Bipolar Multiplicative Metric Spaces and Fixed Point Theorems of Covariant and Contravariant Mappings

Moorthy, Ganesa; Siva, G.

doi:10.52547/maco.2.1.4

Cited by 3 publications

(1 citation statement)

References 7 publications

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“…Additionally, this updated notion of bipolar metric space leads to the development and progress of fixed point results in fixed point theory. However, a lot of decisive work has been investigated the existence for fixed points of self-and multivalued mappings in the setting of bipolar metric space (see [14][15][16][17][18][19][20][21][22][23][24]) and references therein). Very recently, Rawat et al [25] unified the above two innovative concepts, namely F-metric space and bipolar metric space, and introduced the concept of F-bipolar metric space and proved the Banach contraction principle in this newly introduced metric space.…”

Section: Introductionmentioning

confidence: 99%

Fixed Point Results in F-Bipolar Metric Spaces with Applications

Alamri

2023

Mathematics

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The aim of this research article is to obtain fixed point results in the context of F-bipolar metric spaces. The obtained results extend some fixed point theorems in the existing literature. We also provide a non-trivial example to validate our claims. The existence and uniqueness of the solution of the integral equation are proved as applications of our leading results. Furthermore, the existence of the unique solution in homotopy theory is also investigated.

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Section: Introductionmentioning

confidence: 99%

Fixed Point Results in F-Bipolar Metric Spaces with Applications

Alamri

2023

Mathematics

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Fixed points of multiplicative closed graph operators on b-multiplicative metric spaces

G. Siva

2024

Malaya J. Mat.

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This article discusses fixed point iterations of some multiplicative contraction mappings with variations in b-multiplicative metric space domains. A map that satisfies the multiplicative contraction condition has been proposed for an increasing sequence of subsets of a b-multiplicative metric space, where one element of the sequence is mapped into the following member of the sequence. Additionally, several fixed point conclusions are established for various multiplicative contraction mappings with multiplicative closed graphs.

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Fixed point theorems for generalized contractions in $ \mathfrak{F} $-bipolar metric spaces with applications

Albargi

2023

MATH

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<abstract><p>The major objectives of this research article are to introduce the notion of ($ \alpha, \psi $)-contraction in the context of $ \mathfrak{F} $-bipolar metric space and establish fixed point theorems. In this way, coupled fixed point results are obtained by applying the leading theorems. Some non-trivial examples are also furnished to show the validity of established results. As applications of the main result, we investigate the solution of an integral equation and a homotopy problem.</p></abstract>

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Bipolar Multiplicative Metric Spaces and Fixed Point Theorems of Covariant and Contravariant Mappings

Cited by 3 publications

References 7 publications

Fixed Point Results in F-Bipolar Metric Spaces with Applications

Fixed Point Results in F-Bipolar Metric Spaces with Applications

Fixed points of multiplicative closed graph operators on b-multiplicative metric spaces

Fixed point theorems for generalized contractions in $ \mathfrak{F} $-bipolar metric spaces with applications

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