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International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749 . Open Access


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

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

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

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

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

DOI https://doi.org/10.33889/IJMEMS.2022.7.6.058

Received on February 10, 2022
  ;
Accepted on October 02, 2022

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.

Keywords- Higher-order, Generalized invexity/ pseudoinvexity, Arbitrary cones, Wolfe model, Fractional programming.

Citation

Kumar, R., Alam, K., & Dubey, R. (2022). Higher-Order Wolfe Type Symmetric Fractional Programming Problem Under Generalized Assumptions. International Journal of Mathematical, Engineering and Management Sciences, 7(6), 938-948. https://doi.org/10.33889/IJMEMS.2022.7.6.058.