Abstract metric spaces and Hardy-Rogers-type theorems
Апстракт
The purpose of the present paper is to establish coincidence point theorem for two mappings and fixed point theorem for one mapping in abstract metric space which satisfy contractive conditions of Hardy-Rogers type. Our results generalize fixed point theorems of Nemytzki [V.V. Nemytzki, Fixed point method in analysis, Uspekhi Mat. Nauk 1 (1936) 141-174], Edelstein I M. Edelstein, On fixed and periodic point under contractive mappings, J. Lond. Math. Soc. 37 (1962) 74-79] and Huang, Zhang [LG. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2)(2007) 1468-1476] from abstract metric spaces to symmetric spaces (Theorem 2.1) and to metric spaces (Theorem 2.4, Corollaries 2.6-2.8). Two examples are given to illustrate the usability of our results.
Кључне речи:
Symmetric space / Normal and nonnormal cone / Cone metric space / Common fixed point / Coincidence pointИзвор:
Applied Mathematics Letters, 2011, 24, 4, 553-558Издавач:
- Pergamon-Elsevier Science Ltd, Oxford
DOI: 10.1016/j.aml.2010.11.012
ISSN: 0893-9659
WoS: 000286539200028
Scopus: 2-s2.0-78650512825
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Radojević, Slobodan AU - Paunović, Ljiljana AU - Radenović, Stojan PY - 2011 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1218 AB - The purpose of the present paper is to establish coincidence point theorem for two mappings and fixed point theorem for one mapping in abstract metric space which satisfy contractive conditions of Hardy-Rogers type. Our results generalize fixed point theorems of Nemytzki [V.V. Nemytzki, Fixed point method in analysis, Uspekhi Mat. Nauk 1 (1936) 141-174], Edelstein I M. Edelstein, On fixed and periodic point under contractive mappings, J. Lond. Math. Soc. 37 (1962) 74-79] and Huang, Zhang [LG. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2)(2007) 1468-1476] from abstract metric spaces to symmetric spaces (Theorem 2.1) and to metric spaces (Theorem 2.4, Corollaries 2.6-2.8). Two examples are given to illustrate the usability of our results. PB - Pergamon-Elsevier Science Ltd, Oxford T2 - Applied Mathematics Letters T1 - Abstract metric spaces and Hardy-Rogers-type theorems EP - 558 IS - 4 SP - 553 VL - 24 DO - 10.1016/j.aml.2010.11.012 ER -
@article{ author = "Radojević, Slobodan and Paunović, Ljiljana and Radenović, Stojan", year = "2011", abstract = "The purpose of the present paper is to establish coincidence point theorem for two mappings and fixed point theorem for one mapping in abstract metric space which satisfy contractive conditions of Hardy-Rogers type. Our results generalize fixed point theorems of Nemytzki [V.V. Nemytzki, Fixed point method in analysis, Uspekhi Mat. Nauk 1 (1936) 141-174], Edelstein I M. Edelstein, On fixed and periodic point under contractive mappings, J. Lond. Math. Soc. 37 (1962) 74-79] and Huang, Zhang [LG. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2)(2007) 1468-1476] from abstract metric spaces to symmetric spaces (Theorem 2.1) and to metric spaces (Theorem 2.4, Corollaries 2.6-2.8). Two examples are given to illustrate the usability of our results.", publisher = "Pergamon-Elsevier Science Ltd, Oxford", journal = "Applied Mathematics Letters", title = "Abstract metric spaces and Hardy-Rogers-type theorems", pages = "558-553", number = "4", volume = "24", doi = "10.1016/j.aml.2010.11.012" }
Radojević, S., Paunović, L.,& Radenović, S.. (2011). Abstract metric spaces and Hardy-Rogers-type theorems. in Applied Mathematics Letters Pergamon-Elsevier Science Ltd, Oxford., 24(4), 553-558. https://doi.org/10.1016/j.aml.2010.11.012
Radojević S, Paunović L, Radenović S. Abstract metric spaces and Hardy-Rogers-type theorems. in Applied Mathematics Letters. 2011;24(4):553-558. doi:10.1016/j.aml.2010.11.012 .
Radojević, Slobodan, Paunović, Ljiljana, Radenović, Stojan, "Abstract metric spaces and Hardy-Rogers-type theorems" in Applied Mathematics Letters, 24, no. 4 (2011):553-558, https://doi.org/10.1016/j.aml.2010.11.012 . .