Fixed Point Results on Partial Modular Metric Space

Dipankar Das; Santanu Narzary; Yumnam Mahendra Singh; Mohammad Saeed Khan; Salvatore Sessa

doi:10.3390/axioms11020062

Fixed Point Results on Partial Modular Metric Space

Dipankar Das
, Santanu Narzary
, Yumnam Mahendra Singh
, Mohammad Saeed Khan
, Salvatore Sessa^*

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

In the present paper, we refine the notion of the partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate the occurrence of discrepancies in the non-zero self-distance and triangular inequality. In support of this, we discuss non-trivial examples. Finally, we prove a common fixed-point theorem for four self-mappings in partial modular metric space and an application to our result; the existence of a solution for a system of Volterra integral equations is discussed.

Original language	English
Article number	62
Journal	Axioms
Volume	11
Issue number	2
DOIs	https://doi.org/10.3390/axioms11020062
Publication status	Published - Feb 2022
Externally published	Yes

Keywords

C-class function
Fixed point
Modular space
Partial metric space
Partial modular space
Volterra integral equation
Weakly compatible mappings

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10.3390/axioms11020062

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title = "Fixed Point Results on Partial Modular Metric Space",

abstract = "In the present paper, we refine the notion of the partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate the occurrence of discrepancies in the non-zero self-distance and triangular inequality. In support of this, we discuss non-trivial examples. Finally, we prove a common fixed-point theorem for four self-mappings in partial modular metric space and an application to our result; the existence of a solution for a system of Volterra integral equations is discussed.",

keywords = "C-class function, Fixed point, Modular space, Partial metric space, Partial modular space, Volterra integral equation, Weakly compatible mappings",

author = "Dipankar Das and Santanu Narzary and Singh, \{Yumnam Mahendra\} and Khan, \{Mohammad Saeed\} and Salvatore Sessa",

note = "Publisher Copyright: {\textcopyright} 2022 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2022",

month = feb,

doi = "10.3390/axioms11020062",

language = "English",

volume = "11",

journal = "Axioms",

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T1 - Fixed Point Results on Partial Modular Metric Space

AU - Das, Dipankar

AU - Narzary, Santanu

AU - Singh, Yumnam Mahendra

AU - Khan, Mohammad Saeed

AU - Sessa, Salvatore

PY - 2022/2

Y1 - 2022/2

N2 - In the present paper, we refine the notion of the partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate the occurrence of discrepancies in the non-zero self-distance and triangular inequality. In support of this, we discuss non-trivial examples. Finally, we prove a common fixed-point theorem for four self-mappings in partial modular metric space and an application to our result; the existence of a solution for a system of Volterra integral equations is discussed.

AB - In the present paper, we refine the notion of the partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate the occurrence of discrepancies in the non-zero self-distance and triangular inequality. In support of this, we discuss non-trivial examples. Finally, we prove a common fixed-point theorem for four self-mappings in partial modular metric space and an application to our result; the existence of a solution for a system of Volterra integral equations is discussed.

KW - C-class function

KW - Fixed point

KW - Modular space

KW - Partial metric space

KW - Partial modular space

KW - Volterra integral equation

KW - Weakly compatible mappings

UR - https://www.scopus.com/pages/publications/85124956716

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DO - 10.3390/axioms11020062

M3 - Article

AN - SCOPUS:85124956716

SN - 2075-1680

VL - 11

JO - Axioms

JF - Axioms

IS - 2

M1 - 62

ER -

Fixed Point Results on Partial Modular Metric Space

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Keywords

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