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

Valeriu Popa

Published: 2020-05-08

Vol. 34 No. 2 (2020)

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

Valeriu Popa

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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Popa, V. (2020). A general fixed point theorem for two pairs of absorbing mappings in Gp-metric spaces. Annales Mathematicae Silesianae, 34(2), 268–285. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13617

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Vol. 34 No. 2 (2020)
Published: 2020-09-01

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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