openalex-snapshot
Multiple-objective programs in Banach spaces: Sufficiency for (proper) optimality
inferred← citeshttps://doi.org/10.1016/j.na.2007.06.008openalex-snapshot
The gap function for optimization problems in Banach spaces
inferred← citeshttps://doi.org/10.1016/j.na.2008.01.023openalex-snapshot
The Fermat rule for multifunctions for super efficiency
inferred← citeshttps://doi.org/10.1016/j.na.2010.07.041openalex-snapshot
Scalarization and optimality conditions for vector equilibrium problems
inferred← citeshttps://doi.org/10.1016/j.na.2011.12.009openalex-snapshot
Proper efficiency conditions and duality results for nonsmooth vector optimization in Banach spaces under -invexity
inferred← citeshttps://doi.org/10.1016/s0022-247x(02)00064-1openalex-snapshot
A finite dimensional extension of Lyusternik theorem with applications to multiobjective optimization
inferred← citeshttps://doi.org/10.1016/s0022-247x(03)00106-9openalex-snapshot
The generalized optimality conditions of multiobjective programming problem in topological vector space
inferred← citeshttps://doi.org/10.1016/s0076-5392(09)60314-3openalex-snapshot
References
inferred← citeshttps://doi.org/10.1017/s0004972700013678openalex-snapshot
Optimality conditions for multiobjecttve and nonsmooth minimisation in abstract spaces
inferred← citeshttps://doi.org/10.1023/a:1017519922669openalex-snapshot
Optimality Conditions for C1,1 Vector Optimization Problems
inferred← citeshttps://doi.org/10.1023/a:1017596530143openalex-snapshot
On Duality Theorems for Nonsmooth Lipschitz Optimization Problems
inferred← citeshttps://doi.org/10.1023/a:1021769232224openalex-snapshot
Optimally Conditions for Pareto Nonsmooth Nonconvex Programming in Banach Spaces
inferred← citeshttps://doi.org/10.1023/b:jogo.0000047911.03061.88openalex-snapshot
Duality in Vector Optimization in Banach Spaces with Generalized Convexity
inferred← citeshttps://doi.org/10.1051/ro:2000122openalex-snapshot
Second order optimality conditions for differentiable multiobjective problems
inferred← citeshttps://doi.org/10.1080/01630560802418409openalex-snapshot
Duality in Vector Optimization Under Type 1 α-Invexity in Banach Spaces
inferred← citeshttps://doi.org/10.1080/01630563.2016.1233118openalex-snapshot
The Exactness Property of the Vector Exact l1 Penalty Function Method in Nondifferentiable Invex Multiobjective Programming
inferred← citeshttps://doi.org/10.1080/01630569408816587openalex-snapshot
On lagrange-kuhn-tucker multipliers for pareto optimization problems
inferred← citeshttps://doi.org/10.1080/02331930108844561openalex-snapshot
Necessary optimality conditions in nondifferentiable vector optimization
inferred← citeshttps://doi.org/10.1080/02331930290019440openalex-snapshot
OPTIMALITY CONDITIONS AND APPROXIMATE OPTIMALITY CONDITIONS IN LOCALLY LIPSCHITZ VECTOR OPTIMIZATION
inferred← citeshttps://doi.org/10.1080/02331930701455945openalex-snapshot
Necessary and sufficient optimality conditions for fractional multi-objective problems
inferred← citeshttps://doi.org/10.1080/02331930701763645openalex-snapshot
Necessary and sufficient conditions for weak efficiency in non-smooth vectorial optimization problems
inferred← citeshttps://doi.org/10.1080/02331930903480352openalex-snapshot
Infinite horizon multiobjective optimal control problems in the discrete time case
inferred← citeshttps://doi.org/10.1080/02331934.2019.1625354openalex-snapshot
Parallel proximal point methods for systems of vector optimization problems on Hadamard manifolds without convexity
inferred← citeshttps://doi.org/10.1080/02331934.2020.1755862openalex-snapshot
The proximal point method with a vectorial Bregman regularization in multiobjective DC programming
inferred← citeshttps://doi.org/10.1080/02331934.2026.2684716openalex-snapshot
A novel proximal gradient method for multiobjective optimization with applications
inferred← citeshttps://doi.org/10.1080/02331939208843857openalex-snapshot
Lagrange multiplers for pareto nonsmooth programming problems in banach spaces
inferred← citeshttps://doi.org/10.1080/02331939608844234openalex-snapshot
Multiplier rules for weak pareto optimization problems
inferred← citeshttps://doi.org/10.1080/02331939708844332openalex-snapshot
On Lagrance-Kuhn-Tucker Mulitipliers for Muliobjective Optimization Problems
inferred← citeshttps://doi.org/10.1080/02331939808844416openalex-snapshot
Necessary conditions for extremality and separation theorems with applications to multiobjective optimization
inferred← citeshttps://doi.org/10.1080/02522667.1989.10698953openalex-snapshot
Directional Derivative Calculus and Optimality Conditions in Nonsmooth Mathematical Programming
inferred← citeshttps://doi.org/10.1080/09720502.2007.10700525openalex-snapshot
On nonsmooth multiobjective programming with generalized univexity
inferred← citeshttps://doi.org/10.1109/ccdc.2009.5191826openalex-snapshot
Optimality conditions and saddle-point theory for nonsmooth generalized convexity multiobjective programming
inferred← citeshttps://doi.org/10.1109/cso.2009.392openalex-snapshot
Vector Optimization Involving Preinvex Functions in Banach Spaces
inferred← citeshttps://doi.org/10.1109/jiot.2023.3278884openalex-snapshot
A Performance and Reliability-Guaranteed Predictive Approach to Service Migration Path Selection in Mobile Computing
inferred← citeshttps://doi.org/10.1137/060651860openalex-snapshot
The Lagrange Multiplier Rule for Multifunctions in Banach Spaces
inferred← citeshttps://doi.org/10.1137/0802009openalex-snapshot
Necessary Optimality Conditions for Nonsmooth Multicriterial Optimization Problems
inferred← citeshttps://doi.org/10.1137/16m107534xopenalex-snapshot
The Proximal Point Method for Locally Lipschitz Functions in Multiobjective Optimization with Application to the Compromise Problem
inferred← citeshttps://doi.org/10.1137/18m1223411openalex-snapshot
Existence of Lagrange Multipliers under Gâteaux Differentiable Data with Applications to Stochastic Optimal Control Problems
inferred← citeshttps://doi.org/10.1137/s0363012902406576openalex-snapshot
Necessary Optimality Conditions in Multiobjective Dynamic Optimization
inferred← citeshttps://doi.org/10.1137/s0363012999350821openalex-snapshot
Hamiltonian Necessary Conditions for a Multiobjective Optimal Control Problem with Endpoint Constraints
inferred← citeshttps://doi.org/10.1155/2013/678154openalex-snapshot
Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems
inferred← citeshttps://doi.org/10.11650/tjm/200701openalex-snapshot
Vector Critical Points and Cone Efficiency in Nonsmooth Vector Optimization
inferred← citeshttps://doi.org/10.14736/kyb-2025-2-0221openalex-snapshot
Optimality conditions for an interval-valued vector problem
inferred← citeshttps://doi.org/10.2298/yjor0901041popenalex-snapshot
On duality for nonsmooth Lipschitz optimization problems
inferred← citeshttps://doi.org/10.37193/cjm.2021.03.14openalex-snapshot
Approximate optimality and approximate duality in nonsmooth composite vector optimization
inferred← citeshttps://doi.org/10.48550/arxiv.1810.11617openalex-snapshot
Metric regularity under Gâteaux differentiability with applications to optimization and stochastic optimal control problems
inferred← citeshttps://doi.org/10.68381/jca21054openalex-snapshot
Characterization of Weakly Efficient Solutions for Nonlinear Multiobjective Programming Problems. Duality
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