Degree Theory for Multivalued(S) Type Mappings and Fixed Point Theorems

Zhang Shi-sheng; Chen Yu-qing

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Zhang Shi-sheng, Chen Yu-qing. Degree Theory for Multivalued(S) Type Mappings and Fixed Point Theorems[J]. Applied Mathematics and Mechanics, 1990, 11(5): 409-421.

Citation:

Zhang Shi-sheng, Chen Yu-qing. Degree Theory for Multivalued(S) Type Mappings and Fixed Point Theorems[J]. Applied Mathematics and Mechanics, 1990, 11(5): 409-421.

Citation:

Zhang Shi-sheng, Chen Yu-qing. Degree Theory for Multivalued(S) Type Mappings and Fixed Point Theorems[J]. Applied Mathematics and Mechanics, 1990, 11(5): 409-421.

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Degree Theory for Multivalued(S) Type Mappings and Fixed Point Theorems

Department of Mathematics, Sichuan University, Chengdu

Received Date: 1989-03-25
Publish Date: 1990-05-15

Abstract

Abstract

The main purpose of this paper is devoted to generalizing the results of Browder[1,2]This paper consists of four parts. In the first part, we introduce the concepts of multivalued(S) and(S)₊, type mappings and the concepts of the limits of multivalued(S) and(S)₊ type mappings. These kinds of mappings contain many monotone type mappings, such as maximal monotone mapping, bounded pseudo-monotone mapping and bounded generalized pseudo-monotone mapping, as its special cases. In the second part we define the pseudo-degree for(S) type mapping and the degree for(S)₊ type mapping. These two kinds of degrees are all the generalizations of the degree defined by Browder^[1,2] As applications, we utilize the degree theory presented in part 2 to study the existence of solutions for the multivalued operator equations(see part 3) and to obtain some new fixed point theorems in part 4.

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References(11)

References

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