Iterated function systems （IFS） were introduced by Hutchinson in 1981 as a natural generalization of the well-known Banach contraction principle. In 2010, D. R. Sahu and A. Chakraborty introduced K-Iterated Function...Iterated function systems （IFS） were introduced by Hutchinson in 1981 as a natural generalization of the well-known Banach contraction principle. In 2010, D. R. Sahu and A. Chakraborty introduced K-Iterated Function System using Kannan mapping which would cover a larger range of mappings. In this paper, following Hutchinson, D. R. Sahu and A. Chakraborty, we present some new iterated function systems by using the so-called generalized contractive mappings, which will also cover a large range of mappings. Our purpose is to prove the existence and uniqueness of attractors for such class of iterated function systems by virtue of a Banach-like fixed point theorem concerning generalized contractive mappings.展开更多
From the perspective of civil subject theory,law of value,comparative law and history of laws,the thesis expounds that the contract on the transfer of the contractual right of rural lands is in nature a civil contract...From the perspective of civil subject theory,law of value,comparative law and history of laws,the thesis expounds that the contract on the transfer of the contractual right of rural lands is in nature a civil contract instead of an administrative one.Then it explores the defects in the contract from the viewpoint of legal value goal,contract law and legal sociology,that is,the relevant provisions in Rural Land Contract Law and Explanations of Supreme People's Court about the Issues concerning the Laws Applicable to the Trial of Cases of Disputes over Rural Land Contracting go against the principle of free contracting and run counter to the legal value goal of justice,so they do not achieve good implementing effect.Finally,the thesis demonstrates and makes some practical legislative proposals to perfect the contract system for circulation of the right to operate constructed rural lands,aiming at improving the circulation rate through perfecting the contract of the right to rural land contractual management,solving the disputes in rural lands circulation and safeguarding the legitimate rights of the farmers.展开更多
Theorems of iteration g-contractive sequential composite mapping and periodic mapping in Banach or probabilistic Bannach space are proved, which allow some contraction ratios of the sequence of mapping might be larger...Theorems of iteration g-contractive sequential composite mapping and periodic mapping in Banach or probabilistic Bannach space are proved, which allow some contraction ratios of the sequence of mapping might be larger than or equal to 1, and are more general than the Banach contraction mapping theorem. Application to the proof of existence of solutions of cycling coupled nonlinear differential equations arising from prey-predator system and A&H stock prices are given.展开更多
基金Partially supported by National Natural Science Foundation of China (No. 10961003)
文摘Iterated function systems （IFS） were introduced by Hutchinson in 1981 as a natural generalization of the well-known Banach contraction principle. In 2010, D. R. Sahu and A. Chakraborty introduced K-Iterated Function System using Kannan mapping which would cover a larger range of mappings. In this paper, following Hutchinson, D. R. Sahu and A. Chakraborty, we present some new iterated function systems by using the so-called generalized contractive mappings, which will also cover a large range of mappings. Our purpose is to prove the existence and uniqueness of attractors for such class of iterated function systems by virtue of a Banach-like fixed point theorem concerning generalized contractive mappings.
基金Supported by the Research Project of Humanities and Social Sciencesat Universities(08KN020) launched by Guizhou Provincial Education Department
文摘From the perspective of civil subject theory,law of value,comparative law and history of laws,the thesis expounds that the contract on the transfer of the contractual right of rural lands is in nature a civil contract instead of an administrative one.Then it explores the defects in the contract from the viewpoint of legal value goal,contract law and legal sociology,that is,the relevant provisions in Rural Land Contract Law and Explanations of Supreme People's Court about the Issues concerning the Laws Applicable to the Trial of Cases of Disputes over Rural Land Contracting go against the principle of free contracting and run counter to the legal value goal of justice,so they do not achieve good implementing effect.Finally,the thesis demonstrates and makes some practical legislative proposals to perfect the contract system for circulation of the right to operate constructed rural lands,aiming at improving the circulation rate through perfecting the contract of the right to rural land contractual management,solving the disputes in rural lands circulation and safeguarding the legitimate rights of the farmers.
文摘Theorems of iteration g-contractive sequential composite mapping and periodic mapping in Banach or probabilistic Bannach space are proved, which allow some contraction ratios of the sequence of mapping might be larger than or equal to 1, and are more general than the Banach contraction mapping theorem. Application to the proof of existence of solutions of cycling coupled nonlinear differential equations arising from prey-predator system and A&H stock prices are given.
