Generalized φ-contraction for four mappings on solid cone metric spaces
Abstract
In this paper we introduce the concept of a generalized φ-contraction for four mappings in solid cone metric spaces. Our results generalize, extend, unify, enrich and complement recent common fixed point results established by Chi-Ming Chen, Tong Huei Chang [Chi-Ming Chen, Tong-Huei Chang, Common fixed point theorems for a weaker Meir-Keeler type function in cone metric spaces, Applied Mathematics Letters 23 (2010) 1336-1341], I. Arand̂elović et al. [I. Arand̂elovié, Z. Kadelburg, S. Radenovicn;, Boyd-Wong-type common fixed point results in cone metric spaces, Applied Mathematics and Computation 217 (2011) 7167-7171] and A. Razani et al. [A. Razani, V. Rakočević, Z. Goodarzi, Generalized φcontraction for a pair of mappings on cone metric spaces, Applied Mathematics and Computation 217 (2011) 8899-8906]. Some examples are included which illustrate the cases when new results can be applied while old one cannot.
Keywords:
φ-mapping / Solid cone / Point of coincidence / Cone metric space / Common fixed point / Coincidence pointSource:
Indian Journal of Mathematics, 2014, 56, 2, 209-228Publisher:
- Allahabad Mathematical Society
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Cvetković, Aleksandar AU - Radenović, Stojan AU - Simić, S. AU - Stanić, M.P. PY - 2014 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2046 AB - In this paper we introduce the concept of a generalized φ-contraction for four mappings in solid cone metric spaces. Our results generalize, extend, unify, enrich and complement recent common fixed point results established by Chi-Ming Chen, Tong Huei Chang [Chi-Ming Chen, Tong-Huei Chang, Common fixed point theorems for a weaker Meir-Keeler type function in cone metric spaces, Applied Mathematics Letters 23 (2010) 1336-1341], I. Arand̂elović et al. [I. Arand̂elovié, Z. Kadelburg, S. Radenovicn;, Boyd-Wong-type common fixed point results in cone metric spaces, Applied Mathematics and Computation 217 (2011) 7167-7171] and A. Razani et al. [A. Razani, V. Rakočević, Z. Goodarzi, Generalized φcontraction for a pair of mappings on cone metric spaces, Applied Mathematics and Computation 217 (2011) 8899-8906]. Some examples are included which illustrate the cases when new results can be applied while old one cannot. PB - Allahabad Mathematical Society T2 - Indian Journal of Mathematics T1 - Generalized φ-contraction for four mappings on solid cone metric spaces EP - 228 IS - 2 SP - 209 VL - 56 UR - https://hdl.handle.net/21.15107/rcub_machinery_2046 ER -
@article{ author = "Cvetković, Aleksandar and Radenović, Stojan and Simić, S. and Stanić, M.P.", year = "2014", abstract = "In this paper we introduce the concept of a generalized φ-contraction for four mappings in solid cone metric spaces. Our results generalize, extend, unify, enrich and complement recent common fixed point results established by Chi-Ming Chen, Tong Huei Chang [Chi-Ming Chen, Tong-Huei Chang, Common fixed point theorems for a weaker Meir-Keeler type function in cone metric spaces, Applied Mathematics Letters 23 (2010) 1336-1341], I. Arand̂elović et al. [I. Arand̂elovié, Z. Kadelburg, S. Radenovicn;, Boyd-Wong-type common fixed point results in cone metric spaces, Applied Mathematics and Computation 217 (2011) 7167-7171] and A. Razani et al. [A. Razani, V. Rakočević, Z. Goodarzi, Generalized φcontraction for a pair of mappings on cone metric spaces, Applied Mathematics and Computation 217 (2011) 8899-8906]. Some examples are included which illustrate the cases when new results can be applied while old one cannot.", publisher = "Allahabad Mathematical Society", journal = "Indian Journal of Mathematics", title = "Generalized φ-contraction for four mappings on solid cone metric spaces", pages = "228-209", number = "2", volume = "56", url = "https://hdl.handle.net/21.15107/rcub_machinery_2046" }
Cvetković, A., Radenović, S., Simić, S.,& Stanić, M.P.. (2014). Generalized φ-contraction for four mappings on solid cone metric spaces. in Indian Journal of Mathematics Allahabad Mathematical Society., 56(2), 209-228. https://hdl.handle.net/21.15107/rcub_machinery_2046
Cvetković A, Radenović S, Simić S, Stanić M. Generalized φ-contraction for four mappings on solid cone metric spaces. in Indian Journal of Mathematics. 2014;56(2):209-228. https://hdl.handle.net/21.15107/rcub_machinery_2046 .
Cvetković, Aleksandar, Radenović, Stojan, Simić, S., Stanić, M.P., "Generalized φ-contraction for four mappings on solid cone metric spaces" in Indian Journal of Mathematics, 56, no. 2 (2014):209-228, https://hdl.handle.net/21.15107/rcub_machinery_2046 .