一类积分Altman型映象不动点定理及应用

doi:10.16088/j.issn.1001-6600.2020.01.008

Abstract

Abstract: The purpose of this paper is to study the existence of fixed point theorems for a class new of integral Altman type mapping. By using the compatible conditions of self-mapping pair in non-Archimedean Menger probabilistic metric spaces, common fixed point theorems for integral Altman type mapping are established in nonarchimedean Menger probabilistic metric spaces. Furthermore, the existence and uniqueness of solutions are also discussed for a class of systems of functional equations arising in dynamic programming, which improve and extend some known results.

Key words: non-Archimedeam Menger space, integral Altman type mapping, dynamic programming, functional equations, common solutions

CLC Number:

O177.91

NIE Hui, ZHANG Shuyi. Common Fixed Point Theorems for a Class of Integral Altman Type Mapping with Applications[J].Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(1): 60-69.

References

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Common Fixed Point Theorems for a Class of Integral Altman Type Mapping with Applications

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