[
AUBIN, J.P. (1981) Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions. In: L. Nachbin (ed.), Mathematical Analysis and Applications, Part A, Academic Press, New York, 160–229.
]Search in Google Scholar
[
AUBIN, J.P. and FRANKOWSKA, H. (1990) Set-Valued Analysis. Birk¨auser, Boston.
]Search in Google Scholar
[
AVRIEL, M. (1976) Nonlinear Programming: Theory and Method. Prentice-Hall, Englewood Cliffs, New Jersey.
]Search in Google Scholar
[
BHATIA, D. and GARG, P.K. (1998) Duality for non smooth non linear fractional multiobjective programs via (F, ρ)-convexity. Optimization 43(2), 185–197.
]Search in Google Scholar
[
BHATIA, D. and MEHRA, A. (1997) Lagrangian duality for preinvex set-valued functions. J. Math. Anal. Appl. 214(2), 599–612.
]Search in Google Scholar
[
BHATIA, D. and MEHRA, A. (1998) Fractional programming involving set-valued functions. Indian J. Pure Appl. Math. 29, 525–540. BORWEIN, J. (1977) Multivalued convexity and optimization: a unified approach to inequality and equality constraints. Math. Program. 13(1), 183–199.
]Search in Google Scholar
[
DAS, K. (2022) Sufficiency and duality of set-valued fractional programming problems via second-order contingent epiderivative. Yugosl. J. Oper. Res. 32(2), 167–188.
]Search in Google Scholar
[
DAS, K. (2023) On constrained set-valued optimization problems with ρ-cone arcwise connectedness. SeMA J. 80(3), 463–478.
]Search in Google Scholar
[
DAS, K. (2024) Set-valued parametric optimization problems with higher-order ρ-cone arcwise connectedness. SeMA J. 81(4), 589–607.
]Search in Google Scholar
[
DAS, K., AHMAD, I. and TREANTA, S. (2024) Cone arcwise connectivity in optimization problems with difference of set-valued mappings. SeMA J., 81(3), 511–529.
]Search in Google Scholar
[
DAS, K. and TREANTA, S. (2021) On constrained set-valued semi-infinite programming problems with ρ-cone arcwise connectedness. Axioms, 10(4), 302.
]Search in Google Scholar
[
DAS, K., TREANTA, S. and BOTMART, T. (2023) Set-valued minimax programming problems under σ-arcwisely connectivity. AIMS Math., 8(5): 11238–11258.
]Search in Google Scholar
[
DAS, K., TREANTA, S. and KHAN, M.B. (2023) Set-valued fractional programming problems with σ-arcwisely connectivity. AIMS Math., 8(6), 13181–13204.
]Search in Google Scholar
[
FU, J.Y. and WANG, Y.H. (2003) Arcwise connected cone-convex functions and mathematical programming. J. Optim. Theory Appl. 118(2), 339–352.
]Search in Google Scholar
[
GADHI, N. and JAWHAR, A. (2013) Necessary optimality conditions for a set-valued fractional extremal programming problem under inclusion constraints. J. Global Optim. 56(2), 489–501.
]Search in Google Scholar
[
JAHN, J., KHAN, A. and ZEILINGER, P. (2005) Second-order optimality conditions in set optimization. J. Optim. Theory Appl. 125(2), 331–347.
]Search in Google Scholar
[
JAHN, J. and RAUH, R. (1997) Contingent epiderivatives and set-valued optimization. Math. Method Oper. Res. 46(2), 193–211.
]Search in Google Scholar
[
KAUL, R.N. and LYALL, V. (1989) A note on nonlinear fractional vector maximization. Opsearch 26(2), 108–121.
]Search in Google Scholar
[
KHAN, M.B., ZAINI, H.G., TREANTA, S., SANTOS-GARCIA, G., MACIAS-DIAZ, J. E. and SOLIMAN, M. S. (2022) Fractional calculus for convex functions in interval-valued settings and inequalities. Symmetry, 14(2), 341.
]Search in Google Scholar
[
KHANH, P.Q. and TUNG, N.M. (2015) Optimality conditions and duality for nonsmooth vector equilibrium problems with constraints. Optimization 64(7), 1547–1575.
]Search in Google Scholar
[
LALITHA, C.S., DUTTA, J. and GOVIL, M.G. (2003) Optimality criteria in set-valued optimization. J. Aust. Math. Soc. 75(2), 221–232.
]Search in Google Scholar
[
LEE, J.C. and HO, S.C. (2008) Optimality and duality for multiobjective fractional problems with r-invexity. Taiwanese J. Math. 12(3), 719–740.
]Search in Google Scholar
[
LI, S.J. and CHEN, C.R. (2006) Higher order optimality conditions for Henig efficient solutions in set-valued optimization. J. Math. Anal. Appl. 323(2), 1184–1200.
]Search in Google Scholar
[
LI, S.J., TEO, K.L. and YANG, X.Q. (2008a) Higher-order Mond–Weir duality for set-valued optimization. J. Comput. Appl. Math. 217(2), 339–349.
]Search in Google Scholar
[
LI, S.J., TEO, K.L. and YANG, X.Q. (2008b) Higher-order optimality conditions for set-valued optimization. J. Optim. Theory Appl. 137(3), 533–553.
]Search in Google Scholar
[
PENG, Z. and XU, Y. (2018) Second-order optimality conditions for cone-subarcwise connected set-valued optimization problems. Acta Math. Appl. Sin. Engl. Ser. 34(1), 183–196.
]Search in Google Scholar
[
QIU, Q. and YANG, X. (2012) Connectedness of Henig weakly efficient solution set for set-valued optimization problems. J. Optim. Theory Appl. 152(2), 439–449.
]Search in Google Scholar
[
SUNEJA, S.K. and GUPTA, S. (1990) Duality in multiple objective fractional programming problems involving nonconvex functions. Opsearch 27(4), 239–253.
]Search in Google Scholar
[
SUNEJA, S.K. and LALITHA, C. (1993) Multiobjective fractional programming involving ρ-invex and related functions. Opsearch 30(1), 1–14.
]Search in Google Scholar
[
TREANTA, S. (2021) Well posedness of new optimization problems with variational inequality constraints. Fractal and Fractional, 5(3), 123.
]Search in Google Scholar
[
YIHONG, X. U. and MIN, L. I. (2016) Optimality conditions for weakly efficient elements of set-valued optimization with α-order near cone-arcwise connectedness. J. Systems Sci. Math. Sci. 36(10), 1721–1729.
]Search in Google Scholar
[
YU, G. (2013) Optimality of global proper efficiency for cone-arcwise connected set-valued optimization using contingent epiderivative. Asia-Pac. J. Oper. Res. 30(03), 1340004.
]Search in Google Scholar
[
YU, G. (2016) Global proper efficiency and vector optimization with cone-arcwise connected set-valued maps. Numer. Algebra, Control & Optim. 6(1), 35–44.
]Search in Google Scholar