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A Family of Non-Self Maps Satisfying <i>Φ</i><sub>i</sub>-Contractive Condition and Having Unique Common Fixed Point in Metrically Convex Spaces
Department of Mathematics, College of Science, Yanbian University, Yanji, China
Department of Mathematics, College of Science, Yanbian University, Yanji, China
- 1 Department of Mathematics, College of Science, Yanbian University, Yanji, China
- 2 Department of Mathematics, College of Science, Yanbian University, Yanji, China
Advances in Pure Mathematics·Volume 02 (2012)·Pages 280–284·Published 30 July 2012·DOI10.4236/apm.2012.24036
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Abstract
Class of 5-dimensional functions Φ was introduced and a convergent sequence determined by non-self mappings satisfying certain Φ i -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.
KeywordsMetrically Convex Space5-Dimensional Functions Φ<i>Φ</i><sub>i</sub>-Contractive ConditionCommon Fixed PointComplete
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