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On Fixed Points in the Setting of $C^*$-Algebra-Valued Controlled $F_c$-Metric Type Spaces

General Mathematics 2019-10-02 v1

Abstract

In the present article, we first examine the conception of C*-algebra-valued controlled Fc-metric type spaces as a generalization of F-cone metric spaces over banach algebra. Further, we prove some fixed point theorem with different contractive conditions in the framework of C*-algebra-valued controlled Fc-metric type spaces. Secondly, we furnish an example by means of the acquired result.

Keywords

Cite

@article{arxiv.1910.00414,
  title  = {On Fixed Points in the Setting of $C^*$-Algebra-Valued Controlled $F_c$-Metric Type Spaces},
  author = {G. Kalpana and Z. Sumaiya Tasneem},
  journal= {arXiv preprint arXiv:1910.00414},
  year   = {2019}
}

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10 pages