Hiperbolik Değerli Dislocated Metrik Uzaylar

Year 2021, Issue: 28, 1152 - 1158, 30.11.2021

Nilay Değirmen

https://doi.org/10.31590/ejosat.1013323

Abstract

Bu çalışmada, hiperbolik değerli dislocated metrik uzay kavramını sunduk ve Banach, Kannan ve Chatterjea tip daralmaları kullanarak böyle uzayların kendileri üzerinde tanımlı dönüşümler için bir sabit noktanın var ve tek olduğunu gösterdik. Ayrıca ana sonucumuzun uygulanabilirliğini ve kullanışlılığını ispatlamak için açıklayıcı bir örnek verdik.

Keywords

hiperbolik sayı, dislocated metrik uzay, sabit nokta, daralma dönüşümü

Hyperbolic Valued Dislocated Metric Spaces

Abstract

In this work, we introduce the concept of a hyperbolic valued dislocated metric space, and we show that a fixed point of self-mappings in such spaces is exist and unique by using Banach, Kannan and Chatterjea type contractions. Furthermore, we discuss an illustrative example to substantiate the applicability and usefulness of our main result.

Keywords

hyperbolic number, dislocated metric space, fixed point, contraction mapping

References

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