On common fixed point theorems for non-self hybrid mappings in convex metric spaces

2009 ◽  
Vol 208 (1) ◽  
pp. 90-97 ◽  
Author(s):  
Ljubomir Ćirić ◽  
Nenad Cakić
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Convex Metric Spaces ◽  
Common Fixed Point Theorems

scholarly journals Some common fixed point theorems for Ciric type contraction mappings

2012 ◽  
Vol 43 (2) ◽  
pp. 187-202
Author(s):  
Sumit Chandok
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Invariant Approximation ◽  
Convex Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Type Contraction

Some common fixed point theorems for \'{C}iri\'{c} type contraction mappings have been obtained in convex metric spaces. As applications, invariant approximation results for these type of mappings are obtained. The proved results generalize, unify and extend some of the results of the literature.

scholarly journals Note on Common Fixed Point Theorems in Convex Metric Spaces

Axioms ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 28
Author(s):  
Anil Kumar ◽  
Aysegul Tas
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Convex Metric Space ◽  
Correct Version ◽  
Convex Metric Spaces ◽  
Set Up ◽  
Common Fixed Point Theorems

In the present paper, we pointed out that there is a gap in the proof of the main result of Rouzkard et al. (The Bulletin of the Belgian Mathematical Society 2012). Then after, utilizing the concept of (E.A.) property in convex metric space, we obtained an alternative and correct version of this result. Finally, it is clarified that in the theory of common fixed point, the notion of (E.A.) property in the set up of convex metric space develops some new dimensions in comparison to the hypothesis that a range set of one map is contained in the range set of another map.

scholarly journals Common fixed point theorems for nonself-mappings in metrically convex spaces via altering distances

2005 ◽  
Vol 2005 (24) ◽  
pp. 4029-4039 ◽  
Author(s):  
M. Imdad ◽  
Ladlay Khan
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Convex Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Convex Spaces

Some common fixed point theorems for a pair of nonself-mappings in complete metrically convex metric spaces are proved by alte ring distances between the points, which generalize earlier results due to M. D. Khan and Bharadwaj (2001), M. S. Khan et al. (2000), Bianchini (1972), Chatterjea 1972, and others. Some related results are also discussed besides furnishing an illustrative example.

Some Common Fixed Point Theorem in Complete Metric Space of Integral Type

2018 ◽  
Vol 6 (8) ◽  
pp. 297
Author(s):  
Jagdish C. Chaudhary ◽  
Shailesh T. Patel
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Contractive Condition ◽  
Integral Type ◽  
Complete Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral  type.

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