Higher-Order Wolfe Type Symmetric Fractional Programming Problem Under Generalized Assumptions-Reference-Cited by-同舟云学术

Higher-Order Wolfe Type Symmetric Fractional Programming Problem Under Generalized Assumptions

Published:2022-12-01 Issue:6 Volume:7 Page:938-948
ISSN:2455-7749
Container-title:International Journal of Mathematical, Engineering and Management Sciences
language:en
Short-container-title:Int. j. math. eng. manag. sci.

Author:

Kumar Rajnish¹,Alam Alam²,Dubey Ramu³

Affiliation:

1. Department of Mathematics, School of Basic Sciences & Research, Sharda University, Greater Noida– 201306, Uttar Pradesh, India. Noida Institute of Engineering & Technology, Greater Noida, India.

2. Department of Mathematics, School of Basic Sciences & Research, Sharda University, Greater Noida– 201306, Uttar Pradesh, India.

3. Department of Mathematics, J. C. Bose, University of Science and Technology, YMCA Faridabad- 121006, Haryana, India.

Abstract

The Wolfe-type model over arbitrary cones is a new sort of model that we introduce in this article. We defend duality theorems under more generalized higher-order assumptions in the section after this. We identify a function that only belongs to the class of generalize higher order pseudoinvex functions, not the class of generalize higher order invex functions. In the last section, we added a conclusion for future prosecutions for the researchers. Additionally, compared to earlier results in the literature, all of the results in this research are more broadly applicable.

Publisher

Ram Arti Publishers

Subject

General Engineering,General Business, Management and Accounting,General Mathematics,General Computer Science

Reference20 articles.

1. Antczak, T. (2015). Saddle point criteria and Wolfe duality in no smooth (ϕ, ρ) - invex vector optimization problems with inequality and equality constraints. International Journal of Computer Mathematics, 92(5), 882-907.

2. Bazarra, M.S., & Goode, J.J. (1973). On symmetric duality in nonlinear programming. Operations Research, 21(1), 1-9.

3. Brumelle, S. (1981). Duality for multiple objective convex programs. Mathematics of Operations Research, 6(2), 159-172.

4. Chaudhary, M., & Sharma, S. (2019). Optimality and duality for set-valued fractional programming involving generalized cone invexity. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 10(1), 35-47.

5. Dorn, W.S. (1960). A symmetric dual theorem for quadratic program. Journal of the Operations Research Society of Japan, 2, 93-97.

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1. Generalized Second-Order G-Wolfe Type Fractional Symmetric Program and their Duality Relations under Generalized Assumptions;International Journal of Mathematical, Engineering and Management Sciences;2023-02-01