Optimality Conditions for E-Convex Interval-Valued Programming Problem Using gH-Symmetrical Derivative

Sachin Rastogi (), Akhlad Iqbal and Sanjeev Rajan ()
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Sachin Rastogi: Department of Mathematics, Hindu College, M.J.P. Rohilkhand University, Bareilly 243003, UP, India
Akhlad Iqbal: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, UP, India
Sanjeev Rajan: Department of Mathematics, Hindu College, M.J.P. Rohilkhand University, Bareilly 243003, UP, India

Asia-Pacific Journal of Operational Research (APJOR), 2023, vol. 40, issue 02, 1-17

Abstract: Taking into consideration gH-symmetrical derivative, we discuss Fritz John type optimality conditions for E-convex functions in interval-valued optimization problems. By a suitable example, we show that gH-symmetrical derivative is an extension of gH-derivative. We use LU type of order relation in this context.

Keywords: Fritz John optimality conditions; interval-valued functions; LU ordering; gH-symmetrically differentiation (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0217595922500117

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