Fixed Points of Weakly Compatible Mappings Satisfying Generalized φ-Weak Contractions

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2015

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Malaysian Mathematical Sciences Soc

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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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Abstract

In this paper, utilizing the notion of the common limit range property, we prove some new integral type common fixed point theorems for weakly compatible mappings satisfying a phi-weak contractive condition in metric spaces. Moreover, we extend our results to four finite families of self mappings, and furnish an illustrative example and an application to support our main theorem. Our results improve, extend, and generalize well-known results on the topic in the literature.

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Vetro, Calogero/0000-0001-5836-6847; KARAPINAR, ERDAL/0000-0002-6798-3254; Shatanawi, Wasfi/0000-0001-7492-4933; Chauhan, Sunny/0000-0003-2929-675X
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Vetro, Calogero ORCID logo
KARAPINAR, ERDAL ORCID logo
Shatanawi, Wasfi ORCID logo
Chauhan, Sunny ORCID logo

Keywords

Metric space, Weakly compatible mappings, (CLRS) property, (CLRST) property, Fixed point

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14

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Q2

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Volume

38

Issue

3

Start Page

1085

End Page

1105

URI

https://doi.org/10.1007/s40840-014-0074-0
 https://hdl.handle.net/20.500.14411/817

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