TY - JOUR
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
N1 - Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
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 - http://www.scopus.com/inward/record.url?scp=85124956716&partnerID=8YFLogxK
U2 - 10.3390/axioms11020062
DO - 10.3390/axioms11020062
M3 - Article
AN - SCOPUS:85124956716
SN - 2075-1680
VL - 11
JO - Axioms
JF - Axioms
IS - 2
M1 - 62
ER -