New iterative scheme for fixed point results of weakly compatible maps in multiplicative GM-metric space via various contractions with applicationopen access
- Authors
- Gamal, Mohamed; Rasham, Tahair; Cholamjiak, Watcharaporn; Shi, Fu-Gui; Park, Choon kil
- Issue Date
- May-2022
- Publisher
- American Institute of Mathematical Sciences
- Keywords
- fixed point; multiplicative G(M)-metric space; point of coincidence; weakly compatible maps; Delta-implicit contractions
- Citation
- AIMS Mathematics, v.7, no.8, pp 13681 - 13703
- Pages
- 23
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS Mathematics
- Volume
- 7
- Number
- 8
- Start Page
- 13681
- End Page
- 13703
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/203631
- DOI
- 10.3934/math.2022754
- ISSN
- 2473-6988
2473-6988
- Abstract
- In this manuscript, we induced several vivid common fixed point theorems for four maps in the setting of complete multiplicative Gm-metric space via various contractive conditions such as Δ-implicit contractions. Some new definitions and results are introduced in multiplicative Gm-metric space.Moreover, illustrative examples are given to validate our obtained results and an application to a system of nonlinear integral equations are provided to show the novelty of our new results.
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