In this paper, a complex non- linear programming problem with the two parts (real and imaginary) is considered. The efficient and proper efficient solutions in terms of optimal solutions of related appropriate scalar optimization problems are characterized. Also, the Kuhn-Tuckers' conditions for efficiency and proper efficiency are derived. This paper is divided into two independently parts: The first provides the relationships between the optimal solutions of a complex single-objective optimization problem and solutions of two related real programming problems. The second (...) part is concerned with the theory of a multi-objective optimization in complex space. (shrink)

Diabetes mellitus (DM) is a colossal burden in global health, its prevalence increases steadily throughout the world. This systematic review explores the pathophysiology and epidemiology of diabetes, which describes the interactions that implicate that is the result of the play between genetic, environmental, and lifestyle factors in the development and progression of the disease. The review also describes a plethora of pharmacological treatments available to manage diabetes, with the oral agent, insulin regimens, and new approaches to therapy. Integrating the wisdom (...) of the best clinical guidelines, those are from American diabetes association (ADA), European association for the study of diabetes (EASD), and International Diabetes Federation (IDF). Since these reviews are consistent with normative standards for evidence-based recommendations of optimal care of diabetes. The review goes further to cover technological advances in the management of diabetes. They include Continuous Glucose Monitoring, advanced insulin delivery systems, and Artificial Pancreas Systems. Such technologies hold more promising routes to better glucose control and patient quality of life. All this comes along with challenges that their deployment and maintenance that run through economic, adherence issues, and unequal access to healthcare. The future research and innovation in the battle against DM will include the application of personalized medicine and the development of advanced digital health solutions. This article will become a treasure for health professionals, researchers, and policymakers who have dedicated themselves to battling the adversities of diabetes mellitus. (shrink)