C*-Algebra-Valued Partial Modular Metric Spaces and Some Fixed Point Results

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

doi:10.3390/sym15061135

C*-Algebra-Valued Partial Modular Metric Spaces and Some Fixed Point Results

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

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

In the present paper, we introduce the notion of (Formula presented.) -algebra-valued partial modular metric space satisfying the symmetry property that generalizes partial modular metric space, (Formula presented.) -algebra-valued partial metric space, and (Formula presented.) -algebra-valued modular metric space and discuss it with examples. Some fixed point results using (Formula presented.) -contraction mapping are discussed in such space. In addition, we study the stability of obtained results in the spirit of Ulam and Hyers. As an application, we also provide the existence and uniqueness of the solution for a system of Fredholm integral equations.

Original language	English
Article number	1135
Journal	Symmetry
Volume	15
Issue number	6
DOIs	https://doi.org/10.3390/sym15061135
Publication status	Published - Jun 2023
Externally published	Yes

Keywords

&amp;amp;amp;amp;#x2131;-contraction mappings
C*-algebra-valued partial metric spaces
partial modular metric space

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10.3390/sym15061135

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abstract = "In the present paper, we introduce the notion of (Formula presented.) -algebra-valued partial modular metric space satisfying the symmetry property that generalizes partial modular metric space, (Formula presented.) -algebra-valued partial metric space, and (Formula presented.) -algebra-valued modular metric space and discuss it with examples. Some fixed point results using (Formula presented.) -contraction mapping are discussed in such space. In addition, we study the stability of obtained results in the spirit of Ulam and Hyers. As an application, we also provide the existence and uniqueness of the solution for a system of Fredholm integral equations.",

keywords = "&amp;amp;amp;amp;#x2131;-contraction mappings, C*-algebra-valued partial metric spaces, partial modular metric space",

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AU - Narzary, Santanu

AU - Das, Dipankar

AU - Singh, Yumnam Mahendra

AU - Khan, Mohammad Saeed

AU - Sessa, Salvatore

PY - 2023/6

Y1 - 2023/6

N2 - In the present paper, we introduce the notion of (Formula presented.) -algebra-valued partial modular metric space satisfying the symmetry property that generalizes partial modular metric space, (Formula presented.) -algebra-valued partial metric space, and (Formula presented.) -algebra-valued modular metric space and discuss it with examples. Some fixed point results using (Formula presented.) -contraction mapping are discussed in such space. In addition, we study the stability of obtained results in the spirit of Ulam and Hyers. As an application, we also provide the existence and uniqueness of the solution for a system of Fredholm integral equations.

AB - In the present paper, we introduce the notion of (Formula presented.) -algebra-valued partial modular metric space satisfying the symmetry property that generalizes partial modular metric space, (Formula presented.) -algebra-valued partial metric space, and (Formula presented.) -algebra-valued modular metric space and discuss it with examples. Some fixed point results using (Formula presented.) -contraction mapping are discussed in such space. In addition, we study the stability of obtained results in the spirit of Ulam and Hyers. As an application, we also provide the existence and uniqueness of the solution for a system of Fredholm integral equations.

KW - &amp;amp;amp;amp;#x2131;-contraction mappings

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VL - 15

JO - Symmetry

JF - Symmetry

IS - 6

M1 - 1135

ER -

C*-Algebra-Valued Partial Modular Metric Spaces and Some Fixed Point Results

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Keywords

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