AUTHORS: Kanayo Stella Eke, Bijan Davvaz, Jimevwo Godwin Oghonyon
Download as PDF
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