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In this paper, we define g-convergence and g-Cauchy of double sequences in g-metric spaces. Also we prove that g-limit is unique and every g-convergent double sequence is a g-Cauchy sequence. Additionally g-statistical convergence of double sequences is introduced and the theorem giving the relationship between statistical convergence and strongly Cesáro summability in a g-metric space is demonstrated. Further, we put forward the notations of g-lacunary statistical convergence and g-strongly lacunary convergence of double sequences and we also present some inclusion theorems. [ABSTRACT FROM AUTHOR]

The principal object of this paper is to present new contractive type condition for mappings defined on G-metric spaces. Further, we prove some new fixed point theorems concerning these mappings in G-metric space. Particular cases and examples to illustrate and support our results are also considered. Our findings extend and unify a known results. [ABSTRACT FROM AUTHOR]

The aim of this paper is to define the concepts of remotest points and approximate remotest points in G-metric spaces and obtain some existence results on these concepts. In particular, we define G-remotest points and G - ϵ-approximate remotest points by considering a cyclic map and prove some results in G-metric spaces. [ABSTRACT FROM AUTHOR]

In this paper, we establish some fixed point theorems with the help of α-admissible mapping satisfying (ψ,Φ) contractive condition of integral type in Gb-metric space. Our results are supported by examples. [ABSTRACT FROM AUTHOR]

In this article, we provide a fixed point theory for Generalized Neutrosophic Metric Spaces (GNMS) and present generalized ((ψ - φ)- contracting principle. Numerous modern fixed point concepts have been generalized as well as extended by what we have found. We support our argument with a specific example. [ABSTRACT FROM AUTHOR]

The aim of this paper is to define the concepts of remotest points and approximate remotest points in G-metric spaces and obtain some existence results on these concepts. In particular, we define G-remotest points and G-ϵ-approximate remotest points by considering a cyclic map and prove some results in G-metric spaces.