Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (8): 727-736.

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POSITIVE SOLUTION OF A CLASS OF EQUATIONS INVOLVING NONCOMPACT MAPPINGS

Lan Kun-quan, Ding Xie-ping   

  1. Sichuan Normal University, Chengdu
  • Received:1987-06-12 Online:1988-08-18 Published:1988-08-18

Abstract: In this paper, we define a generalized relative degree for A-proper mappings from a relative open subset of a Banach space into another Banach space and introduce the concepts of generalized P-compact and P1-compact mappings. Next, we show several existence theorems of positive solutions for the equations involving these mappings. Our theorems improve and extend some recent results.

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