Fixed point theorems for generalized contraction mappings on b-rectangular metric spaces

Authors

  • Cristian Daniel ALECSA Babe¸s-Bolyai University Faculty of Mathematics and Computer Sciences Cluj-Napoca, Romania, e-mail: cristian.alecsa@math.ubbcluj.ro; ”Tiberiu Popoviciu” Institute of Numerical Analysis Romanian Academy Cluj-Napoca, Romania e-mail: cristian.alecsa@ictp.acad.ro https://orcid.org/0000-0003-2324-7711

DOI:

https://doi.org/10.24193/subbmath.2017.4.08

Keywords:

Generalized contraction, b-rectangular metric space, expansive mappings, fixed point.

Abstract

In the present article, we study some fixed point theorems for a hybrid class of generalized contractive operators in the context of b-rectangular metric spaces. Examples justifying theorems and an open problem regarding to further generalizations for this type of operators are also given.

Mathematics Subject Classification (2010): 47H10, 54H25.

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Published

2017-12-30

How to Cite

ALECSA, C. D. (2017). Fixed point theorems for generalized contraction mappings on b-rectangular metric spaces. Studia Universitatis Babeș-Bolyai Mathematica, 62(4), 495–520. https://doi.org/10.24193/subbmath.2017.4.08

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