New Versions of Some Results on Fixed Points in b-Metric Spaces

Zoran D. Mitrović; Abasalt Bodaghi; Ahmad Aloqaily; Nabil Mlaiki; Reny George

doi:10.3390/math11051118

New Versions of Some Results on Fixed Points in b-Metric Spaces

Zoran D. Mitrović, Abasalt Bodaghi, Ahmad Aloqaily, Nabil Mlaiki, Reny George

Mathematics

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

7 Scopus citations

Abstract

The main and the most important objective of this paper is to nominate some new versions of several well-known results about fixed-point theorems such as Caristi’s theorem, Pant et al.’s theorem and Karapınar et al.’s theorem in the case of b-metric spaces. We use a new technique provided by Miculescu and Mihail in order to prove our theorems. Some illustrative applications and examples are given to strengthen our new findings and the main results.

Original language	English
Article number	1118
Journal	Mathematics
Volume	11
Issue number	5
DOIs	https://doi.org/10.3390/math11051118
State	Published - Mar 2023

Keywords

b-metric
Caristi theorem
fixed point
iterative methods
k-continuous
orbitally continuous

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10.3390/math11051118

Cite this

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abstract = "The main and the most important objective of this paper is to nominate some new versions of several well-known results about fixed-point theorems such as Caristi{\textquoteright}s theorem, Pant et al.{\textquoteright}s theorem and Karapınar et al.{\textquoteright}s theorem in the case of b-metric spaces. We use a new technique provided by Miculescu and Mihail in order to prove our theorems. Some illustrative applications and examples are given to strengthen our new findings and the main results.",

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AU - Mitrović, Zoran D.

AU - Bodaghi, Abasalt

AU - Aloqaily, Ahmad

AU - Mlaiki, Nabil

AU - George, Reny

PY - 2023/3

Y1 - 2023/3

N2 - The main and the most important objective of this paper is to nominate some new versions of several well-known results about fixed-point theorems such as Caristi’s theorem, Pant et al.’s theorem and Karapınar et al.’s theorem in the case of b-metric spaces. We use a new technique provided by Miculescu and Mihail in order to prove our theorems. Some illustrative applications and examples are given to strengthen our new findings and the main results.

AB - The main and the most important objective of this paper is to nominate some new versions of several well-known results about fixed-point theorems such as Caristi’s theorem, Pant et al.’s theorem and Karapınar et al.’s theorem in the case of b-metric spaces. We use a new technique provided by Miculescu and Mihail in order to prove our theorems. Some illustrative applications and examples are given to strengthen our new findings and the main results.

KW - b-metric

KW - Caristi theorem

KW - fixed point

KW - iterative methods

KW - k-continuous

KW - orbitally continuous

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JF - Mathematics

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ER -

New Versions of Some Results on Fixed Points in b-Metric Spaces

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Keywords

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