On Modified Α-Φ Meir-Keeler Contractive Mappings

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2014

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Univ Nis, Fac Sci Math

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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.

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Samet et al. [Nonlinear Anal. 75: 2154-2165, 2012] introduced and studied alpha-psi-contractive mappings. More recently Salimi, et al. [Fixed Point Theory Appl., 2013: 151] modified the notion of alpha-psi-contractive mappings and improved the fixed point theorems in [20, 32]. Here we utilize these notions to establish fixed point results for modified alpha-phi-asymmetric Meir-Keeler contractions and triangular alpha-admissible mappings defined on G-metric and cone G-metric spaces. Several interesting consequences of our theorems are also provided here to illustrate the usability of the obtained results.

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Hussain, Nawab/0000-0001-6585-2202; Roldán López de Hierro, Antonio Francisco/0000-0002-6956-4328; KARAPINAR, ERDAL/0000-0002-6798-3254
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Hussain, Nawab ORCID logo
Roldán López de Hierro, Antonio Francisco ORCID logo
KARAPINAR, ERDAL ORCID logo

Keywords

alpha-psi-contractions, alpha-phi-asymmetric Meir-Keeler contractions, triangular alpha-admissible mappings, G-metric space

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Volume

28

Issue

9

Start Page

1855

End Page

1869

URI

https://doi.org/10.2298/FIL1409855S
 https://hdl.handle.net/20.500.14411/120

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