Open AccessNew Fixed Point Results in Generalized Gb-Metric Spaces
Author(s) -
Rajesh Kumar Saini,
Mukesh Kushwaha,
Adesh Kumar Tripathi
Publication year - 2020
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.b7502.019320
Subject(s) - metric space , uniqueness , mathematics , fixed point theorem , fixed point , extension (predicate logic) , pure mathematics , contraction (grammar) , contraction mapping , metric (unit) , metric map , injective metric space , space (punctuation) , discrete mathematics , mathematical analysis , computer science , engineering , medicine , operations management , programming language , operating system
In this communication, we establish new fixed point theorem in Gb -metric spaces. Moreover we examine the results for existence as well as uniqueness, which are related to the G-metric space. Our results generalize distinguished results and the mapping satisfying such contraction mention in the literature. In this sense, our results provide extension as well as improvement in the results of Gb -metric space. Also, we give some examples which verify our results.