A General Fixed Point Theorem for Two Pairs of Absorbing Mappings in Gp -Metric Spaces

Valeriu Popa

doi:10.2478/amsil-2020-0004

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A General Fixed Point Theorem for Two Pairs of Absorbing Mappings in Gp -Metric Spaces

Annales Mathematicae Silesianae

Volume 34 (2020): Issue 2 (September 2020)

By: Valeriu Popa

Open Access

|May 2020

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.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2020-0004 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 268 - 285

Submitted on: Feb 11, 2019

Accepted on: Mar 7, 2020

Published on: May 8, 2020

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

fixed point,

-metric space,

absorbing mapping,

limit range property,

almost altering distance,

implicit relation

Related subjects:

Mathematics,

General mathematics

© 2020 Valeriu Popa, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 34 (2020): Issue 2 (September 2020)