WSEAS Transactions on Mathematics


Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 18, 2019

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 18, 2019



Common Fixed Point Theorems for Kannan - Type Multiplicative Contractive Maps in Fuzzy G-partial Metric Spaces

AUTHORS: Kanayo Stella Eke, Bijan Davvaz, Jimevwo Godwin Oghonyon

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In this paper, we introduce the classes of Kannan-type multiplicative contractive mappings into fuzzy G-partial metric spaces. Thereafter, we prove some common fixed point theorems for Kannan - type multiplicative contractive maps satisfying sequential convergent conditions in fuzzy Gpartial metric space. Our results extend and generalize some well known results in the literature.

KEYWORDS: fixed points, Kannan- type multiplicative contractive maps, sequential convergence, fuzzy set, fuzzy G-partial metric space.

REFERENCES:

[ 1] Banach S., Sur les operations dans les ensembles abstraits et leur applications aux equations integrals, Fundam. Math., Vol.3, 1922, pp.133-181.

[2] Kannan R., Some results on fixed points, Bull. Calcutta Math. Soc., Vol.10, 1968, pp.71-76.

[3] Moradi S. and Alimohammadi D., New extensions of Kannan fixed -point generalized metric spaces, International Journal of Mathematical Analysis, Vol.5, No. 47, 2011, pp. 2313-2320.

[4] Malceski R., Malceski A., Anevska K. and Malceski S., Common fixed points of Kannan and Chatterjea Types of mappings in a complete metric space, British Journal of Mathematics and Computer Science, Vol.18, No. 2, 2016, pp.1-11.

[5] Eke K. S., Common fixed point theorems for generalized contraction mappings on uniform spaces, Far East Journal of Mathematical Sciences, Vol. 99, No.11, 2016, pp.1753-1760.

[6] Ozavsar M. and Cevikel A., Fixed points of multiplicative contraction mappings on multiplicative metric spaces, Math. GM., 2012, http://arxiv.org/abs/1205.5131v1.

[7] He X., Song M. and Chen D., Common fixed points for weak commutative mappings on a multiplicative metric spaces, Fixed Point Theory and Appl., Vol.2014, Article 48, 2014.

[8] Eke K. S., Oghonyon J. G. and Davvaz B., Some fixed point theorems for contractive maps in fuzzy G-partial metric spaces, International Journal of Mechanical Engineering and Technology, Vol. 9, No. 8, 2018, pp.635-645.

[9] Branciari A., A fixed point theorem of BanachCaccippoli type on a class of generalized metric spaces, Publi. Math. Debrecen, Vol. 57, No.1- 2, 2000, pp.45-48

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 18, 2019, Art. #30, pp. 223-229


Copyright Β© 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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