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1
Content available remote A general fixed point theorem for hybrid pairs of mappings satisfying a new type of limit range property
Popa V., Patriciu A.-M.
Fasciculi Mathematici
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2018
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Nr 61
143--162
EN
In this paper a new type of common limit range property is introduced, which generalizes the notion of strongly tangential property [9] and joint common limit range property [16]. A general fixed point theorem for two pairs of hybrid mappings involving altering distance and satisfying an implicit relation is proved, generalizing the results from [9], [16] and other papers. As application, we obtain new results for contractive mappings satisfying a contractive condition of integral type, for mappings satisfying ф - contractive conditions and satisfying (ψ, ф) - contractive conditions.
2
Content available remote A general coincidence and fixed point theorem for hybrid pairs of mappings satisfying a common coincidence range property
Popa V., Patriciu A.-M.
Fasciculi Mathematici
|
2017
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Nr 58
145--154
EN
In this paper the notion of common coincidence range property is introduced and a general coincidence and fixed point theorem is proved. As applications, new results for mappings satisfying a contractive condition of integral type and for mappings satisfying a φ-contractive condition are obtained.
3
Content available remote Note on strict contractive conditions and common fixed point theorems with application
Bisht R. K.
Demonstratio Mathematica
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2017
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Vol. 50, nr 1
116--118
EN
In this note we point out errors in the proofs of first two theorems contained in Demonstratio Mathematica, Vol. XLVI, no 2, 2013, 405-413. We also rectify the erratic theorems by employing a proper setting.
4
Content available remote Two generalized common fixed point theorems involving compatibility and property E.A.
Phaneendra T., Prasad V. S. R.
Demonstratio Mathematica
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2014
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Vol. 47, nr 2
449--458
EN
We prove two generalizations: the first to Das and Naik’s theorem for a pair of compatible maps without continuity; and the next as an extension of our first result to three self-maps on a metric space X without compatibility, under a stronger contraction type inequality and restricting the completeness of X to its subspace. The latter is a significant generalization of a recent result of Pant et al.
5
Content available remote Hybrid fixed point theorems in symmetric spaces via common limit range property
Imdad M., Chauhan S., Soliman A. H., Ahmed M. A.
Demonstratio Mathematica
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2014
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Vol. 47, nr 4
949--962
EN
In this paper, we point out that some recent results of Vijaywar et al. (Coincidence and common fixed point theorems for hybrid contractions in symmetric spaces, Demonstratio Math. 45 (2012), 611–620) are not true in their present form. With a view to prove corrected and improved versions of such results, we introduce the notion of common limit range property for a hybrid pair of mappings and utilize the same to obtain some coincidence and fixed point results for mappings defined on an arbitrary set with values in symmetric (semi-metric) spaces. Our results improve, generalize and extend some results of the existing literature especially due to Imdad et al., Javid and Imdad, Vijaywar et al. and some others. Some illustrative examples to highlight the realized improvements are also furnished.
6
Content available remote A general coincidence and common fixed point theorem for two hybrid pairs of mappings
Popa V.
Demonstratio Mathematica
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2014
|
Vol. 47, nr 4
971--978
EN
In this paper, a general coincidence and common fixed points theorem for two hybrid pairs of mappings satisfying property (E.A) is proved, generalizing the main results from [3] and [9].
7
Content available remote Fixed point theorems for noncompatible, discontinuous hybrid pairs of mappings on 2-metric spaces
Deshpande B., Pathak R.
Demonstratio Mathematica
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2012
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Vol. 45, nr 1
143-154
EN
In this paper, we prove some fixed point theorems for two hybrid pairs of mappings in 2-metric spaces by using some weaker conditions.
8
Content available remote Common fixed point theorems for hybrid pairs of mappings with some weaker conditions in 2-metric spaces
Deshpande B., Chouhan S.
Fasciculi Mathematici
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2011
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Nr 46
37--55
EN
In this paper, we prove common xed point theorems for hybrid pairs of mappings satisfying an implicit relation in 2-metric spaces by using a new commutativity condition i.e. weak commutativity of type (KB). We also prove common xed point theorem, of Gregus type for hybrid pairs of maps by using weak commutativity of type (KB) in 2-metric spaces. We extend, improve and generalize many known results. We also give examples to validate our results.
9
Content available remote Comments on the paper "Coincidence theorems for some multivalued mappings" by B. E. Rhoades, S. L. Singh and Chitra Kulshrestha
Samet S., Vetro C
Fasciculi Mathematici
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2011
|
Nr 47
89--94
EN
The aim of this note is to point out an error in the proof of Theorem 1 in the paper entitled "Coincidence theorems for some multivalued mappings" by B. E. Rhoades, S. L. Singh and Chitra Kulshrestha [Internat. J. Math.& Math. Sci., 7(1984), 429-434], and to indicate a way to repair it.
10
Content available remote Common fixed point theorems for hybrid pairs of mappings with some weaker conditions
Sharma S., Deshpande B., Pathak R.
Fasciculi Mathematici
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2008
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Nr 39
71-86
EN
In this paper, we prove a common fixed point theorem for hybrid pairs of set and single valued mappings without assuming compatibility and continuity of any mapping on noncomplete metric spaces. To prove the theorem, we use a noncompatible condition, that is, weak commutativity of type (KB). We show that completeness of the whole space is not necessary for the existence of common fixed point. Our result improves, extends and generalizes the results of Fisher [5], Sastry and Naidu [18]. We give an example to validate our result. We also prove a common fixed point theorem on compact metric spaces. At the end, we improve our theorem by omitting the assumption of compactness. We also improve and generalize the results of Ahmed [2] and Fisher [5].
11
Content available remote Common fixed point, best approximation and generalized f-weak contraction multivalued mapping in p-normed spaces
Abbas M., Rhoades B.
Demonstratio Mathematica
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2008
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Vol. 41, nr 1
137-144
EN
We establish coincidence point and common fixed point results for multivalued f-weak contraction mappings which assume closed values only. As an application, related common fixed point and invariant approximation are obtained in the setup of certain metrizable topological vector spaces. Our results provide extensions as well as substantial improvements of several well known results in the literature.
12
Content available remote Common of fixed point of multivalued mappings without continuity
Kubiaczyk I., Deshpande B.
Fasciculi Mathematici
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2007
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Nr 37
19-26
EN
In this paper, we prove a common fixed point theorem for single-valued and multivalued mappings on a metric space using the minimal type commutativity condition. We show that continuity of any mapping is not necessary for the existence of a common fixed point.
13
Content available remote Fixed point theorems for set nd single valued maps witout continuity and compatibility
Sharma S., Deshpande B.
Demonstratio Mathematica
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2007
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Vol. 40, nr 3
649-658
EN
The new concept of weak commutativity of type (KB) is used to prove some fixed point theorems for set and single-valued mappings. We show that continuity of any mapping is not necessary for the existence of common fixed point. We also show that completeness of the whole space can be replaced by a weaker condition.
14
Content available remote Coincidence points for multivalued maps on non-starsharped domain
Hussain N.
Demonstratio Mathematica
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2006
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Vol. 39, nr 3
579-584
EN
We improve recent results of Shahzad [Demonstratio Math. 36 (2003), 427-431].
15
Content available remote Fixed points of asymptotically regular noncompatible maps
Kamran T.
Demonstratio Mathematica
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2005
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Vol. 38, nr 2
485--494
EN
The concept of R-weakly commutativity of type A for single-valued mapping is extended to multivalued mappings. The structure of common fixed points and coincidence points of a pair of R-weakly commuting multivalued mappings of type A is also discussed.
16
Content available remote Coincidence points of weakly inward f-conractions
Shahzad N.
Demonstratio Mathematica
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2003
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Vol. 36, nr 1
171--177
EN
Some coincidence point theorems for weakly inward multivalued f-contractions are proved. Thus several related results in the literature are either extended or improved.
17
Content available remote Coincidence points and R-subweakly commuting multivalued maps
Shahzad N.
Demonstratio Mathematica
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2003
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Vol. 36, nr 2
427--431
EN
The notion of R-subweakly commuting multivalued mappings is defined. Some coincidence point theorems for such mappings are proved. Thus several related results in the literature are extended to a new class of noncommuting mappings.
18
Content available remote A general coincidence theorem for compatible multivalued mappings satisfying an implicit relation
Popa V.
Demonstratio Mathematica
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2000
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Vol. 33, nr 1
159-164
19
Content available remote Coincidence theorems in random normed spaces
Bylka C.
Fasciculi Mathematici
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1998
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Nr 28
9-18
EN
A pro.babilistic versuion of Meir and Keeler fixed point theorem and a generalization of Park' s coincidence theorem in random normed spaces are presented.
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