A Class of New Type Unified Non-Differentiable Higher Order Symmetric Duality Theorems over Arbitrary Cones under Generalized Assumptions

  • Ramu Dubey Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad, 121 006, India
  • Rajnish Kumar Department of Mathematics, School of Basic Sciences and Research, Sharda University, India
  • Khursheed Alam Department of Mathematics, School of Basic Sciences and Research, Sharda University, India
  • Lakshmi Narayan Mishra Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632 014, Tamil Nadu, India
  • Vishnu Narayan Mishra Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur 484 887, Madhya Pradesh, India

Abstract

In the present paper, a newly combined higher-order non-dierentiable sym-metric duality in scalar-objective programming over arbitrary cones is formulated. In literature we have discussed primal-dual results with arbitrary cones, while in this article, we have derived combined result with one model over arbitrary cones. The the-
orems of duality are derived for these problems under -pseudoinvexity/-invexity/C-pseudoconvexity/C-convexity speculations over arbitrary cones.

Published
Jun 30, 2022
How to Cite
DUBEY, Ramu et al. A Class of New Type Unified Non-Differentiable Higher Order Symmetric Duality Theorems over Arbitrary Cones under Generalized Assumptions. Yugoslav Journal of Operations Research, [S.l.], v. 32, n. 2, p. 189-202, june 2022. ISSN 2334-6043. Available at: <http://yujor.fon.bg.ac.rs/index.php/yujor/article/view/953>. Date accessed: 02 may 2024.
Citation Formats
Issue
Vol 32 No 2 (2022)
Section
Research Articles
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