New Fixed Point Results in Generalized Gb-Metric Spaces | Zendy

Rajesh Kumar Saini | Zendy; Mukesh Kumar Kushwaha | Zendy; Adesh Kumar Tripathi | Zendy

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New Fixed Point Results in Generalized Gb-Metric Spaces

Author(s) -

Rajesh Kumar Saini,

Mukesh Kumar 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 , extension (predicate logic) , contraction (grammar) , metric (unit) , contraction mapping , fixed point , pure mathematics , injective metric space , metric map , space (punctuation) , discrete mathematics , computer science , mathematical analysis , engineering , linguistics , operations management , programming language , operating system , philosophy

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.

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