# A general fixed point theorem for two pairs of absorbing mappings in Gp-metric spaces

### Abstract

A general fixed point theorem for two pairs of absorbing mappings satisfying a new type of implicit relation ([37]), without weak compatibility in G_{p}-metric spaces is proved. As applications, new results for mappings satisfying contractive conditions of integral type and for *ϕ*-contractive mappings are obtained.

### Keywords

fixed point; Gp-metric space; absorbing mapping; limit range property; almost altering distance; implicit relation

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*Annales Mathematicae Silesianae*,

*34*(2), 268-285. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13617

“Vasile Alecsandri” University of Bacau, Romania Romania

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