TITLE:
A Family of Non-Self Maps Satisfying Φi-Contractive Condition and Having Unique Common Fixed Point in Metrically Convex Spaces
AUTHORS:
Yongjie Piao, Dongzhe Piao
KEYWORDS:
Metrically Convex Space; 5-Dimensional Functions Φ ;Φi-Contractive Condition; Common Fixed Point; Complete
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.4,
July
30,
2012
ABSTRACT: Class of 5-dimensional functions Φ was introduced and a convergent sequence determined by non-self mappings satisfying certain Φi-contractive condition was constructed, and then that the limit of the sequence is the unique com-mon fixed point of the mappings was proved. Finally, several more general forms were given. Our main results gener-alize and unify many same type fixed point theorems in references.