Strong <i>C</i><sup>*</sup>-Algebra-Valued Metric Space and a Fixed Point Theorem

MA Zhen-hua; SHEN Cong-cong; ZHANG Xin

doi:10.15918/j.tbit1001-0645.2018.01.019

MA Zhen-hua, SHEN Cong-cong, ZHANG Xin. Strong C*-Algebra-Valued Metric Space and a Fixed Point TheoremJ. Transactions of Beijing institute of Technology, 2018, 38(1): 108-110. DOI: 10.15918/j.tbit1001-0645.2018.01.019

Citation:

MA Zhen-hua, SHEN Cong-cong, ZHANG Xin. Strong C*-Algebra-Valued Metric Space and a Fixed Point TheoremJ. Transactions of Beijing institute of Technology, 2018, 38(1): 108-110. DOI: 10.15918/j.tbit1001-0645.2018.01.019

Citation:

MA Zhen-hua, SHEN Cong-cong, ZHANG Xin. Strong C*-Algebra-Valued Metric Space and a Fixed Point TheoremJ. Transactions of Beijing institute of Technology, 2018, 38(1): 108-110. DOI: 10.15918/j.tbit1001-0645.2018.01.019

Strong C^*-Algebra-Valued Metric Space and a Fixed Point Theorem

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Based on the concept of C^*-algebra-valued metric spaces, the definition of strong C^*-algebra-valued b-metric spaces was introduced, and furthermore, a corresponding fixed point theorem was proven. As an application, the existence and uniqueness of a kind of operator equation was presented.

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Strong C*-Algebra-Valued Metric Space and a Fixed Point Theorem

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Strong C^*-Algebra-Valued Metric Space and a Fixed Point Theorem