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Probabilistic contractor couple and solutions for a system of nonlinear equations in non-archimedean menger probabilistic normed spaces

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Abstract

The Purpose of this paper is to introduce the concept of probabilistic contractor couple in non-Archimedean probabilistic normed spaces and to study the existence and uniqueness of solutions for a system of nonlinear operator equations with probabilistic contractor couples in non-Archimedean probabilistic normed spaces. The results presented in this paper improve and extend the corresponding results in [1–5].

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References

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Project supported by the National Natural Science Foundation of China

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Shi-sheng, Z., Yong-cheng, P. Probabilistic contractor couple and solutions for a system of nonlinear equations in non-archimedean menger probabilistic normed spaces. Appl Math Mech 12, 1031–1038 (1991). https://doi.org/10.1007/BF02457485

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  • DOI: https://doi.org/10.1007/BF02457485

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