(α − ψ) Meir–Keeler Contractions in Bipolar Metric Spaces

Manoj Kumar; Pankaj Kumar; Rajagopalan Ramaswamy; Ola A.Ashour Abdelnaby; Amr Elsonbaty; Stojan Radenović

doi:10.3390/math11061310

(α − ψ) Meir–Keeler Contractions in Bipolar Metric Spaces

Manoj Kumar
, Pankaj Kumar
, Rajagopalan Ramaswamy
, Ola A.Ashour Abdelnaby
, Amr Elsonbaty
, Stojan Radenović

Mathematics

Baba Mastnath University
Mansoura University
University of Belgrade

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

5 Scopus citations

Abstract

In this paper, we introduce the new notion of contravariant (Formula presented.) Meir–Keeler contractive mappings by defining (Formula presented.) -orbital admissible mappings and covariant Meir–Keeler contraction in bipolar metric spaces. We prove fixed point theorems for these contractions and also provide some corollaries of main results. An example is also be given in support of our main result. In the end, we also solve an integral equation using our result.

Original language	English
Article number	1310
Journal	Mathematics
Volume	11
Issue number	6
DOIs	https://doi.org/10.3390/math11061310
State	Published - Mar 2023

Keywords

(α − ψ) Meir–Keeler contractive mappings
bipolar metric space
covariant and contravariant mappings
fixed point

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10.3390/math11061310

Cite this

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title = "(α − ψ) Meir–Keeler Contractions in Bipolar Metric Spaces",

abstract = "In this paper, we introduce the new notion of contravariant (Formula presented.) Meir–Keeler contractive mappings by defining (Formula presented.) -orbital admissible mappings and covariant Meir–Keeler contraction in bipolar metric spaces. We prove fixed point theorems for these contractions and also provide some corollaries of main results. An example is also be given in support of our main result. In the end, we also solve an integral equation using our result.",

keywords = "(α − ψ) Meir–Keeler contractive mappings, bipolar metric space, covariant and contravariant mappings, fixed point",

author = "Manoj Kumar and Pankaj Kumar and Rajagopalan Ramaswamy and Abdelnaby, \{Ola A.Ashour\} and Amr Elsonbaty and Stojan Radenovi{\'c}",

note = "Publisher Copyright: {\textcopyright} 2023 by the authors.",

year = "2023",

month = mar,

doi = "10.3390/math11061310",

language = "English",

volume = "11",

journal = "Mathematics",

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T1 - (α − ψ) Meir–Keeler Contractions in Bipolar Metric Spaces

AU - Kumar, Manoj

AU - Kumar, Pankaj

AU - Ramaswamy, Rajagopalan

AU - Abdelnaby, Ola A.Ashour

AU - Elsonbaty, Amr

AU - Radenović, Stojan

PY - 2023/3

Y1 - 2023/3

N2 - In this paper, we introduce the new notion of contravariant (Formula presented.) Meir–Keeler contractive mappings by defining (Formula presented.) -orbital admissible mappings and covariant Meir–Keeler contraction in bipolar metric spaces. We prove fixed point theorems for these contractions and also provide some corollaries of main results. An example is also be given in support of our main result. In the end, we also solve an integral equation using our result.

AB - In this paper, we introduce the new notion of contravariant (Formula presented.) Meir–Keeler contractive mappings by defining (Formula presented.) -orbital admissible mappings and covariant Meir–Keeler contraction in bipolar metric spaces. We prove fixed point theorems for these contractions and also provide some corollaries of main results. An example is also be given in support of our main result. In the end, we also solve an integral equation using our result.

KW - (α − ψ) Meir–Keeler contractive mappings

KW - bipolar metric space

KW - covariant and contravariant mappings

KW - fixed point

UR - https://www.scopus.com/pages/publications/85151439692

U2 - 10.3390/math11061310

DO - 10.3390/math11061310

M3 - Article

AN - SCOPUS:85151439692

SN - 2227-7390

VL - 11

JO - Mathematics

JF - Mathematics

IS - 6

M1 - 1310

ER -

(α − ψ) Meir–Keeler Contractions in Bipolar Metric Spaces

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Keywords

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