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Some results in cone metric spaces with applications in homotopy theoryopen access
- Issue Date
- May-2020
- Publisher
- DE GRUYTER POLAND SP Z O O
- Keywords
- fixed point; implicit relation; cone metric space; contraction
- Citation
- OPEN MATHEMATICS, v.18, no.1, pp.295 - 306
- Indexed
- SCIE
SCOPUS
- Journal Title
- OPEN MATHEMATICS
- Volume
- 18
- Number
- 1
- Start Page
- 295
- End Page
- 306
- ISSN
- 2391-5455
- Abstract
- The self-mappings satisfying implicit relations were introduced in a previous study [Popa, Fixed point theorems for implicit contractive mappings, Stud. Cerc. St. Ser. Mat. Univ. Bacau 7 (1997), 129-133]. In this study, we introduce self-operators satisfying an ordered implicit relation and hence obtain their fixed points in the cone metric space under some additional conditions. We obtain a homotopy result as an application.
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