Common Fixed Point Theorems for Mappings Satisfying (E.A)-Property on Cone Normed B-Metric Spaces
Main Article Content
Abstract
In this article, we demonstrate the conditions for the existence of common fixed points (CFP)theorems for four self-maps satisfying the common limit range (E.A)-property on cone normed B-metric spaces (CNBMS). Furthermore, we have an unique common fixed point for two weakly compatible (WC) pairings.
Article Details
References
- M. Aamri, D. El Moutawakil, Some New Common Fixed Point Theorems Under Strict Contractive Conditions, J. Math. Anal. Appl. 270 (2002), 181–188. https://doi.org/10.1016/s0022-247x(02)00059-8.
- T. Abdeljawad, D. Turkloglu, M. Abuloha, Some Theorems and Examples of Cone Metric Spaces, J. Comput. Anal. Appl. 12 (2010), 739–753.
- I.A. Bakhtin, The Contraction Mapping Principle in Almost Metric Space, Funct. Anal. Gos. Ped. Inst. Unianowsk. 30 (1989), 26–37.
- M. Boriceanu, M. Bota, A. Petru¸sel, Multivalued Fractals in b-Metric Spaces, Centr. Eur. J. Math. 8 (2010), 367–377. https://doi.org/10.2478/s11533-010-0009-4.
- S. Czerwik, Contraction Mappings in b-Metric Spaces, Acta Math. Inform. Univ. Ostrav. 1 (1993), 5–11 http://dml.cz/dmlcz/120469.
- H. Huang, S. Xu, Fixed Point Theorems of Contractive Mappings in Cone b-Metric Spaces and Applications, Fixed Point Theory Appl. 2013 (2013), 112. https://doi.org/10.1186/1687-1812-2013-112.
- L.G. Huang, X. Zhang, Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings, J. Math. Anal. Appl. 332 (2007), 1468–1476. https://doi.org/10.1016/j.jmaa.2005.03.087.
- N. Hussain, M.H. Shah, KKM Mappings in Cone b-Metric Spaces, Computers Math. Appl. 62 (2011), 1677–1684. https://doi.org/10.1016/j.camwa.2011.06.004.
- R. Krishnakumar, M. Marudai, Cone Convex Metric Spaces and Fixed Point Theorems, Int. J. Math. Anal. 6 (2012), 1087–1093.
- R. Krishnakumar, D. Dhamodharan, Cone C-Class Function with Common Fixed Point Theorems for Cone b-Metric Space, J. Math. Inform. 8 (2017), 83–94. https://doi.org/10.22457/jmi.v8a9.
- M.S. Khan, M. Swaleh, S. Sessa, Fixed Point Theorems by Altering Distances Between the Points, Bull. Austral. Math. Soc. 30 (1984), 1–9. https://doi.org/10.1017/s0004972700001659.
- V. Ozturk, S. Radenovic, Some remarks on b-(E.A)-property in b-metric spaces, SpringerPlus 5 (2016), 544. https://doi.org/10.1186/s40064-016-2163-z.
- V. Ozturk, D. Turkoglu, Common Fixed Point Theorems for Mappings Satisfying (E.A)-Property in b-Metric Spaces, J. Nonlinear Sci. Appl. 8 (2015), 127–1133.