This paper deals with the optimality conditions and dual theory of multi-objective programming problems involving generalized convexity. New classes of generalized type-I functions are introduced for arcwise connected...This paper deals with the optimality conditions and dual theory of multi-objective programming problems involving generalized convexity. New classes of generalized type-I functions are introduced for arcwise connected functions, and examples are given to show the existence of these functions. By utilizing the new concepts, several sufficient optimality conditions and Mond-Weir type duality results are proposed for non-differentiable multi-objective programming problem.展开更多
Trajectory prediction for the movement of a given object is one of the main tasks for the classical mechanics but in orthodox quantum mechanics,this task was announced to be an impossibility for the(sub-)atomic partic...Trajectory prediction for the movement of a given object is one of the main tasks for the classical mechanics but in orthodox quantum mechanics,this task was announced to be an impossibility for the(sub-)atomic particles by famous Heisenberg’s uncertainty principle.Of course,such an epistemology is against the philosophical beliefs of many scientists and currently another version of trajectory quantum mechanics known as Bohmian mechanics also exists.In order to unify the conflicts among classical mechanics,quantum mechanics,and relativity theory,a new general system theory(NGST)was proposed by the present author and his colleagues.The purpose of this paper is to demonstrate that it is not the scale that matters but the living nature whether the object is lifeless or living.By using the psychic force concept introduced in NGST,Newton’s second law is applied to analyze five different types of objects.They are a stone,a coin,a cat,a person,and an electron.It is found that the classical mechanics has provided adequate room to explain the various newly observed phenomena for orthodox quantum mechanics and relativity theory and for human beings various parapsychological phenomena can also be explained by classical mechanics.Therefore,it is concluded that generalization of classical mechanics is adequate and no need to develop revolutionary quantum mechanics and relativity theory.展开更多
文摘This paper deals with the optimality conditions and dual theory of multi-objective programming problems involving generalized convexity. New classes of generalized type-I functions are introduced for arcwise connected functions, and examples are given to show the existence of these functions. By utilizing the new concepts, several sufficient optimality conditions and Mond-Weir type duality results are proposed for non-differentiable multi-objective programming problem.
基金This work was supported by the“Construction of a Leading Innovation Team”project by the Hangzhou Municipal Government,and the startup funding of New-Joined PI of Westlake University with grant number 041030150118.
文摘Trajectory prediction for the movement of a given object is one of the main tasks for the classical mechanics but in orthodox quantum mechanics,this task was announced to be an impossibility for the(sub-)atomic particles by famous Heisenberg’s uncertainty principle.Of course,such an epistemology is against the philosophical beliefs of many scientists and currently another version of trajectory quantum mechanics known as Bohmian mechanics also exists.In order to unify the conflicts among classical mechanics,quantum mechanics,and relativity theory,a new general system theory(NGST)was proposed by the present author and his colleagues.The purpose of this paper is to demonstrate that it is not the scale that matters but the living nature whether the object is lifeless or living.By using the psychic force concept introduced in NGST,Newton’s second law is applied to analyze five different types of objects.They are a stone,a coin,a cat,a person,and an electron.It is found that the classical mechanics has provided adequate room to explain the various newly observed phenomena for orthodox quantum mechanics and relativity theory and for human beings various parapsychological phenomena can also be explained by classical mechanics.Therefore,it is concluded that generalization of classical mechanics is adequate and no need to develop revolutionary quantum mechanics and relativity theory.
