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FIXED POINTS THEOREMS FOR GENERALISED WEAKLY CONTRACTIVE MAPPINGS

Part of: Connections with other structures, applications Nonlinear operators and their properties

Published online by Cambridge University Press:  04 September 2015

ZHIQUN XUE
ZHIQUN XUE*
Affiliation:
Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, PR China email xuezhiqun@126.com
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Abstract

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In this paper, we establish a convergence theorem for fixed points of generalised weak contractions in complete metric spaces under some new control conditions on the functions. An illustrative example of a generalised weak contraction is discussed to show how the new conditions extend known results.

Keywords

complete metric spacegeneralised weakly contractive mappingfixed point

MSC classification

Primary: 47H10: Fixed-point theorems
Secondary: 54H25: Fixed-point and coincidence theorems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 93 , Issue 2 , April 2016 , pp. 321 - 329
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

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