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Fixed point theorems in probabilistic inner product spaces

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Abstract

The purpose of this paper is to introduce a new modifying definition for probabilistic inner product space, and to establish several new fixed point theorems for mappings on such kind of spaces. As an example of applications, we utilize the results of this paper to study the existence and uniqueness of solution of Uryson's integral equation in IV.

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References

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu

    Zhang Shi-sheng

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  1. Zhang Shi-sheng
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Communicated by Zhou Mo-ren.

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Shi-sheng, Z. Fixed point theorems in probabilistic inner product spaces. Appl Math Mech 6, 67–74 (1985). https://doi.org/10.1007/BF01895684

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  • DOI: https://doi.org/10.1007/BF01895684

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