scholarly journals Common fixed points of single-valued and multivalued maps

2005 ◽  
Vol 2005 (19) ◽  
pp. 3045-3055 ◽  
Author(s):  
Yicheng Liu ◽  
Jun Wu ◽  
Zhixiang Li
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Partial Answer ◽  
Multivalued Maps ◽  
Hybrid Pair ◽  
Common Fixed Point Theorems

We define a new property which contains the property (EA) for a hybrid pair of single- and multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. As an application, we give a partial answer to the problem raised by Singh and Mishra.

scholarly journals Some common fixed point theorems for contractive maps and applications

Filomat ◽  
2018 ◽  
Vol 32 (10) ◽  
pp. 3751-3758
Author(s):  
Bharti Joshi ◽  
S.K. Padaliya ◽  
N.K. Pandey
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Type Mapping ◽  
Hybrid Pair ◽  
Contractive Maps ◽  
Common Fixed Point Theorems

The aim of this paper is to obtain some new fixed point theorems for single valued mappings and also for hybrid pair of mappings. Our results extend and generalize well known results due to Aamri and El Moutawakil, Sintunavarat and Kumam, Kadelburg et al., and Kamran; and also generalize and rectify some recent results due to Bisht [On Existence of common fixed points under Lipschitz-Type Mapping pairs with Applications, Numer. Func. Anal. Optim. 38(11), 2017, 1446-1457].

scholarly journals On coincidence and common fixed points of nearly densifying mappings

2000 ◽  
Vol 24 (9) ◽  
pp. 627-641
Author(s):  
Zeqing Liu ◽  
Jeong Sheok Ume
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Common Fixed Point Theorems

Coincidence and common fixed point theorems for certain new classes of nearly densifying mappings are established. Our results extend, improve, and unify a lot of previously known theorems.

scholarly journals Common fixed points under contractive conditions of integral type

2020 ◽  
Vol 28 (1) ◽  
pp. 41-57
Author(s):  
Hakima Bouhadjera
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Integral Type ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

AbstractIn this paper, we give some common fixed point theorems for a class of occasionally weakly compatible mappings satisfying contractive conditions of integral type. Our results generalize a host of previously theorems. We also present some illustrative examples which support our main results and show the applicability and validity of these results.

scholarly journals Common fixed points under Lipschitz type condition

1970 ◽  
Vol 7 (1) ◽  
pp. 74-78
Author(s):  
Vyomesh Pant
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Key Words And Phrases ◽  
Type Condition ◽  
Type Mapping ◽  
Common Fixed Point Theorems ◽  
Weak Commutativity

The present paper is aimed at obtaining common fixed point theorems for a pair of selfmaps satisfying nonexpansive or Lipschitz type condition by using the notion of pointwise R- weak commutativity but without assuming the completeness of the space or continuity of the mappings involved. Mathematics Subject Classification: 54 H 25. Key Words and Phrases: Lipschitz type mapping pairs, nonexpansive conditions, noncompatible mappings, Pointwise R-weak commutativity, contractive conditions. DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5424 KUSET 2011; 7(1): 74-78

scholarly journals Common Fixed Points for Weakψ-Contractive Mappings in Ordered Metric Spaces with Applications

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Sumit Chandok ◽  
Simona Dinu
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Ordered Metric Spaces ◽  
Contractive Mappings ◽  
Common Fixed Point Theorems

We obtain some new common fixed point theorems satisfying a weak contractive condition in the framework of partially ordered metric spaces. The main result generalizes and extends some known results given by some authors in the literature.

scholarly journals On common fixed points of pairs of a single and a multivalued coincidentally commuting mappings inD-metric spaces

2003 ◽  
Vol 2003 (40) ◽  
pp. 2519-2539
Author(s):  
B. C. Dhage ◽  
A. Jennifer Asha ◽  
S. M. Kang
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Generalized Contraction ◽  
Contraction Condition ◽  
Common Fixed Point Theorems ◽  
Commuting Mappings

The present paper studies some common fixed-point theorems for pairs of a single-valued and a multivalued coincidentally commuting mappings inD-metric spaces satisfying a certain generalized contraction condition. Our result generalizes more than a dozen known fixed-point theorems inD-metric spaces including those of Dhage (2000) and Rhoades (1996).

scholarly journals Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions

2018 ◽  
Vol 2018 ◽  
pp. 1-6
Author(s):  
Shazia Kanwal ◽  
Akbar Azam
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Complete Metric Space ◽  
Hausdorff Metric ◽  
Intuitionistic Fuzzy Set ◽  
Common Fixed Points ◽  
Intuitionistic Fuzzy ◽  
Common Fixed Point Theorems

The main purpose of this paper is to establish and prove some new common fixed point theorems for intuitionistic fuzzy maps in the context of (α,β)-cut sets of intuitionistic fuzzy sets on a complete metric space in association with the Hausdorff metric. Furthermore, the technique of Meir-Keeler (shortly, M-K) contraction is applied to obtain common fixed point of intuitionistic fuzzy compatible maps and fixed points of Kannan type intuitionistic fuzzy set-valued contractive mappings. Our results generalize M-K type fixed point theorem along with its various generalizations. Some nontrivial examples have been furnished in the support of the main results.

scholarly journals Common Fixed Points of Four Maps SatisfyingF-Contraction onb-Metric Spaces

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Muhammad Nazam ◽  
Ma Zhenhua ◽  
Sami Ullah Khan ◽  
Muhammad Arshad
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Common Fixed Point Theorems

We manifest some common fixed point theorems for four maps satisfying Círíc typeF-contraction and Hardy-Rogers typeF-contraction defined on completeb-metric spaces. We apply these results to infer several new and old corresponding results. These results also generalize some results obtained previously. We dispense examples to validate our results.

scholarly journals Common fixed points for nonexpansive type fuzzy mappings

1995 ◽  
Vol 18 (4) ◽  
pp. 813-818
Author(s):  
Byung Soo Lee ◽  
Do Sang Kim ◽  
Gue Myung Lee ◽  
Sung Jin Cho
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Common Fixed Point Theorems

In this paper we defineg-nonexpansive andg-nonexpansive type fuzzy mappings and prove common fixed point theorems for sequences of fuzzy mappings satisfying certain conditions on a Banach space. Thus we obtain fixed point theorems for nonexpansive type multi-valued mappings.

scholarly journals Some common fixed point theorems in vector metric spaces

Filomat ◽  
2011 ◽  
Vol 25 (1) ◽  
pp. 105-113 ◽  
Author(s):  
Ishak Altun ◽  
Cüneyt Çevik
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Point Of Coincidence ◽  
Common Fixed Point Theorems

In this paper we give some theorems on point of coincidence and common fixed points for two self mappings satisfying some general contractive conditions in vector metric spaces. Our results generalize some well-known recent results.

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