On strongly partial-quasi k-metric spaces

Author:

Wu Yaoqiang1

Affiliation:

1. School of Sciences and Arts, Suqian University, Suqian, China

Abstract

In this paper, we introduce the concepts of partial-quasi k-metric spaces and strongly partial- quasi k-metric spaces, and their relationship to k-metric spaces and partial-quasi metric spaces are studied. Furthermore, we obtain some results on fixed point theorems in strongly partial-quasi k-metric spaces.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference22 articles.

1. W. A. Wilson, On quasi-metric spaces, Amer. J. Math. 53 (1931), 675-684.

2. I. A. Bakhtin, The contraction mapping principle in quasimetric spaces, Funct. Anal. Unianowsk Gos. Ped. Inst. 30 (1989), 26-37.

3. S. Czerwik, Contraction mappings in b-matric spaces, Acta. Math. Inform. Univ. Ostraviensis 1 (1993), 5-11.

4. S. G. Matthews, Partial metric topology, Ann. New York Acad. Sci. 728 (1994), 183-197.

5. R. Heckmann, Approximation of metric spaces by partial metric spaces, Appl. Categ. Struct. 7 (1999), 71-83.

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