PSEUDOCONVEX MULTIOBJECTIVE CONTINUOUS-TIME PROBLEMS AND VECTOR VARIATIONAL INEQUALITIES

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KHAKRAH E.; RAZANI A.; OVEISIHA M.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2017 | Volume:9 | Issue:3 Page(s): 195-202

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Information Journal Paper

Title

PSEUDOCONVEX MULTIOBJECTIVE CONTINUOUS-TIME PROBLEMS AND VECTOR VARIATIONAL INEQUALITIES

Author(s)

KHAKRAH E. | RAZANI A. | OVEISIHA M. | Issue Writer Certificate

Keywords

MULTIOBJECTIVE CONTINUOUS-TIME PROBLEMQ2

GENERALIZED VECTOR VARIATIONAL INEQUALITYQ2

EFFICIENCYQ2

GENERALIZED CONVEXITYQ2

Abstract

In this paper, the concept of pseudoconvexity and quasiconvexity for continuous -time functions are studied and an equivalence condition for pseudoconvexity is obtained. Moreover, under pseudoconvexity assumptions, some relationships between Minty and Stampacchia vector variational inequalities and continuous-time programming problems are presented. Finally, some characterizations of the solution sets of a single-valued continuous-time programming problem are obtained.

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APA: Copy

KHAKRAH, E., RAZANI, A., & OVEISIHA, M.. (2017). PSEUDOCONVEX MULTIOBJECTIVE CONTINUOUS-TIME PROBLEMS AND VECTOR VARIATIONAL INEQUALITIES. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 9(3), 195-202. SID. https://sid.ir/paper/231795/en

Vancouver: Copy

KHAKRAH E., RAZANI A., OVEISIHA M.. PSEUDOCONVEX MULTIOBJECTIVE CONTINUOUS-TIME PROBLEMS AND VECTOR VARIATIONAL INEQUALITIES. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2017;9(3):195-202. Available from: https://sid.ir/paper/231795/en

IEEE: Copy

E. KHAKRAH, A. RAZANI, and M. OVEISIHA, “PSEUDOCONVEX MULTIOBJECTIVE CONTINUOUS-TIME PROBLEMS AND VECTOR VARIATIONAL INEQUALITIES,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 9, no. 3, pp. 195–202, 2017, [Online]. Available: https://sid.ir/paper/231795/en

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