Common fixed point theorems for some new generalized contractive type mappings
TLDR
In this paper, some new generalized contractive type conditions for a pair of mappings in metric space are defined, and some common fixed point results for these mappings are presented.About:
This article is published in Journal of Mathematical Analysis and Applications.The article was published on 2007-09-15 and is currently open access. It has received 64 citations till now. The article focuses on the topics: Coincidence point & Fixed-point theorem.read more
Citations
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Equivalent conditions for generalized contractions on (ordered) metric spaces
TL;DR: In this article, a geometric lemma giving a list of equivalent conditions for some subsets of the plane was established, and various contractive conditions using the so-called altering distance functions coincide with classical ones.
Journal ArticleDOI
A common fixed point theorem using implicit relation and property (E.A) in metric spaces
TL;DR: In this paper, a common fixed point theorem for a quadruple of mappings with weak compatibility was proved for weak compatibility and property (E.A) in the existence of common fixed points.
Journal ArticleDOI
Fixed point theorems for generalized contractive mappings in metric spaces
TL;DR: In this article, it was shown that fixed point theorems of Wardowski and Jleli and Samet (2014) are equivalent to a special case of the well-known fixed point theorem of Skof.
Research Article Common Fixed Point Theorems for Hybrid Pairs of Occasionally Weakly Compatible Mappings Satisfying Generalized Contractive Condition of Integral Type
Mujahid Abbas,Billy E. Rhoades +1 more
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Fixed points of multivalued operators in ordered metric spaces with applications
TL;DR: In this article, the authors present some new (hybrid) fixed point theorems involving multivalued operators which satisfy weakly generalized contractive conditions in an ordered complete metric space.
References
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A comparison of various definitions of contractive mappings
TL;DR: A number of authors have defined contractive type mappings on a complete metric space X which are generalizations of the well-known Banach contraction, and which have the property that each such mapping has a unique fixed point.
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A fixed point theorem for mappings satisfying a general contractive condition of integral type
TL;DR: In this paper, the existence of fixed points for mappings defined on metric spaces satisfying a general contractiveINEquality of integral type was analyzed, and it was shown that fixed points can be found for any mapping f : X → X for which there exists a real number of φ (t ) d t > 0.
Journal ArticleDOI
A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type
TL;DR: A general condition is given which enables one to easily establish fixed point theorems for a pair of maps satisfying a contractive inequality of integral type.
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