Generalized Meir-Keeler Type Contractions on <i>g</I>-metric Spaces

Mustafa, Zead; Aydi, Hassen; Karapinar, Erdal

Generalized Meir-Keeler Type Contractions on <i>g</I>-metric Spaces

Date

2013

Authors

Mustafa, Zead

Aydi, Hassen

Karapinar, Erdal

Publisher

Elsevier Science inc

Organizational Units

Organizational Unit

Mathematics

(2000)

The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

Abstract

In this manuscript, we introduce generalized Meir-Keeler type contractions over G-metric spaces. Moreover, we show that every orbitally continuous generalized Meir-Keeler type contraction has a unique fixed point on complete G-metric spaces. We illustrate our results by some given examples. (C) 2013 Elsevier Inc. All rights reserved.

Description

Mustafa, Zead/0009-0001-7168-3342; KARAPINAR, ERDAL/0000-0002-6798-3254; Aydi, Hassen/0000-0003-4606-7211; Mustafa, Zead/0000-0002-8540-8448; , Hassen/0000-0003-3896-3809