Anurag JAYSWAL , Ajeet KUMAR^* . SEMI-INFINITE INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH ROBUST CONSTRAINTS[J]. Acta mathematica scientia, Series B, 2026 , 46(1) : 383 -406 . DOI: 10.1007/s10473-026-0121-6

[1] Antczak T. Optimality conditions and duality results for nonsmooth vector optimization problems with the multiple interval-valued objective function. Acta Math Sci, 2017, $\textbf{37B}$: 1133-1150
[2] Aubin J P.Mathematical Methods of Game and Economic Theory. Amsterdam: North-Holland Publishing Company, 1979
[3] Bhurjee A K, Panda G. Efficient solution of interval optimization problem. Math Meth Oper Res, 2012, $\textbf{76}$: 273-288
[4] Bhurjee A K, Panda G. Multi-objective optimization problem with bounded parameters. RAIRO Oper Res, 2014, $\textbf{48}$: 545-558
[5] Ciontescu M, Treanţă S. On some connections between interval-valued variational control problems and the associated inequalities. Results Control Optim, 2023, $\textbf{12}$: 100300
[6] Chalco-Cano Y, Lodwick W A, Rufián-Lizana A. Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative. Fuzzy Optim Decis, 2013, $\textbf{12}$: 305-322
[7] Chauhan R S, Ghosh D, Ansari Q H. Generalized Hukuhara Hadamard derivative of interval-valued functions and its applications to interval optimization. Soft Comput, 2024, $\textbf{28}$: 4107-4123
[8] Chauhan R S, Ghosh D, Ramík J, Debnath A K. Generalized Hukuhara-Clarke derivative of interval-valued functions and its properties. Soft Comput, 2021, $\textbf{25}$: 14629-14643
[9] Gadhi N A, El Idrissi M. Necessary optimality conditions for a multiobjective semi-infinite interval-valued programming problem. Optim Lett, 2022, $\textbf{16}$: 653-666
[10] Ghosh D. Newton method to obtain efficient solutions of the optimization problems with interval-valued objective functions. J Appl Math Comput, 2017, $\textbf{53}$: 709-731
[11] Ghosh D, Chauhan R S, Mesiar R, Debnath A K. Generalized Hukuhara Gateaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions. Inf Sci, 2020, $\textbf{510}$: 317-340
[12] Ghosh D, Ghosh D, Bhuiya S K, Patra L K. A saddle point characterization of efficient solutions for interval optimization problems. J Appl Math Comput, 2018, $\textbf{58}$: 193-217
[13] Ghosh D, Mesiar R, Yao H R, Chauhan R S. Generalized-Hukuhara subdifferential analysis and its application in nonconvex composite interval optimization problems. Inf Sci, 2023, $\textbf{622}$: 771-793
[14] Goberna M A, Jeyakumar V, Li G, López M A. Robust linear semi-infinite programming duality under uncertainty. Math Program, 2013, $\textbf{139}$: 185-203
[15] Goberna M A, López-Cerdá M A. Linear Semi-infinite Optimization. Chichester: John Wiley & Sons, 1998
[16] Goberna M A, López M A. Linear semi-infinite programming theory: An updated survey. Eur J Oper Res, 2002, $\textbf{143}$: 390-405
[17] Guo Y, Ye G, Liu W, et al. Solving nonsmooth interval optimization problems based on interval-valued symmetric invexity. Chaos Solit Fractals, 2023, $\textbf{174}$: 113834
[18] Hettich R, Kortanek K O. Semi-infinite programming: Theory, methods,applications. SIAM Rev, 1993, $\textbf{35}$: 380-429
[19] Ishibuchi H, Tanaka H. Multiobjective programming in optimization of the interval objective function. Eur J Oper Res, 1990, $\textbf{48}$: 219-225
[20] Jaichander R R, Ahmad I, Kummari K. Robust semi-infinite interval-valued optimization problem with uncertain inequality constraints. Korean J Math, 2022, $\textbf{30}$: 475-489
[21] Jayswal A, Ahmad I, Banerjee J. Nonsmooth interval-valued optimization and saddle-point optimality criteria. Bull Malays Math Sci Soc, 2016, $\textbf{39}$: 1391-1411
[22] Jayswal A, Stancu-Minasian I, Banerjee J, Stancu A M. Sufficiency and duality for optimization problems involving interval-valued invex functions in parametric form. Oper Res, 2015, $\textbf{15}$: 137-161
[23] Karaman E. Some optimality criteria of interval programming problems. Bull Malays Math Sci Soc, 2021, $\textbf{44}$: 1387-1400
[24] Kumar P, Bhurjee A K. An efficient solution of nonlinear enhanced interval optimization problems and its application to portfolio optimization. Soft Comput, 2021, $\textbf{25}$: 5423-5436
[25] Lee J H, Lee G M. On optimality conditions and duality theorems for robust semi-infinite multiobjective optimization problems. Ann Oper Res, 2018, $\textbf{269}$, 419-438
[26] López M, Still G. Semi-infinite programming. Eur J Oper Res, 2018, $\textbf{180}$: 491-518
[27] Peng Z, Peng J Y, Li D, Zhao Y.Optimality conditions and duality results for generalized-Hukuhara subdifferentiable preinvex vector interval optimization problems. Authorea Preprints, 2024
[28] Rahman M S, Shaikh A A, Bhunia A K. Necessary and sufficient optimality conditions for non-linear unconstrained and constrained optimization problem with interval valued objective function. Comput Ind Eng, 2020, $\textbf{147}$: 106-634
[29] Shapiro A. On duality theory of convex semi-infinite programming. Optimization, 2005, $\textbf{54}$: 535-543
[30] Treanţă S. LU-optimality conditions in optimization problems with mechanical work objective functionals. IEEE Trans Neural Netw Learn Syst, 2021, $\textbf{33}$: 4971-4978
[31] Treanţă S, Mishra P, Upadhyay B B. Minty variational principle for nonsmooth interval-valued vector optimization problems on Hadamard manifolds. Mathematics, 2022, $\textbf{10}$: 523
[32] Wu H C. Duality theory in interval-valued linear programming problems. J Optim Theory Appl, 2011, $\textbf{15}$: 298-316
[33] Zhang J, Liu S, Li L, Feng Q. The KKT optimality conditions in a class of generalized convex optimization problems with an interval-valued objective function. Optim Lett, 2014, $\textbf{8}$: 607-631