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Some new common fixed point theorems under strict contractive conditions

Mohamed Aamri, +1 more
- 01 Jun 2002 - 
- Vol. 270, Iss: 1, pp 181-188
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TLDR
In this paper, the main purpose of this paper is to give some new common fixed point theorems under strict contractive conditions for mappings satisfying a new property, which is related to our work.
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 2002-06-01 and is currently open access. It has received 547 citations till now. The article focuses on the topics: Fixed-point theorem & Fixed point.

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Citations
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Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces

TL;DR: Some common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces are proved by using the new property of Kramosil and Michalek.

Fixed point theorems for occasionally weakly compatible mappings

TL;DR: In this article, the authors obtained two fixed point theorems for a class of operators called occasionally weakly compatible maps defined on a symmetric space and established two of the most general fixed point theorem for four maps.
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Common fixed points of single-valued and multivalued maps

TL;DR: A new property is defined which contains the property (EA) for a hybrid pair of single- and multivalued maps and some new common fixed point theorems under hybrid contractive conditions are given.
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A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type

TL;DR: Aamri and El Moutawakil as mentioned in this paper proved a common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type and a property.
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Coincidence and fixed points for hybrid strict contractions

TL;DR: The notion of T-weak commutativity for a hybrid pair ( f, T ) of single-valued and multivalued mappings was introduced in this paper, where the authors obtained some fixed point theorems for this class of maps and derived an approximation theorem.
References
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Journal ArticleDOI

Compatible mappings and common fixed points

TL;DR: In this paper, a common fixed point theorem of S.L. and S.P. Singh is generalized by weakening commutativity hypotheses and by increasing the number of functions involved.
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Fixed point theorems for mappings satisfying inwardness conditions

TL;DR: In this paper, a characterization of weakly inward mappings is given in terms of a condition arising in the study of ordinary differential equations, and a general fixed point theorem is proved and applied to derive a generalization of the contraction mapping principle in a complete metric space.
Journal ArticleDOI

Common fixed point theorems for contractive maps

TL;DR: Two common fixed point theorems have been proved by using minimal type commutativity and contractive conditions as mentioned in this paper, and the last theorem extends known results on compatible maps to a wider class of mappings.