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The topological degree of A-proper mapping in the Menger PN-space (II)

Published online by Cambridge University Press:  17 April 2009

Zhu Chuanxi  and
Huang Xiaoqin
Zhu Chuanxi
Affiliation:
Institute of Mathematics, Nanchang University, Nanchang 330047, China e-mail: zhuchuanxi@sina.com
Huang Xiaoqin
Affiliation:
Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049, China e-mail: sjzhxq@163.com
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In the paper “The topological degree of A-proper mapping in the Menger PN-space (I)”, the new concept of A-proper topological degree has been given. Now, utilising the new concept, we give the corresponding definitions of convex A-proper, P*-compact and Pγ-compact in Menger PN-space. As an application of these new concepts, we prove the existence of solution for some equations.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 2 , April 2006 , pp. 169 - 173
Copyright
Copyright © Australian Mathematical Society 2006

References

[1]Chang, S.S., Fixed point theory and application (Chongqing press, Chongqing, 1984).Google Scholar
[2]Chang, S.S. and Chen, Y.Q., ‘Topological degree theory and fixed point theorems in PM-spaces’, Appl. Math. Mech. 10 (1989), 495–505.Google Scholar