2015Journal of Nonlinear Analysis and ApplicationOpen access

A new type of contraction in a complete $G$-metric space

Nidhi Malhotra, Bindu Bansal

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Abstract

In this paper we extend and generalize the concept of $F$-contraction to $F$-weak contraction and prove a fixed point theorem for $F$-weak contraction in a complete $G$-metric space. The article includes a nontrivial example which verify the effectiveness and applicability of our main result.

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What this paper is about

In this paper we extend and generalize the concept of $F$-contraction to $F$-weak contraction and prove a fixed point theorem for $F$-weak contraction in a complete $G$-metric space. The article includes a nontrivial example which verify the effectiveness and applicability of our main result.

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Available abstract

In this paper we extend and generalize the concept of $F$-contraction to $F$-weak contraction and prove a fixed point theorem for $F$-weak contraction in a complete $G$-metric space. The article includes a nontrivial example which verify the effectiveness and applicability of our main result.

Key concepts: Mathematics, Contraction (grammar), Metric space, Type (biology), Pure mathematics, Linguistics, Philosophy, Geology

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