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Search Results: 1 - 10 of 7912 matches for " common fixed point "
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Fixed Points and Common Fixed Points of Quasi-Contractive Mappings on Partially Ordered-Cone Metric Spaces  [PDF]
Hailan Jin, Yongjie Piao
Applied Mathematics (AM) , 2014, DOI: 10.4236/am.2014.521321
Abstract: In this paper, we use the mappings with quasi-contractive conditions, defined on a partially ordered set with cone metric structure, to construct convergent sequences and prove that the limits of the constructed sequences are the unique (common) fixed point of the mappings, and give their corollaries. The obtained results improve and generalize the corresponding conclusions in references.
Common Fixed Points of Single and Multivalued Maps in Fuzzy Metric Spaces  [PDF]
Palaniappan Vijayaraju, Zahurullah Mohamed Ibrahim Sajath
Applied Mathematics (AM) , 2011, DOI: 10.4236/am.2011.25079
Abstract: In this paper we introduce the notion of common property (EA) in fuzzy metric spaces. Further we prove some common fixed points theorems for hybrid pair of single and multivalued maps under hybrid contractive conditions. Our results extend previous ones in fuzzy metric spaces.
Common Fixed Point Theorems of Multi-Valued Maps in Ultra Metric Space  [PDF]
Qiulin Wang, Meimei Song
Applied Mathematics (AM) , 2013, DOI: 10.4236/am.2013.42062

We establish some results on coincidence and common fixed point for a two pair of multi-valued and single-valued maps in ultra metric spaces.

New Common Fixed Point Results for Four Maps on Cone Metric Spaces  [PDF]
Yan Han, Shaoyuan Xu
Applied Mathematics (AM) , 2011, DOI: 10.4236/am.2011.29153
Abstract: In this paper, some new existence and uniqueness of common fixed points for four mappings are obtained, which do not satisfy continuity and commutation on non-normal cone metric spaces. These results improve and generalize several well-known comparable results in the literature.
Fixed Point Theorem for Maps Satisfying a General Contractive Condition of Integral Type  [PDF]
  Sumitra, Saurabh Manro
Advances in Pure Mathematics (APM) , 2014, DOI: 10.4236/apm.2014.43013

The aim of this paper is to prove common fixed point theorems for variants of weak compatible maps in a complex valued-metric space. In this paper, we generalize various known results in the literature using (CLRg) property. The concept of (CLRg) does not require a more natural condition of closeness of range.

Common Fixed Points for a Countable Family of Set-Valued Mappings with Quasi-Contractive Conditions on Metrically Convex Spaces  [PDF]
Yuexi Jin, Ailian Jin, Yongjie Piao
Advances in Pure Mathematics (APM) , 2014, DOI: 10.4236/apm.2014.41003

In this paper, we consider a countable family of set-valued mappings satisfying some quasi-contractive conditions. We also construct a sequence by the quasi-contractive conditions of mappings and the boundary condition of a closed subset of a metrically convex space, and then prove that the unique limit of the sequence is the unique common fixed point of the mappings. Finally, we give more generalized common fixed point theorems for a countable family of single-valued mappings. The main results generalize and improve many common fixed point theorems for a finite or countable family of single valued or set-valued mappings with quasi-contractive conditions.

Common Fixed Points for Two Contractive Mappings of Integral Type in Metric Spaces  [PDF]
Xing Jin, Yongjie Piao
Applied Mathematics (AM) , 2015, DOI: 10.4236/am.2015.66093
Abstract: In this paper, we obtain unique common fixed point theorems for two mappings satisfying the variable coefficient linear contraction of integral type and the implicit contraction of integral type respectively in metric spaces.
Some Common Fixed Point Theorems Satisfying Meir-Keeler Type Contractive Conditions  [PDF]
Dinesh Panthi
Open Journal of Discrete Mathematics (OJDM) , 2018, DOI: 10.4236/ojdm.2018.82004
Abstract: In this article, we establish some common fixed point results for two pairs of compatible mappings satisfying Meir-Keeler type contractive conditions in metric space and dislocated metric space which extend and improve some similar fixed point results in the literature.
On a fixed point theorem of Gregu …
Brian Fisher,Salvatore Sessa
International Journal of Mathematics and Mathematical Sciences , 1986, DOI: 10.1155/s0161171286000030
Abstract: We consider two selfmaps T and I of a closed convex subset C of a Banach space X which are weakly commuting in X, i.e. ¢ € –TIx ¢ ’ITx ¢ € – ¢ ‰ ¤ ¢ € –Ix ¢ ’Tx ¢ € – ¢ € ‰ ¢ € ‰ ¢ € ‰for ¢ € ‰ ¢ € ‰ ¢ € ‰any ¢ € ‰ ¢ € ‰ ¢ € ‰x ¢ € ‰ ¢ € ‰ ¢ € ‰in ¢ € ‰ ¢ € ‰ ¢ € ‰X,and satisfy the inequality ¢ € –Tx ¢ ’Ty ¢ € – ¢ ‰ ¤a ¢ € –Ix ¢ ’Iy ¢ € –+(1 ¢ ’a)max{ ¢ € –Tx ¢ ’Ix ¢ € –, ¢ € –Ty ¢ ’Iy ¢ € –}for all x, y in C, where 0 Keywords common fixed point --- Banach space.
A common fixed point theorem for a sequence of fuzzy mappings
B. E. Rhoades
International Journal of Mathematics and Mathematical Sciences , 1995, DOI: 10.1155/s0161171295000561
Abstract: We obtain a common fixed point theorem for a sequence of fuzzy mappings, satisfying a contractive definition more general than that of Lee, Lee, Cho and Kim [2].
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