FIXED POINT FOR QUASI-CONTRACTIONS IN METRIC SPACESENDOWED WITH A GRAPH
Publish Year: 1395
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
MATHEMATICS08_015
تاریخ نمایه سازی: 6 شهریور 1401
Abstract:
In the present work, we introduce G-quasi-contractions using directed graphs in metric spaces with a graphand we show that this contraction generalizes a large number of contractions. We then investigate the existenceof fixed points for G-quasi-contractions under two different conditions and discuss the main theorem.Finally, we list some consequences of our theorem where either the contractive condition is replaced witha stronger one or the underlying space is changed to a complete metric space or a complete cone metric space.
Authors
Kamal Fallahi
Department of Mathematics, Payame Noor University, I.R. of IRAN