On new common fixed point results by using (JCLR) property in b-metric spaces
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Keywords:
(JCLR) property; weakly compatible; b-metric spacesAbstract
In this presented paper, we introduce the concept of (JCLR) property in the sense of b-metric spaces. Further, we obtain common fixed point theorems for weakly compatible along with generalized (CLR) property. Our results extend and improve a very recent theorem in the related literature. An example is also given to support our main result.
References
Bakhtin, I. A., The contraction mapping princle in almost metric spaces. Funct. Anal., Gos. Ped. Inst. Unianowsk 30, (1989), 26–37.
Czerwik, S., Nonlinear set-valued contraction mappings in b-metric spaces, Atti Semin. Mat. Fis. Univ. Modena, 46, (1998), 263–276
Czerwik, S., Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostraviensis, 1, (1993), 5–11.
Boriceanu, M., Bota, M., Petrusel, A., Mutivalued fractals in b-metric spaces, Cent. Eur. J. Math., 8(2), (2010), 367–377.
Bota, M., Molnar, A., Csaba, V., On Ekeland’s variational principle in b-metric spaces, Fixed Point Theory, 12, (2011), 21–28.
Yamaod, O., Sintunavarat, W., Cho, Y.J., Common Solutions for a System of Functional Equations in Dynamic Programming Passing Through the (JCLR)-Property in Sb-Metric Spaces. In: Cho, Y.J., Jleli, M., Mursaleen, M., Samet, B., Vetro, C. (eds) Advances in Metric Fixed Point Theory and Applications. Springer, Singapore, (2021).
Aghajani, A., Abbas, M., Roshan, J. R., Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces, Math. Slovaca, 64(4), (2014), 941–960.
Aamri, M., El Moutawakil, D., Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl., 270(1), (2002), 181–188.
Kamran, T., Coincidence and fixed points for hybrid strict contractions, J. Math. Anal. Appl., 299(1), (2004), 235–241.
Sintunavarat, W., Kumam, P., Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces, Journal of Applied Mathematics, 2011, (2011), Article ID 637958, 14 pages.
Imdad, M., Chauhan, S., Soliman, A. H., Ahmed, M. A., Hybrid fixed point theorems in symmetric spaces via common limit range property, Demonstratio Math., 47(4), (2014), 949–962.
Jungck, G., Rhoades, B. E., Fixed point for set valued functions without continuity, Indian J. Pure Appl. Math., 29(3), (1998), 227–238.
