# Fixed point theorems for two pairs of mappings satisfying a new type of common limit range property in G_p metric spaces

### Abstract

The purpose of this paper is to prove a general fixed point theorem for mappings involving almost altering distances and satisfying a new type of common limit range property in *G _{p}* metric spaces. In the last part of the paper, some fixed point results for mappings satisfying contractive conditions of integral type and for '-contractive mappings are obtained.

### Keywords

fixed point; almost altering distance; common limit range property; G_p-metric spaces; implicit relation

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*Annales Mathematicae Silesianae*,

*32*, 295-312. Retrieved from https://www.journals.us.edu.pl/index.php/AMSIL/article/view/13928

“Vasile Alecsandri” University of Bacău, Romania Romania

Department of Mathematics and Computer Sciences, Faculty of Sciences and Environment, “Dunărea de Jos” University of Galați, Romania Romania

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