TY - JOUR

T1 - C*-Algebra-Valued Partial Modular Metric Spaces and Some Fixed Point Results

AU - Narzary, Santanu

AU - Das, Dipankar

AU - Singh, Yumnam Mahendra

AU - Khan, Mohammad Saeed

AU - Sessa, Salvatore

N1 - Publisher Copyright:
© 2023 by the authors.

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

KW - C-algebra-valued partial metric spaces

KW - partial modular metric space

UR - http://www.scopus.com/inward/record.url?scp=85163766114&partnerID=8YFLogxK

U2 - 10.3390/sym15061135

DO - 10.3390/sym15061135

M3 - Article

AN - SCOPUS:85163766114

SN - 2073-8994

VL - 15

JO - Symmetry

JF - Symmetry

IS - 6

M1 - 1135

ER -