Fixed Point Theory for (μ, ψ)-Generalized Weakly Reich Contraction Mapping in Partially Ordered Metric Spaces
Abstract
In this paper we introduce a concept of (μ, ψ)-generalized weakly Reich contraction mapping, and prove a fixed point theorem. Some Corollaries are consequences of the main result.
References
Alber, Y. I., & Guerre-Delabriere, S. (1997). Principles of weakly contractive maps in Hilbert spaces. In I. Gohberg & Yu. Lyubich, (Eds.), New results in operator theory and its applications (Vol. 8, pp. 7-22). Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8910-0_2
Choudhury, B. S. (2009). Unique fixed point theorem for weakly C-contractive mappings. Kathmandu University J. Sci. Engg. Tech., 5(1), 6-13. https://doi.org/10.3126/kuset.v5i1.2842
Rhoades, B. E. (2001). Some theorems on weakly contractive maps. Nonlinear Anal., 47, 2683-2693. https://doi.org/10.1016/S0362-546X(01)00388-1
Ciric, L., Hussain, N., & Cakic, N. (2010). Common fixed points for Ciric type f-contraction with applications. Publ. Math. Debrecen, 76, 31-49. https://doi.org/10.5486/PMD.2010.4317
Chandok, S. (2011). Some common fixed point theorems for generalized f-weakly contractive mappings. J. Appl. Math. Informatics, 29, 257-265.
Khan, M. S., Swaleh, M., & Sessa, S. (1984). Fixed point theorems by altering distances between the points. Bull. Aust. Math. Soc., 30, 1-9. https://doi.org/10.1017/S0004972700001659
Chandok, S. (2011). Some common fixed point theorems for generalized nonlinear contractive mappings. Comput. Math. Appl., 62, 3692-3699. https://doi.org/10.1016/j.camwa.2011.09.009
Chandok, S. (2013). Some common fixed point results for generalized weak contractive mappings in partially ordered metric spaces. Journal of Nonlinear Analysis and Optimization, 4, 45-52.
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