Fixed Point Results on Partial Modular Metric Space
Dipankar Das,
Santanu Narzary,
Yumnam Mahendra Singh,
Mohammad Saeed Khan,
Salvatore Sessa
Affiliations
Dipankar Das
Department of Mathematical Sciences, Bodoland University, Kokrajhar 783370, Assam, India
Santanu Narzary
Department of Mathematical Sciences, Bodoland University, Kokrajhar 783370, Assam, India
Yumnam Mahendra Singh
Department of Humanities and Basic Sciences, Manipur Institute of Technology, A Constitute College of Manipur University, Takyepat 795004, Manipur, India
Mohammad Saeed Khan
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Gauteng 0208, South Africa
Salvatore Sessa
Department of Architecture, Federico II Naples University, Via Toledo 402, 80134 Naples, Italy
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.
