ELXED POINT THEOREM OF COMPOSITION g-CONTRACTION MAPPING AND ITS APPLICATIONS

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (10): 1132-1139.

ELXED POINT THEOREM OF COMPOSITION g-CONTRACTION MAPPING AND ITS APPLICATIONS

云天铨

Department of Mechanics, South China University of Technology, Guangzhou 510641, P. R. China

收稿日期:2000-05-26 修回日期:2001-05-16 出版日期:2001-10-18 发布日期:2001-10-18

ELXED POINT THEOREM OF COMPOSITION g-CONTRACTION MAPPING AND ITS APPLICATIONS

YUN Tian-quan

Department of Mechanics, South China University of Technology, Guangzhou 510641, P. R. China

Received:2000-05-26 Revised:2001-05-16 Online:2001-10-18 Published:2001-10-18

摘要/Abstract

摘要： Any composition sequential mapping, periodic composition mapping of a complete non-empty metric space Minto M with geometric mean contraction ratio less than 1(simplifying as "g-contraction mapping") has a unique fixed point in M. Applications of the theorem to the proof of existence and uniqueness of the solutions of a set of non-linear differential equations and a coupled integral equations of symmetric bending of shallow shell of revolution are given.

中图分类号:

O177.91
O343

云天铨. ELXED POINT THEOREM OF COMPOSITION g-CONTRACTION MAPPING AND ITS APPLICATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(10): 1132-1139.

YUN Tian-quan. ELXED POINT THEOREM OF COMPOSITION g-CONTRACTION MAPPING AND ITS APPLICATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(10): 1132-1139.

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ELXED POINT THEOREM OF COMPOSITION g-CONTRACTION MAPPING AND ITS APPLICATIONS

ELXED POINT THEOREM OF COMPOSITION g-CONTRACTION MAPPING AND ITS APPLICATIONS

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