Radenović, Stojan; Rhoades, B. E. Fixed point theorem for two non-self mappings in cone metric spaces. (English) Zbl 1186.65073 Comput. Math. Appl. 57, No. 10, 1701-1707 (2009). Summary: We extend a fixed point theorem of Imdad and Kumar, for a pair of non-self maps, to non-normal cone spaces. Cited in 2 ReviewsCited in 65 Documents MSC: 65J15 Numerical solutions to equations with nonlinear operators 47H10 Fixed-point theorems Keywords:common fixed point; cone metric space; normal and non-normal cone; non-self mappings; coincidence point PDFBibTeX XMLCite \textit{S. Radenović} and \textit{B. E. Rhoades}, Comput. Math. Appl. 57, No. 10, 1701--1707 (2009; Zbl 1186.65073) Full Text: DOI References: [1] Huang, L. G.; Zhang, X., Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332, 2, 1468-1476 (2007) · Zbl 1118.54022 [2] Abbas, M.; Jungck, G., Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl., 341, 416-420 (2008) · Zbl 1147.54022 [3] Ilić, D.; Rakočević, V., Common fixed points for maps on cone metric space, J. Math. Anal. Appl., 341, 876-882 (2008) · Zbl 1156.54023 [4] Ilić, D.; Rakočević, V., Quasi-contraction on cone metric space, Appl. Math. Lett. (2008) [5] Rezapour, Sh.; Hamlbarani, R., Some notes on the paper Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 345, 719-724 (2008) · Zbl 1145.54045 [6] Deimling, K., Nonlinear Functional Analysis (1985), Springer-Verlag · Zbl 0559.47040 [7] Sh. Rezapour, A review on topological properties of cone metric spaces, Analysis, Topology and Applications 2008, Vrnjačka Banja, Serbia, from May 30 to June 4, 2008; Sh. Rezapour, A review on topological properties of cone metric spaces, Analysis, Topology and Applications 2008, Vrnjačka Banja, Serbia, from May 30 to June 4, 2008 · Zbl 1145.54045 [8] Assad, N. A., On a fixed point theorem of Kannan in Banach spaces, Tamkang J. Math., 7, 91-94 (1976) · Zbl 0356.47027 [9] Assad, N. A.; Kirk, W. A., Fixed point theorems for set-valued mappings of contractive type, Pacific J. Math., 43, 3, 553-562 (1972) · Zbl 0239.54032 [10] Rhoades, B. E., A fixed point theorem for some non-self-mappings, Math. Japonica, 23, 4, 457-459 (1978) · Zbl 0396.47038 [11] Imdad, M.; Kumar, S., Rhoades -type fixed -point theorems for a pair of nonself mappings, Comput. Math. Appl., 46, 919-927 (2003) · Zbl 1065.47059 [12] Lj.B. Ćirić, S. Radenović, M. Rajović, J.S. Ume, Common fixed point theorems for non-self mappings in metric spaces of hyperbolic type (submitted for publication); Lj.B. Ćirić, S. Radenović, M. Rajović, J.S. Ume, Common fixed point theorems for non-self mappings in metric spaces of hyperbolic type (submitted for publication) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.