• East Asian mathematical journal
• /
• v.31 no.3
• /
• pp.345-349
• /
• 2015

In this paper, we consider a fractional robust optimization problem (FP) and give necessary optimality theorems for (FP). Establishing a nonfractional optimization problem (NFP) equivalent to (FP), we formulate a Mond-Weir type dual problem for (FP) and prove duality theorems for (FP).

• Journal of applied mathematics & informatics
• /
• v.28 no.5_6
• /
• pp.1527-1534
• /
• 2010

In this paper, we consider nonsmooth optimization problem of which objective and constraint functions are locally Lipschitz. We establish sufficient optimality conditions and duality results for nonsmooth vector optimization problem given under nearly strict invexity and near invexity-infineness assumptions.

• Journal of applied mathematics & informatics
• /
• v.28 no.5_6
• /
• pp.1535-1544
• /
• 2010

Sufficient optimality conditions for a class of generalized non-differentiable fractional optimization programming problems are established. Moreover, we prove the weak and strong duality theorems under (V, $\rho$)-invexity assumption.

• East Asian mathematical journal
• /
• v.35 no.3
• /
• pp.289-296
• /
• 2019

We establish necessary and sufficient optimality conditions for a nonsmooth fractional robust optimization programming problems. Moreover, we prove the weak and strong duality theorems under (V, ${\rho}$)-invexity assumption.

• Kyungpook Mathematical Journal
• /
• v.51 no.4
• /
• pp.353-364
• /
• 2011

Duality in the optimal harvesting for a nonlinear age-spatial structured population dynamic model is studied in the framework of optimal control problem. In this paper the duality theory that displays the conjugacy of the primal problem is established and an application is given. Duality theory plays an important role in both optimization theory and methodology and the results may be applied to a realistic biological system on the point of optimal harvesting.

• Journal of Educational Research in Mathematics
• /
• v.12 no.4
• /
• pp.457-472
• /
• 2002

In this paper, we deal with the algebraic thinking from the perspective of ‘process’ and ‘object’ aspects. Generally, mathematical concepts have come from the concrete process. We consider the origin of algebra as the arithmetic calculations. Also, the concept of school arithmetic is beginning from actions or procedures. However, in order to develop the alge- braic thinking and to apply this thinking, we have to see the history of algebraic thinking, and find this duality. Next we investigate various researches relating to the ‘process-object duality’. Theses studies suppose that the concept formation and thinking process should be stared from the process-object duality. Finally, we reinterprete many difficulties in algebra - equals sign, variables, algebraic expressions, and linear equations, the principle of permanence of form- from the perspective of the process-object duality.

• The Journal of Asian Finance, Economics and Business
• /
• v.9 no.10
• /
• pp.85-96
• /
• 2022

CEO duality and its impact on firm performance represent one of the most contentious issues in both academia and business. This study, therefore, aims to examine the moderating role of CEO duality in the relationship between intellectual capital Efficiency (human, structural, relational, Capital Employed, and Innovation) and firm performance (earnings per share and Tobin's Q) among Jordanian companies. The study sample consists of services listed companies on Amman Stock Exchange. The study used panel data for the period 2014-2018 with a sample size of 230 observations. SPSS software was used to analyze the collected data. The regression results indicate a significant relationship between, IC and firm performance. When CEO Duality is incorporated into the model as a moderator, there is an increase in the R² by 7.9%. The findings from this study expand the theoretical underpinning of corporate governance research by identifying the performance implications of CEO duality within the Jordanian context. It also contributes significantly to the literature review about the current status of the practices taken in the intellectual capital components efficiency among companies listed on the Amman Stock Exchange. Findings from this study also provide contributions to the concerned policymakers such as the Ministry of Finance, Securities Commission, and Amman Stock Exchange in Jordan, to improve the current policies related to intellectual capital efficiency.

• The Journal of the Korea Contents Association
• /
• v.12 no.12
• /
• pp.146-155
• /
• 2012

This study made an attempt to apply and meaningful research of the analysis of the scene with the actual creative work about the contradictory structure and the love of duality appeared in the Shakespeare's "Romeo and Juliet". The researcher set up the meaning of versus (對) between the contradictory structure and the duality of love. So I analyzed the duality of love appeared on the creative performance named "Romiet & Julio zwei Versus". With the Laban's behavior analysis, the analyzing instruments were separated into four parts as the body, the effort, the space and the shape. As a result of the analyzing, the duality of love in the original work was the expression of the artist's pluralistic vision, and dramatic structure of homogeneity rather than the paradoxical contrast. After analyzing a creative work, the duality of love has been proven as an important factor with ultimately a new dimension of absolute balance.

• Journal of applied mathematics & informatics
• /
• v.17 no.1_2_3
• /
• pp.433-455
• /
• 2005

Fritz John, and Karush-Kuhn-Tucker type optimality conditions for a constrained variational problem involving higher order derivatives are obtained. As an application of these Karush-Kuhn-Tucker type optimality conditions, Wolfe and Mond-Weir type duals are formulated, and various duality relationships between the primal problem and each of the duals are established under invexity and generalized invexity. It is also shown that our results can be viewed as dynamic generalizations of those of the mathematical programming already reported in the literature.

• Journal of applied mathematics & informatics
• /
• v.32 no.1_2
• /
• pp.99-111
• /
• 2014

In this paper, we have taken step in the direction to establish weak, strong and strict converse duality theorems for three types of dual models related to multiojective fractional programming problems involving ($H_p$, r)-invex functions.