Refinement on fixed point results in metric and b-metric spaces

Arslan Hojat Ansari Komachali; Yaé Ulrich Gaba; Maggie Aphane; Isa Yildirim

doi:10.2298/FIL2322581A

Refinement on fixed point results in metric and b-metric spaces

Arslan Hojat Ansari Komachali, Yaé Ulrich Gaba^*, Maggie Aphane, Isa Yildirim

^*Corresponding author for this work

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this manuscript, we introduce some conditions for a sequence to be Cauchy sequence and b-Cauchy sequence in metric spaces and b-metric spaces. After, some fixed point results are obtained regarding them in such spaces. Also, we give two examples to show the usability of our results.

Original language	English
Pages (from-to)	7581-7588
Number of pages	8
Journal	Filomat
Volume	37
Issue number	22
DOIs	https://doi.org/10.2298/FIL2322581A
Publication status	Published - 2023

Keywords

Fixed point
Picard sequence
b-Cauchy sequence
b-metric space

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10.2298/FIL2322581A

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title = "Refinement on fixed point results in metric and b-metric spaces",

abstract = "In this manuscript, we introduce some conditions for a sequence to be Cauchy sequence and b-Cauchy sequence in metric spaces and b-metric spaces. After, some fixed point results are obtained regarding them in such spaces. Also, we give two examples to show the usability of our results.",

keywords = "Fixed point, Picard sequence, b-Cauchy sequence, b-metric space",

author = "Komachali, {Arslan Hojat Ansari} and Gaba, {Ya{\'e} Ulrich} and Maggie Aphane and Isa Yildirim",

year = "2023",

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T1 - Refinement on fixed point results in metric and b-metric spaces

AU - Komachali, Arslan Hojat Ansari

AU - Gaba, Yaé Ulrich

AU - Aphane, Maggie

AU - Yildirim, Isa

PY - 2023

Y1 - 2023

N2 - In this manuscript, we introduce some conditions for a sequence to be Cauchy sequence and b-Cauchy sequence in metric spaces and b-metric spaces. After, some fixed point results are obtained regarding them in such spaces. Also, we give two examples to show the usability of our results.

AB - In this manuscript, we introduce some conditions for a sequence to be Cauchy sequence and b-Cauchy sequence in metric spaces and b-metric spaces. After, some fixed point results are obtained regarding them in such spaces. Also, we give two examples to show the usability of our results.

KW - Fixed point

KW - Picard sequence

KW - b-Cauchy sequence

KW - b-metric space

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U2 - 10.2298/FIL2322581A

DO - 10.2298/FIL2322581A

M3 - Article

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SN - 0354-5180

VL - 37

SP - 7581

EP - 7588

JO - Filomat

JF - Filomat

IS - 22

ER -

Refinement on fixed point results in metric and b-metric spaces

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Keywords

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