By using Fort theorem the generic stability result for the system of generalized vector equilibrium problems is established. Further, by proving the existence and connectivity of minimal essential set the existence re...By using Fort theorem the generic stability result for the system of generalized vector equilibrium problems is established. Further, by proving the existence and connectivity of minimal essential set the existence result of essential components in the solution set is derived.展开更多
Islam, as a religion, has always been essentially and primarily propagated through Da＇awah （proselytisation） and it would continue to be so up to the end of human existence on this planet. Due to its universal natu...Islam, as a religion, has always been essentially and primarily propagated through Da＇awah （proselytisation） and it would continue to be so up to the end of human existence on this planet. Due to its universal nature, appeal, and guidance, Islam would have to be continuously propagated through proselytisation to all the nooks and crannies of the world particularly in this millennium when more and more people are increasingly becoming engrossed into the worship of democracy. Hence, the need for a paper in which the essential components of Da＇awah lslaamiyyah （Islamic proselytisation）, would be expatiated so that Islamic workers around the globe will rise up to the challenge. Apart from the definition of Da＇awah, the paper will discuss the four foundations of Da＇awah, namely： Ad-Da＇awah ilaa Allah （inviting people to God）, Ad-Daa＇iyah （the proselytiser, the caller, the inviter, or the person who invites people to God）, AI-Mad＇uww [the invitee（s） or person（s） that is/are being invited to God], the AI-Wusao-il wal-Asaaleeb （the means and the methods of invitation to God）, and conclusion.展开更多
The purpose of this paper is to give a further study on the stability of production economies. The new results were given by considering the 'set-valued' stability of equilibria. It is proved that there exists...The purpose of this paper is to give a further study on the stability of production economies. The new results were given by considering the 'set-valued' stability of equilibria. It is proved that there exists at least one minimal essential set of equilibrium points of the economy and every minimal essential set is connected. Based on these results, it is easy to prove that there is at least one essential component of the set of equilibrium points.展开更多
Under the premise of infinitely many pure strategies, by defining the new LP* metric, striking an equivalence of topology and weak* topology, we prove that the existence of the essential component.
Characterization of essential stability of minimum solutions for a class of optimization problems with boundedness and lower pseudocontinuity on a compact metric space is given. It shows that any optimization problem ...Characterization of essential stability of minimum solutions for a class of optimization problems with boundedness and lower pseudocontinuity on a compact metric space is given. It shows that any optimization problem considered here has one essential component(resp. one essential minimum solution) if and only if its minimum solution set is connected(resp. singleton) and that those optimization problems which have a unique minimum solution form a residual set(however, which need not to be dense).展开更多
基金Supported by NSF of Chongqing and Science Foundations of Chongqing Jia1otong University
文摘By using Fort theorem the generic stability result for the system of generalized vector equilibrium problems is established. Further, by proving the existence and connectivity of minimal essential set the existence result of essential components in the solution set is derived.
文摘Islam, as a religion, has always been essentially and primarily propagated through Da＇awah （proselytisation） and it would continue to be so up to the end of human existence on this planet. Due to its universal nature, appeal, and guidance, Islam would have to be continuously propagated through proselytisation to all the nooks and crannies of the world particularly in this millennium when more and more people are increasingly becoming engrossed into the worship of democracy. Hence, the need for a paper in which the essential components of Da＇awah lslaamiyyah （Islamic proselytisation）, would be expatiated so that Islamic workers around the globe will rise up to the challenge. Apart from the definition of Da＇awah, the paper will discuss the four foundations of Da＇awah, namely： Ad-Da＇awah ilaa Allah （inviting people to God）, Ad-Daa＇iyah （the proselytiser, the caller, the inviter, or the person who invites people to God）, AI-Mad＇uww [the invitee（s） or person（s） that is/are being invited to God], the AI-Wusao-il wal-Asaaleeb （the means and the methods of invitation to God）, and conclusion.
文摘The purpose of this paper is to give a further study on the stability of production economies. The new results were given by considering the 'set-valued' stability of equilibria. It is proved that there exists at least one minimal essential set of equilibrium points of the economy and every minimal essential set is connected. Based on these results, it is easy to prove that there is at least one essential component of the set of equilibrium points.
文摘Under the premise of infinitely many pure strategies, by defining the new LP* metric, striking an equivalence of topology and weak* topology, we prove that the existence of the essential component.
基金supported by National Natural Science Foundation of China under Grants Nos.11161011and 11161015
文摘Characterization of essential stability of minimum solutions for a class of optimization problems with boundedness and lower pseudocontinuity on a compact metric space is given. It shows that any optimization problem considered here has one essential component(resp. one essential minimum solution) if and only if its minimum solution set is connected(resp. singleton) and that those optimization problems which have a unique minimum solution form a residual set(however, which need not to be dense).
