Generalizations of Banach and Kannan Fixed point theorems in b_v(s) metric spaces

2018/01/28 by İbrahim Karahan, Ibrahim Karahan, Karahan, Ibrahim
Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #General Mathematics (math.GM) #math.GM

paper · pdf · doi:10.48550/arxiv.1802.00079

5 pages

arxiv created 2018/01/28 · openalex publication_date 2018/01/28 · arxiv updated 2018/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Generalizations of a metric space is one of the most important research areas in mathematics. In literature ,there are several generalized metric spaces. The latest generalized metric space is b_v(s) metric space which is introduced by Mitrovic and Radenovic in 2017. In this paper, we prove Kannan fixed point theorem and generalize Banach fixed point theorem for weakly contractive mappings in b_v(s) metric spaces. Our results extend and generalize some corresponding result.

Citations

• Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

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