Some Fixed Point Results on Complex Valued Sb-Metric Spaces

Yıl 2018, , 10 - 21, 31.10.2018

Nihal Taş Nihal Yılmaz Özgür Nabil Mlaiki

https://doi.org/10.36753/mathenot.476779

Cited By: 2

Öz

More recently, the notion of a complex valued Sb-metric space has been introduced and studied. In this

paper, we investigate some basic properties of this new space. We study some fixed point results on a

complete complex valued Sb-metric space. A common fixed point theorem for two self-mappings on a

complete complex valued Sb-metric space is also given.

Anahtar Kelimeler

Complex valued Sb-metric space, fixed point, common fixed point

Kaynakça

• [1] Aghajani, A., Abbas, M. J. and Roshan, R., Common fixed point of generalized weak contractive mappings in partially ordered Gb-metric spaces, Filomat, 28(2014), no.6, 1087-1101.
• [2] An, T. V., Dung, N. V. and Hang, V. T. L., A new approach to fixed point theorems on G-metric spaces, Topology Appl., 160(2013), no.12, 1486-1493.
• [3] Azam, A., Fisher, B. and Khan, M., Common fixed point theorems in complex valued metric spaces, Number. Funct. Anal. Optim., 32(2011), 243-253.
• [4] Bakhtin, I. A., The contraction mapping principle in quasimetric spaces, Funct. Anal. Unianowsk Gos. Ped. Inst., 30(1989), 26-37.
• [5] Dubey, A. K., Shukla, R. and Dubey, R. P., Some fixed point theorems in complex valued b-metric spaces, Journal of Complex Systems, (2015), Article ID: 832467, 7 pages.
• [6] Dung, N. V., Hieu, N. T. and Radojevic, S., Fixed point theorems for g-monotone maps on partially ordered S-metric spaces, Filomat, 28(2014), no.9, 1885-1898.
• [7] Ege, Ö., Complex valued Gb-metric spaces, J. Computational Analysis and Applications, 21(2016), no.2, 363-368.
• [8] Mlaiki, N. M., Common fixed points in complex S-metric space, Adv. Fixed Point Theory, 4(2014), no.4, 509-524.
• [9] Mlaiki, N. and Rohen, Y., Some coupled fixed point theorems in partially ordered Ab-metric space, J. Nonlinear Sci. Appl., 10(2017), 1731-1743.
• [10] Mohanta, S. K., Some fixed point theorems in G-metric spaces, An. ¸ Stiint. Univ. "Ovidius" Constanta Ser. Mat., 20(2012), no.1, 285-305.
• [11] Muhkeimer, A. A., Some common fixed point theorems in complex valued b-metric spaces, The Scientific Worl Journal, (2014) Article ID: 587825, 6 pages.
• [12] Mustafa, Z. and Sims, B., A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 7(2006), no.2, 289-297.
• [13] Nashine, H. K., Imdad, M. and Hasan, M., Common fixed point theorems under rational contractions in complex valued metric spaces, J. Nonlinear Sci. Appl., 7(2014), 42-50.
• [14] Özgür, N. Y. and Ta¸s, N., Some fixed point theorems on S-metric spaces, Mat. Vesnik, 69(2017), no.1, 39-52.
• [15] Özgür, N. Y. and Ta¸s, N., Some new contractive mappings on S-metric spaces and their relationships with the mapping (S25), Math. Sci., 11(2017), no.1, 7-16.
• [16] Özgür, N. Y. and Ta¸s, N., Some generalizations of fixed point theorems on S-metric spaces, Essays in Mathematics and Its Applications in Honor of Vladimir Arnold, New York, Springer, 2016.
• [17] Priyobarta, N., Rohen, Y. and Mlaiki, N., Complex valued Sb-metric spaces, J. Math. Anal., 8(2017), no.2, 13-24.
• [18] Rao, K. P. R., Swamy, P. R. and Prasad, J. R., A common fixed point theorem in complex valued b-metric spaces, Bulletin of Mathematics and Statistics Research, 1(2013), no.1.
• [19] Rohen, Y., Došenovi´c, T. and Radenovi´c, S., A note on the paper “a fixed point theorems in Sb-metric spaces”, Filomat, 31(2017), no.11, 3335-3346.
• [20] Sedghi, S., Shobe, N. and Aliouche, A., A generalization of fixed point theorems in S-metric spaces, Mat. Vesnik, 64(2012), no.3, 258-266.
• [21] Sedghi, S. and Dung, N. V., Fixed point theorems on S-metric spaces, Mat. Vesnik, 66(2014), no.1, 113-124.
• [22] Sedghi, S., Shobkolaei, N., Roshan, J. R. and Shatanawi, W., Coupled fixed point theorems in Gb-metric spaces, Mat. Vesnik, 66(2014), no.2, 190-201.
• [23] Sedghi, S., Gholidahneh, A., Došenovi´c, T., Esfahani, J. and Radenovi´c, S., Common fixed point of four maps in Sb-metric spaces, J. Linear Topol. Algebra, 5(2016), no.2, 93-104.
• [24] Souayah, N. and Mlaiki, N., A fixed point theorem in Sb-metric space, J. Math. Computer Sci., 16(2016), 131-139.
• [25] Ughade, M., Turkoglu, D., Singh, S. K. and Daheriya, R. D., Some fixed point theorems in Ab-metric space, British Journal of Mathematics & Computer Science 19(2016), no.6, 1-24.
• [26] Verma, R. K. and Pathak, H. K., Common fixed point theorems using property (E:A) in complex-valued metric spaces, Thai J. Math., 11(2013), no.2, 347-355.