A fixed point theorem on soft G-metric spaces

Volume 9, Issue 3, pp 885--894 http://dx.doi.org/10.22436/jnsa.009.03.18

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Authors

Aysegul Caksu Guler - Faculty of Science, Department of Mathematics, Ege University, 35100- Izmir, Turkey. Esra Dalan Yildirim - Faculty of Science and Letters, Department of Mathematics, Yaşar University, 35100- Izmir, Turkey. Oya Bedre Ozbakir - Faculty of Science, Department of Mathematics, Ege University, 35100- Izmir, Turkey.

Abstract

We introduce soft G-metric spaces via soft element. Then, we obtain soft convergence and soft continuity by using soft G-metric. Also, we prove a fixed point theorem for mappings satisfying sufficient conditions in soft G-metric spaces.

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Keywords

• Soft set
• soft metric space
• generalized metric space
• soft G-metric space
• fixed point.

MSC

•  06D72
•  54A05
•  47H10

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