scholarly journals A class of new type unified non-differentiable higher order symmetric duality theorems over arbitrary cones under generalized assumptions

2021 ◽  
pp. 20-20
Author(s):  
Ramu Dubey ◽  
Rajnish Kumar ◽  
Khursheed Alam ◽  
Lakshmi Mishra ◽  
Vishnu Mishra
Keyword(s):  
Higher Order ◽  
Duality Theorems ◽  
Symmetric Duality ◽  
Primal Dual ◽  
New Type ◽  
Objective Programming

In the present paper, a newly combined higher-order non-differentiable symmetric 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 theorems of duality are derived for these problems under ?-pseudoinvexity/?-invexity/C-pseudoconvexity/C-convexity speculations over arbitrary cones.

scholarly journals Mixed Type Nondifferentiable Higher-Order Symmetric Duality over Cones

Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 274 ◽  
Author(s):  
Izhar Ahmad ◽  
Khushboo Verma ◽  
Suliman Al-Homidan
Keyword(s):  
Mixed Type ◽  
Higher Order ◽  
Dual Model ◽  
Duality Theorems ◽  
Symmetric Duality ◽  
Converse Duality ◽  
Self Duality ◽  
Pseudoconvex Functions

A new mixed type nondifferentiable higher-order symmetric dual programs over cones is formulated. As of now, in the literature, either Wolfe-type or Mond–Weir-type nondifferentiable symmetric duals have been studied. However, we present a unified dual model and discuss weak, strong, and converse duality theorems for such programs under higher-order F - convexity/higher-order F - pseudoconvexity. Self-duality is also discussed. Our dual programs and results generalize some dual formulations and results appeared in the literature. Two non-trivial examples are given to show the uniqueness of higher-order F - convex/higher-order F - pseudoconvex functions and existence of higher-order symmetric dual programs.

scholarly journals Nondifferentiable higher order symmetric duality under invexity/generalized invexity

Filomat ◽  
2014 ◽  
Vol 28 (8) ◽  
pp. 1661-1674 ◽  
Author(s):  
T.R. Gulati ◽  
Khushboo Verma
Keyword(s):  
Higher Order ◽  
Duality Theorems ◽  
Symmetric Duality ◽  
Converse Duality ◽  
Generalized Invexity ◽  
Self Duality ◽  
Special Cases ◽  
Dual Models

In this paper, we introduce a pair of nondifferentiable higher-order symmetric dual models. Weak, strong and converse duality theorems for this pair are established under the assumption of higher order invexity/generalized invexity. Self duality has been discussed assuming the function involved to be skew-symmetric. Several known results are obtained as special cases.

scholarly journals Higher-order symmetric duality in nondifferentiable multiobjective optimization over cones

Filomat ◽  
2019 ◽  
Vol 33 (3) ◽  
pp. 711-724
Author(s):  
N. Kailey ◽  
S Sonali
Keyword(s):  
Convex Set ◽  
Compact Convex ◽  
Higher Order ◽  
Objective Functions ◽  
Duality Theorems ◽  
Symmetric Duality ◽  
Self Duality ◽  
Special Cases ◽  
Compact Convex Set ◽  
Convexity Assumptions

In this paper, a new pair of higher-order nondifferentiable multiobjective symmetric dual programs over arbitrary cones is formulated, where each of the objective functions contains a support function of a compact convex set. We identify a function lying exclusively in the class of higher-order K-?-convex and not in the class of K-?-bonvex function already existing in literature. Weak, strong and converse duality theorems are then established under higher-order K-?-convexity assumptions. Self duality is obtained by assuming the functions involved to be skew-symmetric. Several known results are also discussed as special cases.

scholarly journals Higher order symmetric duality for multiobjective fractional programming problems over cones

2021 ◽  
pp. 12-12
Author(s):  
Arshpreet Kaur ◽  
MaheshKumar Sharma
Keyword(s):  
Convex Function ◽  
Programming Problem ◽  
Fractional Programming ◽  
Higher Order ◽  
Symmetric Model ◽  
Multiobjective Fractional Programming ◽  
Symmetric Duality ◽  
Duality Results ◽  
Primal Dual ◽  
Set Up

This article studies a pair of higher order nondifferentiable symmetric fractional programming problem over cones. First, higher order cone convex function is introduced. Then using the properties of this function, duality results are set up, which give the legitimacy of the pair of primal dual symmetric model.

scholarly journals New type of degenerate Daehee polynomials of the second kind

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Sunil Kumar Sharma ◽  
Waseem A. Khan ◽  
Serkan Araci ◽  
Sameh S. Ahmed
Keyword(s):  
Generating Function ◽  
Special Class ◽  
Stirling Numbers ◽  
Bernoulli Numbers ◽  
Higher Order ◽  
Bernoulli Numbers And Polynomials ◽  
New Type ◽  
Order Degenerate ◽  
Math Phys

Abstract Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. 27(2):227–235, 2020), we consider a special class of polynomials, which we call a new type of degenerate Daehee numbers and polynomials of the second kind. By using their generating function, we derive some new relations including the degenerate Stirling numbers of the first and second kinds. Moreover, we introduce a new type of higher-order degenerate Daehee polynomials of the second kind. We also derive some new identities and properties of this type of polynomials.

scholarly journals Special class of G-Wolfe type fractional symmetric duality theorems under G-pseodoinvexity assumptions

2021 ◽  
Vol 1724 (1) ◽  
pp. 012027
Author(s):  
Ramu Dubey ◽  
Arvind Kumar ◽  
Pooja Gupta ◽  
Shubham Jayswal ◽  
Vishnu Narayan Mishra
Keyword(s):  
Special Class ◽  
Duality Theorems ◽  
Symmetric Duality

scholarly journals Nondifferentiable G-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1348 ◽  
Author(s):  
Ramu Dubey ◽  
Lakshmi Narayan Mishra ◽  
Luis Manuel Sánchez Ruiz
Keyword(s):  
Vector Optimization ◽  
Optimization Problem ◽  
Vector Optimization Problem ◽  
Second Order ◽  
Type Model ◽  
Dual Model ◽  
Duality Theorems ◽  
Converse Duality ◽  
Numerical Example ◽  
Primal Dual

In this article, a pair of nondifferentiable second-order symmetric fractional primal-dual model (G-Mond–Weir type model) in vector optimization problem is formulated over arbitrary cones. In addition, we construct a nontrivial numerical example, which helps to understand the existence of such type of functions. Finally, we prove weak, strong and converse duality theorems under aforesaid assumptions.

scholarly journals Consumer Movements and Value Regimes: Fighting Food Waste in Germany by Building Alternative Object Pathways

2019 ◽  
Vol 46 (3) ◽  
pp. 460-482 ◽  
Author(s):  
Johanna F Gollnhofer ◽  
Henri A Weijo ◽  
John W Schouten
Keyword(s):  
Food Waste ◽  
Higher Order ◽  
Food Sector ◽  
Consumer Movement ◽  
Market Governance ◽  
Movement Strategy ◽  
New Type ◽  
Consumer Movements ◽  
Retail Food

Abstract Consumer movements strive to change markets when those markets produce value outcomes that conflict with consumers’ higher-order values. Prior studies argue that consumer movements primarily seek to challenge these value outcomes by championing alternative higher-order values or by pressuring institutions to change market governance mechanisms. Building on and refining theorization on value regimes, this study illuminates a new type of consumer movement strategy where consumers collaborate to construct alternative object pathways. The study draws from ethnographic fieldwork in the German retail food sector and shows how building alternative object pathways allowed a consumer movement to mitigate the value regime’s excessive production of food waste. The revised value regime theorization offers a new and more holistic way of understanding and contextualizing how and where consumer movements mobilize for change. It also provides a new tool for understanding systemic value creation and the role of consumers in such processes.

Sign in / Sign up

Export Citation Format

Share Document