Contractive Multivalued Maps in Terms of <i>q</I>-functions on Complete Quasimetric Spaces

Karapinar, Erdal; Romaguera, Salvador; Tirado, Pedro

Contractive Multivalued Maps in Terms of <i>q</I>-functions on Complete Quasimetric Spaces

Date

2014

Authors

Karapinar, Erdal

Romaguera, Salvador

Tirado, Pedro

Publisher

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.

Abstract

In this paper we prove the existence of a fixed point for multivalued maps satisfying a contraction condition in terms of Q-functions, and via Bianchini-Grandolfi gauge functions, for complete T-0-quasipseudometric spaces. Our results extend, improve, and generalize some recent results in the literature. We present some examples to validate and illustrate our results.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; Romaguera, Salvador/0000-0001-7857-6139

ORCID

KARAPINAR, ERDAL

Romaguera, Salvador

Keywords

fixed point, T-0-quasipseudometric, multivalued map, Q-function

URI

https://doi.org/10.1186/1687-1812-2014-53
https://hdl.handle.net/20.500.14411/220

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Contractive Multivalued Maps in Terms of <i>q</I>-functions on Complete Quasimetric Spaces

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