New Fixed Point Theorems for θ ω Contraction on λ , μ -Generalized Metric Spaces

Author:

Kari Abdelkarim1ORCID,Al-Rawashdeh Ahmed2ORCID

Affiliation:

1. Laboratory of Analysis, Modeling and Simulation Faculty of Sciences Ben M’Sik, Hassan II University, B.P. 7955 Casablanca, Morocco

2. Department of Mathematical Sciences, UAE University, Al Ain 15551, UAE

Abstract

In this paper, we consider a new extension of the Banach contraction principle, which is called the θ ω contraction inspired by the concept of θ contraction in λ , μ -generalized metric spaces and to study the existence and uniqueness of fixed point for the mappings in metric space. Moreover, we discuss some illustrative examples to highlight the improvements that were made, and we also give an iterated application of linear integral equations.

Funder

UPAR-2019

Publisher

Hindawi Limited

Subject

Analysis

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