2021•Dynamic Systems and ApplicationsOpen access

Fixed Point Results for Multi-Valued Mappings in G - Metric Spaces

Yan Sun, Chenglin Zhao

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Abstract

In this paper, we present new definitions of multi-valued mappings in G-complete G-metric spaces and establish a sharper sufficient condition for the existence of fixed points by making use of analysis technique.The results which are obtained improve, enrich, generalize and extend many known results.Some examples are also given to demonstrate the application of our main results AMS (MOS) Subject Classification.34B18, 35A05, 35J65.

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In this paper, we present new definitions of multi-valued mappings in G-complete G-metric spaces and establish a sharper sufficient condition for the existence of fixed points by making use of analysis technique.The results which are obtained improve, enrich, generalize and extend many known results.Some examples are also given to demonstrate the application of our main results AMS (MOS) Subject Classification.34B18, 35A05, 35J65.

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Available abstract

In this paper, we present new definitions of multi-valued mappings in G-complete G-metric spaces and establish a sharper sufficient condition for the existence of fixed points by making use of analysis technique.The results which are obtained improve, enrich, generalize and extend many known results.Some examples are also given to demonstrate the application of our main results AMS (MOS) Subject Classification.34B18, 35A05, 35J65.

Key concepts: Mathematics, Metric space, Metric (unit), Fixed-point theorem, Fixed point, Point (geometry), Pure mathematics, Discrete mathematics

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