Fixed point results for <i>G<SUP>m</SUP></i>-Meir-Keeler contractive and <i>G</i>-(α, ψ)-Meir-Keeler contractive mappings

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2013

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Springer international Publishing Ag

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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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In this paper, first we introduce the notion of a G(m)-Meir-Keeler contractive mapping and establish some fixed point theorems for the G(m)-Meir-Keeler contractive mapping in the setting of G-metric spaces. Further, we introduce the notion of a G(c)(m)-Meir-Keeler contractive mapping in the setting of G-cone metric spaces and obtain a fixed point result. Later, we introduce the notion of a G-(alpha, psi)-Meir-Keeler contractive mapping and prove some fixed point theorems for this class of mappings in the setting of G-metric spaces.

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Hussain, Nawab/0000-0001-6585-2202; KARAPINAR, ERDAL/0000-0002-6798-3254

Keywords

G(m)-Meir-Keeler contractive mapping, G-metric space, G(c)(m)-Meir-Keeler contractive mapping, G-cone metric space, G-(alpha, psi)-Meir-Keeler contractive mapping

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47

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https://doi.org/10.1186/1687-1812-2013-34
 https://hdl.handle.net/20.500.14411/277

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