Some Fixed and Common Fixed Point Theorems in Metric Spaces

1974 ◽  
Vol 17 (2) ◽  
pp. 257-259 ◽  
Author(s):  
V. M. Sehgal
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Image Position ◽  
Common Fixed Point Theorems

Let (X, d) be a metric space and Ti(i=l, 2) be self mappings of X. The purpose of this paper is to investigate the fixed and common fixed points of Ti, when the pair Ti(i=l, 2) satisfies a condition of the following type:(1)

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 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 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.

scholarly journals Common Fixed Points of Two Mappings regarding a Generalized c -Distance over a Banach Algebra

2021 ◽  
Vol 2021 ◽  
pp. 1-5
Author(s):  
Ladan Aryanpour ◽  
Hamidreza Rahimi ◽  
Ghasem Soleimani Rad
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Solid Cone ◽  
Common Fixed Point Theorems ◽  
Type Contraction

In this article, applying the concept of a generalized c -distance in cone b -metric spaces over Banach algebra with a nonnormal solid cone therein, we establish several common fixed point theorems for two noncontinuous mappings satisfying the Han-Xu-type contraction. Our results are interesting, since they are not equivalent to former well-known results regarding a w t -distance in b -metric spaces while they contain recent results corresponding to a generalized c -distance in cone b -metric spaces.

On common fixed points for a family of mappings

1975 ◽  
Vol 13 (2) ◽  
pp. 261-267 ◽  
Author(s):  
S.A. Husain ◽  
V.M. Sehgal
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Complete Metric Space ◽  
Common Fixed Points ◽  
Common Fixed Point Theorems

The purpose of this paper is to obtain some common fixed point theorems for a family of mappings in a complete metric space. The results herein improve some of the recent theorems of Kiyoshi Iséki (Bull. Austral. Math. Soc. 10 (1974), 365–370).

scholarly journals Common fixed point theorems and applications

1997 ◽  
Vol 20 (1) ◽  
pp. 13-18
Author(s):  
Hemant Kumar Pathak ◽  
Shih Sen Chang ◽  
Yeol Je Cho ◽  
Jong Soo Jung
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Common Fixed Point Theorems

The purpose of this paper is to discuss the existence of common fixed points for mappings in general quasi-metric spaces. As applications, some common fixed point theorems for mappings in probabilistic quasi-metric spaces are given. The results presented in this paper generalize some recent results.

scholarly journals Results on common fixed points

2001 ◽  
Vol 27 (12) ◽  
pp. 759-764
Author(s):  
Zeqing Liu ◽  
Jeong Sheok Ume
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Common Fixed Point Theorems

We establish common fixed point theorems related with families of self mappings on metric spaces. Our results extend, improve, and unify the results due to Fisher (1977, 1978, 1979, 1981, 1984), Jungck (1988), and Ohta and Nikaido (1994).

scholarly journals Common fixed points of maps on fuzzy metric spaces

1994 ◽  
Vol 17 (2) ◽  
pp. 253-258 ◽  
Author(s):  
S. N. Mishra ◽  
Nilima Sharma ◽  
S. L. Singh
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Commuting Maps ◽  
Common Fixed Point Theorems

Following Grabiec's approach to fuzzy contraction principle, the purpose of this note is to obtain common fixed point theorems for asymptotically commuting maps on fuzzy metric spaces.

scholarly journals Common fixed points under strict conditions

2020 ◽  
Vol 24 (2) ◽  
pp. 63-70
Author(s):  
Hakima Bouhadjera ◽  
Said Beloul ◽  
Achref Tabet
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
New Concepts ◽  
Common Fixed Point Theorems

In this contribution, three new concepts called reciprocally continuous, strictly subweakly compatible and strictly subreciprocally continuous single and multivalued mappings are given for obtention some common fixed point theorems in a metric space. Our results improve and complement the results of Aliouche and Popa, Azam and Beg, Deshpande and Pathak, Kaneko and Sessa, Popa and others.

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