Title :
New Generalized Contractions in Complete Cone Metric Spaces
Author :
Tang, Yongye ; Su, Yongfu
Author_Institution :
Dept. of Math., Tianjin Polytech. Univ., Tianjin, China
Abstract :
In this paper we prove some fixed point theorems of contractive mappings in a complete cone metric space. We replace the real numbers by ordering Banach space and define cone metric space. Our results generalized some fixed point theorems in partially ordered metric spaces.
Keywords :
Banach spaces; theorem proving; Banach space; complete cone metric spaces; contractive mappings; fixed point theorems; partially ordered metric spaces; Computer science; Differential equations; Equations; Extraterrestrial measurements; cone metric space; contraction type maps; fixed point;
Conference_Titel :
Computer Science and Society (ISCCS), 2011 International Symposium on
Conference_Location :
Kota Kinabalu
Print_ISBN :
978-1-4577-0644-8
DOI :
10.1109/ISCCS.2011.83
