Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (10): 953-958.

• Articles • Previous Articles     Next Articles

THE FIXED POINT AND EIGENELEMENT OF SUM AND PRODUCT ABOUT CONCAVE AND CONVEX OPERATORS

YanXin-li   

  1. Xi’an Institute of Metallurgy and Consruction Eng., Xi’an
  • Received:1987-06-21 Online:1988-10-18 Published:1988-10-18

Abstract: In this paper, we obtain the sufficient conditions under which there exists the fixed point of sum and product about α concave and -α convex operators in the positive cone of linear semi-order space, and the iterative procedure and error estimate can be given. The relation between eigenvalue and eigenelement will also be studied in this paper.

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals