Common Fixed Point Results on Generalized Weak Compatible Mapping in Quasi-Partial b-Metric Space
Author(s) -
Pragati Gautam,
Luis Manuel Sánchez Ruiz,
Swapnil Verma,
Gauri Gupta
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/5526801
Subject(s) - mathematics , metric space , uniqueness , fixed point , coincidence point , metric (unit) , space (punctuation) , fixed point theorem , complete metric space , focus (optics) , pure mathematics , coincidence , fixed point property , mathematical analysis , medicine , linguistics , operations management , philosophy , physics , alternative medicine , pathology , optics , economics
The focus of this paper is to acquaint with generalized condition (B) in a quasi-partial b-metric space and to establish coincidence and common fixed point theorems for weakly compatible pairs of mapping. Additionally, with the background of quasi-partial b-metric space, the outcomes obtained are exemplified to prove the existence and uniqueness of fixed point.
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