FIXED POINTS OF GENERALIZED α-ADMISSIBLE CONTRACTIONS ON <i>b</i>-METRIC SPACES WITH AN APPLICATION TO BOUNDARY VALUE PROBLEMS

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Date

2016

Authors

Aksoy, Umit
Karapinar, Erdal
Erhan, Inci M.

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Yokohama Publ

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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

A general class of alpha-admissible contractions defined via (b)-comparison functions on b-metric spaces is discussed. Existence and uniqueness of the fixed point for this class of contractions is studied. Some consequences are presented. The results are employed in the discussion of existence and uniqueness of solutions of first order boundary value problems for ordinary differential equations.

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Erhan, Inci M./0000-0001-6042-3695
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Erhan, Inci M. ORCID logo

Keywords

Fixed point, b-metric space, admissible contractions, comparison functions

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Citation

67

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Q2

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Volume

17

Issue

6

Start Page

1095

End Page

1108

URI

https://hdl.handle.net/20.500.14411/9139

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