In this article, we study the existence of
Mots-clés : Symmetric duality, nondifferentiable, support function, Gf -bonvexity/Gf -pseudo-bonvexity, Mond-Weir type model
@article{RO_2019__53_2_539_0, author = {Dubey, Ramu and Mishra, Vishnu Narayan}, title = {Symmetric duality results for second-order nondifferentiable multiobjective programming problem}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {539--558}, publisher = {EDP-Sciences}, volume = {53}, number = {2}, year = {2019}, doi = {10.1051/ro/2019044}, zbl = {1423.90199}, language = {en}, url = {https://www.numdam.org/articles/10.1051/ro/2019044/} }
TY - JOUR AU - Dubey, Ramu AU - Mishra, Vishnu Narayan TI - Symmetric duality results for second-order nondifferentiable multiobjective programming problem JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2019 SP - 539 EP - 558 VL - 53 IS - 2 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2019044/ DO - 10.1051/ro/2019044 LA - en ID - RO_2019__53_2_539_0 ER -
%0 Journal Article %A Dubey, Ramu %A Mishra, Vishnu Narayan %T Symmetric duality results for second-order nondifferentiable multiobjective programming problem %J RAIRO - Operations Research - Recherche Opérationnelle %D 2019 %P 539-558 %V 53 %N 2 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2019044/ %R 10.1051/ro/2019044 %G en %F RO_2019__53_2_539_0
Dubey, Ramu; Mishra, Vishnu Narayan. Symmetric duality results for second-order nondifferentiable multiobjective programming problem. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 2, pp. 539-558. doi : 10.1051/ro/2019044. https://www.numdam.org/articles/10.1051/ro/2019044/
[1] New optimality conditions and duality results of G-type in differentiable mathematical programming. Nonlinear Anal. 66 (2007) 1617–1632. | Zbl
,[2] On G-invex multiobjective programming. Part I. Optimality. J. Global Optim. 43 (2009) 97–109. | Zbl
,[3] (V, ρ) invexity and non-smooth multiobjective programming. RAIRO: OR 32 (1998) 399–414.
and ,[4] Higher-order symmetric duality in nondifferentiable multiobjective programming problems. J. Math. Anal. Appl. 290 (2004) 423–435. | Zbl
,[5] Duality for a nondifferentiable multiobjective higher-order symmetric fractional programming problems with cone constraints. J. Non-linear Anal. Optim. 7 (2016) 1–15. | Zbl
and ,[6] Second-order multiobjective symmetric programming problem and duality relations under (F, G f ) convexity. Global J. Eng. Sci. Res. 5 (2018) 187–199.
, and ,[7] Duality relations for a class of a multiobjective fractional program- ming problem involving support functions. Am. J. Oper. Res. 8 (2018) 294–311.
, and ,[8] Duality relations for second-order programming problem under (G, α f )-bonvexity assumptions. Asian-Eur. J. Math. 13 (2020) 1–17.
, and ,[9] Optimality conditions and duality in multiobjective programming with (ϕ, ρ)-invexity. Yugoslav J. Oper. Res. 18 (2008) 153–165. | Zbl
and ,[10] Wolfe type second-order symmetric duality in nondifferentiable programming. J. Math. Anal. Appl. 310 (2005) 247–253. | Zbl
and ,[11] Second-order multiobjective symmetric duality with cone constraints. Eur. J. Oper. Res. 205 (2010) 247–252. | Zbl
, and ,[12] Multiobjective fractional programming problems involving (p, r)−ρ−(η, θ)-invex function. J. Appl. Math. Comput. 39 (2012) 35–51. | Zbl
, and ,[13] Optimality conditions of G-type in locally Lipchitz multiobjective programming. Vietnam J. Math. 40 (2012) 275–285. | Zbl
, and ,[14] Symmetric duality in multiobjective programming involving generalized cone-invex functions. Eur. J. Oper. Res. 165 (2005) 592–597. | Zbl
,[15] Symmetric duality with (p, r)−ρ−(η, θ)-invexity. Int. J. Pure Appl. Math. 217 (2011) 8141–8148. | Zbl
and ,[16] Second and higher order duality in nonlinear programming. J. Math. Anal. Appl. 51 (1975) 607–620. | Zbl
,[17] Second-order symmetric duality in multiobjective programming involving generalized cone-invex functions. Eur. J. Oper. Res. 178 (2007) 20–26. | Zbl
and ,[18] Optimality and duality with generalized convexity. J. Optim. Theory Appl. 86 (1995). | Zbl
, and ,[19] Multiobjective symmetric duality involving cones. Eur. J. Oper. Res. 141 (2002) 471–479. | Zbl
, and ,[20] Second order symmetric duality in multiobjective programming. Eur. J. Oper. Res. 144 (2003) 492–500. | Zbl
, and ,[21] Multiobjective programming with new invexities. Optim. Lett. 7 (2013) 855–870. | Zbl
and ,- Mixed‐Type Multiobjective Nondifferentiable Symmetric Duality Programming Problem Over Arbitrary Cones, Mathematical Methods in the Applied Sciences (2025) | DOI:10.1002/mma.10762
- Unification of Higher-Order Dual Programs Over Cones, Asia-Pacific Journal of Operational Research, Volume 41 (2024) no. 06 | DOI:10.1142/s0217595923500422
- Non-differentiable second-order symmetric multiobjective fractional variational programming with cones constraints, RAIRO - Operations Research, Volume 58 (2024) no. 5, p. 4553 | DOI:10.1051/ro/2024165
- Duality under novel generalizations of the D-type-I functions for multiple objective nonlinear programming problems, Scientific African, Volume 23 (2024), p. e02067 | DOI:10.1016/j.sciaf.2024.e02067
- Symmetric Duality for a Multiobjective Fractional Programming with Cone Objectives as Well as Constraints, Applications of Operational Research in Business and Industries (2023), p. 333 | DOI:10.1007/978-981-19-8012-1_22
- New Class of Multiobjective Fractional Symmetric Programming with Cone Functions Under Generalized Assumptions, Applications of Operational Research in Business and Industries (2023), p. 413 | DOI:10.1007/978-981-19-8012-1_27
- Generalized Second-Order G-Wolfe Type Fractional Symmetric Program and their Duality Relations under Generalized Assumptions, International Journal of Mathematical, Engineering and Management Sciences, Volume 8 (2023) no. 1, p. 142 | DOI:10.33889/ijmems.2023.8.1.009
- A pair of Mond–Weir type third order symmetric duality, Journal of Applied Mathematics and Computing, Volume 69 (2023) no. 4, p. 3391 | DOI:10.1007/s12190-023-01884-6
- Second-Order Symmetric Duality for Multiple Objectives Nonlinear Programming Under Generalizations of Cone-Preinvexity Functions, Journal of Scientific Computing, Volume 95 (2023) no. 1 | DOI:10.1007/s10915-023-02114-8
- Second-order symmetric duality in vector optimization involving (K,η)-pseudobonvexity, Bulletin des Sciences Mathématiques, Volume 175 (2022), p. 103109 | DOI:10.1016/j.bulsci.2022.103109
- Higher-Order Wolfe Type Symmetric Fractional Programming Problem Under Generalized Assumptions, International Journal of Mathematical, Engineering and Management Sciences, Volume 7 (2022) no. 6, p. 938 | DOI:10.33889/ijmems.2022.7.6.058
- Nondifferentiable generalized minimax fractional programming under (Ф,ρ)-invexity, Yugoslav Journal of Operations Research, Volume 32 (2022) no. 1, p. 3 | DOI:10.2298/yjor200915018u
- A class of new type unified non-differentiable higher order symmetric duality theorems over arbitrary cones under generalized assumptions, Yugoslav Journal of Operations Research, Volume 32 (2022) no. 2, p. 189 | DOI:10.2298/yjor210218020d
- , INTERNATIONAL CONFERENCE ON RECENT TRENDS IN APPLIED MATHEMATICAL SCIENCES (ICRTAMS-2020), Volume 2364 (2021), p. 020031 | DOI:10.1063/5.0063227
- Second-order multi-objective non–differentiable Schaible type model and its duality relation under (K xQ)–C–type–I functions, International Journal of Modelling and Simulation, Volume 41 (2021) no. 5, p. 397 | DOI:10.1080/02286203.2021.1983966
- New class of G-Wolfe-type symmetric duality model and duality relations under
-bonvexity over arbitrary cones, Journal of Inequalities and Applications, Volume 2020 (2020) no. 1 | DOI:10.1186/s13660-019-2279-0 - Multiobjective Fractional Symmetric Duality in Mathematical Programming with (C,Gf)-Invexity Assumptions, Axioms, Volume 8 (2019) no. 3, p. 97 | DOI:10.3390/axioms8030097
- Duality for Unified Higher-Order Minimax Fractional Programming with Support Function under Type-I Assumptions, Mathematics, Volume 7 (2019) no. 11, p. 1034 | DOI:10.3390/math7111034
- Nondifferentiable G-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions, Symmetry, Volume 11 (2019) no. 11, p. 1348 | DOI:10.3390/sym11111348
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