On the public citation graph
Optimality conditions and duality in subdifferentiable multiobjective fractional programming
0 signed · 84 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4684-8395-6openalex-snapshot
Multiple-Criteria Decision Making: "Concepts, Techniques, And Extensions"
inferredcites →https://doi.org/10.1007/978-3-642-46709-7_16openalex-snapshot
Duality in Multiobjective Fractional Programming
inferredcites →https://doi.org/10.1007/bf00933935openalex-snapshot
Necessary conditions for optimality of nondifferentiable convex multiobjective programming
inferredcites →https://doi.org/10.1007/bf00938628openalex-snapshot
Duality theorem of nondifferentiable convex multiobjective programming
inferredcites →https://doi.org/10.1007/bf01580396openalex-snapshot
Fractional programming without differentiability
inferredcites →https://doi.org/10.1016/0022-247x(79)90228-2openalex-snapshot
More on subgradient duality
inferredcites →https://doi.org/10.1016/0022-247x(86)90034-xopenalex-snapshot
A class of multiple-criteria fractional programming problems
inferredcites →https://doi.org/10.1016/0305-0548(93)90042-hopenalex-snapshot
Nonlinear programming: theory and algorithms
inferredcites →https://doi.org/10.1016/s0076-5392(09)x6017-0openalex-snapshot
Theory of Multiobjective Optimization
inferredcites →https://doi.org/10.1017/s000497270000277xopenalex-snapshot
Generalised convexity and duality in multiple objective programming
inferredcites →https://doi.org/10.1017/s0004972700010303openalex-snapshot
A duality theorem for a multiple objective fractional optimization problem
inferredcites →https://doi.org/10.1017/s0004972700026988openalex-snapshot
Multiobjective fractional duality
inferredcites →https://doi.org/10.1057/jors.1979.231openalex-snapshot
Nonlinear Programming -- Theory and Algorithms
inferredcites →https://doi.org/10.1080/01630569008816373openalex-snapshot
Vector-valued lagrangian and multiobjective fractional programming duality
inferredcites →https://doi.org/10.1080/02522667.1986.10698859openalex-snapshot
A Dual For A Multiple Objective Fractional Programming Problem
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/mma.9512openalex-snapshot
Interval‐valued variational programming problem with Caputo–Fabrizio fractional derivative
inferred← citeshttps://doi.org/10.1006/jmaa.2001.7586openalex-snapshot
Optimality and Duality for Nonsmooth Multiobjective Fractional Programming with Generalized Invexity
inferred← citeshttps://doi.org/10.1007/0-306-48107-3_2openalex-snapshot
Nonlinear Multiobjective Programming
inferred← citeshttps://doi.org/10.1007/978-981-13-0860-4_12openalex-snapshot
Necessary and Sufficient Optimality Conditions for Fractional Interval-Valued Optimization Problems
inferred← citeshttps://doi.org/10.1007/bf02190007openalex-snapshot
Proper efficiency and duality for a class of constrained multiobjective fractional optimal control problems containing arbitrary norms
inferred← citeshttps://doi.org/10.1007/bf03398503openalex-snapshot
Constrained Vector Valued Ratio Games and Generalized Subdifferentiable Multiobjective Fractional Minmax Programming
inferred← citeshttps://doi.org/10.1007/s10479-016-2130-7openalex-snapshot
A class of nonsmooth fractional multiobjective optimization problems
inferred← citeshttps://doi.org/10.1007/s10852-013-9241-9openalex-snapshot
Mixed Type Duality in Multiobjective Fractional Programming Under Generalized ρ-univex Function
inferred← citeshttps://doi.org/10.1007/s10898-006-9103-3openalex-snapshot
Optimality conditions and duality for a class of nondifferentiable multi-objective fractional programming problems
inferred← citeshttps://doi.org/10.1007/s10898-007-9168-7openalex-snapshot
Optimality and duality for nonsmooth multiobjective fractional programming with mixed constraints
inferred← citeshttps://doi.org/10.1007/s10957-006-9048-1openalex-snapshot
Optimality and Duality for a Class of Nondifferentiable Multiobjective Fractional Programming Problems
inferred← citeshttps://doi.org/10.1007/s10957-006-9105-9openalex-snapshot
Sufficiency in Nonsmooth Multiobjective Programming Involving Generalized (Fρ)-convexity
inferred← citeshttps://doi.org/10.1007/s10957-010-9740-zopenalex-snapshot
Optimality Conditions and Duality for Nondifferentiable Multiobjective Fractional Programming Problems with (C,α,ρ,d)-convexity
inferred← citeshttps://doi.org/10.1007/s11075-024-01840-wopenalex-snapshot
Optimality and duality results for fractional programming problems under E-univexity
inferred← citeshttps://doi.org/10.1007/s11117-024-01052-5openalex-snapshot
Second-order strong optimality and duality for nonsmooth multiobjective fractional programming with constraints
inferred← citeshttps://doi.org/10.1007/s11587-026-01155-zopenalex-snapshot
Multi-objective fractional programming on Riemannian Manifold
inferred← citeshttps://doi.org/10.1007/s11750-014-0347-7openalex-snapshot
First- and second-order optimality conditions for multiobjective fractional programming
inferred← citeshttps://doi.org/10.1007/s12190-011-0508-xopenalex-snapshot
Multiobjective fractional programming problems involving (p,r)−ρ−(η,θ)-invex function
inferred← citeshttps://doi.org/10.1007/s12190-015-0929-zopenalex-snapshot
Sufficiency and duality for nonsmooth multiobjective fractional programming problems involving $$(\Phi ,\rho ,\alpha )$$ ( Φ , ρ , α ) -V-invexity
inferred← citeshttps://doi.org/10.1007/s12597-014-0175-4openalex-snapshot
Multi-objective interval fractional programming problems : An approach for obtaining efficient solutions
inferred← citeshttps://doi.org/10.1007/s12597-015-0243-4openalex-snapshot
Weak efficiency of higher order for multiobjective fractional variational problem
inferred← citeshttps://doi.org/10.1007/s40819-016-0261-9openalex-snapshot
A Taxonomy and Review of the Multi-Objective Fractional Programming (MOFP) Problems
inferred← citeshttps://doi.org/10.1007/s40840-016-0433-0openalex-snapshot
Saddle Point Criteria in Multiobjective Fractional Programming Involving Exponential Invexity
inferred← citeshttps://doi.org/10.1007/s40840-021-01151-6openalex-snapshot
Optimality and Duality for Multi-objective Fractional Programming in Complex Spaces
inferred← citeshttps://doi.org/10.1007/s40995-022-01309-2openalex-snapshot
On Quasidifferentiable Multiobjective Fractional Programming
inferred← citeshttps://doi.org/10.1016/0898-1221(96)00106-xopenalex-snapshot
Optimality and duality for generalized fractional programming involving nonsmooth (F, ρ)-convex functions
inferred← citeshttps://doi.org/10.1016/j.amc.2013.03.044openalex-snapshot
Mixed type duality for nondifferentiable multiobjective fractional programming under generalized (d,ρ,η,θ)-type 1 univex function
inferred← citeshttps://doi.org/10.1016/j.amc.2014.09.036openalex-snapshot
Higher order duality in multiobjective fractional programming with square root term under generalized higher order (F,α,β,ρ,σ,d) -V-type I univex functions
inferred← citeshttps://doi.org/10.1016/j.chaos.2025.116638openalex-snapshot
A nonparametric approach to nonsmooth vector fractional interval-valued optimization problems
inferred← citeshttps://doi.org/10.1016/j.na.2005.03.051openalex-snapshot
On optimality and duality for nonsmooth multiobjective fractional optimization problems
inferred← citeshttps://doi.org/10.1016/j.na.2007.02.033openalex-snapshot
Optimality for nonsmooth fractional multiple objective programming
inferred← citeshttps://doi.org/10.1016/j.na.2011.12.013openalex-snapshot
Optimality and duality for nonsmooth multiobjective fractional programming problems involving exponential --invexity
inferred← citeshttps://doi.org/10.1016/j.rico.2024.100486openalex-snapshot
Optimality results for nondifferentiable multiobjective fractional programming problems under E-B-invexity
inferred← citeshttps://doi.org/10.1017/s0004972700015112openalex-snapshot
Two types of duality in multiobjective fractional programming
inferred← citeshttps://doi.org/10.1051/ro/2024163openalex-snapshot
On multiobjective fractional programs with vanishing constraints
inferred← citeshttps://doi.org/10.1080/01630560701766692openalex-snapshot
Mixed Duality without Constraint Qualification for Nonsmooth Fractional Programming
inferred← citeshttps://doi.org/10.1080/01630563.2021.2006694openalex-snapshot
On Minimax Fractional Semi-Infinite Programming Problems with Applications
inferred← citeshttps://doi.org/10.1080/02331930600819613openalex-snapshot
A sixth bibliography of fractional programming
inferred← citeshttps://doi.org/10.1080/02331934.2023.2257220openalex-snapshot
Optimality conditions and DC-Dinkelbach-type algorithm for vector fractional programming problems with ratios of difference of convex functions
inferred← citeshttps://doi.org/10.1080/02331939608844188openalex-snapshot
Optimality and duality for multiobjective fractional programming involving nonsmooth($si:F$esi:ρ)–convex functions
inferred← citeshttps://doi.org/10.1080/02331939608844193openalex-snapshot
Continuous-time multiobjective fractional programming
inferred← citeshttps://doi.org/10.1080/02331939608844194openalex-snapshot
Optimality and duality for multiobjective fractional programming involving nonsmooth pseudoinvex functions
inferred← citeshttps://doi.org/10.1080/02331939608844241openalex-snapshot
Lagrange multipliers saddle points and scalarizations in composite multiobjective nonsmooth programming
inferred← citeshttps://doi.org/10.1080/02331939708844344openalex-snapshot
Efficiency Criteria and Duality Models for Multiobjective Fractional Programming Problems Containing Locall'y Subdifferentiable and ρ-Convex Functions
inferred← citeshttps://doi.org/10.1080/02331939808844382openalex-snapshot
Duality for non smooth non linear fractional multiobjective programs via (F,ρ) - convexity
inferred← citeshttps://doi.org/10.1080/02331939908844423openalex-snapshot
Lower subdifferentiability in minimax fractional programming*
inferred← citeshttps://doi.org/10.1080/02331939908844438openalex-snapshot
A fifth bibliography of fractional programming*
inferred← citeshttps://doi.org/10.1080/09720510.1998.10700977openalex-snapshot
Proper efficiency principles and duality models for a class of continuous-time multiobjective fractional programming problems with operator constraints
inferred← citeshttps://doi.org/10.1088/1742-6596/2747/1/012015openalex-snapshot
The Optimality Conditions for Generalized Uniform η – V – I Invariant Convexity Programming
inferred← citeshttps://doi.org/10.1109/icmt.2011.6002013openalex-snapshot
The linear weighting method for solving a class of non-differentiable multiobjective programming problem
inferred← citeshttps://doi.org/10.1111/itor.12260openalex-snapshot
Existence of χ‐efficient solution of multiobjective fractional programming problem with bounded parameters
inferred← citeshttps://doi.org/10.1142/s1793557124500207openalex-snapshot
Sufficient optimality, duality and saddle point analysis in terms of convexificators for nonsmooth robust fractional interval-valued optimization problems
inferred← citeshttps://doi.org/10.1155/2013/237428openalex-snapshot
Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential B-p,r -Invexity
inferred← citeshttps://doi.org/10.1155/2014/541524openalex-snapshot
Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function
inferred← citeshttps://doi.org/10.11650/twjm/1500405614openalex-snapshot
DUALITY IN NONDIFFERENTIABLE MULTIOBJECTIVE FRACTIONAL PROGRAMS INVOLVING CONES
inferred← citeshttps://doi.org/10.1186/1029-242x-2011-116openalex-snapshot
Semilocal E-preinvexity and its applications in nonlinear multiple objective fractional programming
inferred← citeshttps://doi.org/10.1186/1029-242x-2013-508openalex-snapshot
Nonconvex composite multiobjective nonsmooth fractional programming
inferred← citeshttps://doi.org/10.1186/s13660-019-2237-xopenalex-snapshot
Optimality and duality results for E-differentiable multiobjective fractional programming problems under E-convexity
inferred← citeshttps://doi.org/10.11948/2015001openalex-snapshot
SECOND ORDER NONDIFFERENTIABLE MULTIOBJECTIVE FRACTIONAL PROGRAMMING UNDER GENERALIZED UNIVEX FUNCTIONS
inferred← citeshttps://doi.org/10.12677/aam.2024.134176openalex-snapshot
Optimality Conditions of the Fractional Optimization Problem with Composite Function
inferred← citeshttps://doi.org/10.14317/jami.2013.189openalex-snapshot
SUFFICIENCY IN NONSMOOTH MULTIOBJECTIVE FRACTIONAL PROGRAMMING
inferred← citeshttps://doi.org/10.1504/ijcsm.2014.066427openalex-snapshot
Mixed type duality in non-differentiable multi-objective fractional programming under generalised (Φ, ρ)-univex function
inferred← citeshttps://doi.org/10.21279/1454-864x-16-i1-060openalex-snapshot
OPTIMALITY CONDITIONS FOR MULTI-OBJECTIVE FRACTIONAL SEMI-INFINITE PROGRAMMING WITH UNIFORM K- (Fb,p) CONVEXITY
inferred← citeshttps://doi.org/10.2298/yjor130131012jopenalex-snapshot
On nonsmooth multiobjective fractional programming problems involving (p, r)− ρ −(η ,θ)- invex functions
inferred← citeshttps://doi.org/10.2298/yjor210815028ropenalex-snapshot
Necessary and sufficient optimality conditions for fractional interval-valued variational problems
inferred← citeshttps://doi.org/10.3906/mat-1705-65openalex-snapshot
Parametric nondifferentiable multiobjective fractional programming under (b;;; )-univexity
inferred← citeshttps://doi.org/10.3934/jimo.2024189openalex-snapshot
Approximate Karush-Kuhn-Tucker conditions for multiobjective fractional programming problems
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.