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Fixed Point Results on Partial Modular Metric Space

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

Axioms, Vol 11, Iss 2, p 62 (2022)

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Bibliografiska uppgifter
Titel Fixed Point Results on Partial Modular Metric Space
Författarna Dipankar Das, Santanu Narzary, Yumnam Mahendra Singh, Mohammad Saeed Khan, Salvatore Sessa
Utgivningsår
2022
Källa
Axioms, Vol 11, Iss 2, p 62 (2022)
Beskrivning
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.
Dokumenttyp
article
Språk
English
Information om utgivare
MDPI AG, 2022.
Ämnestermer
fixed point, partial metric space, modular space, partial modular space, weakly compatible mappings, C-class function, Mathematics, QA1-939
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