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1
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.
2
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.
3
Content available remote Common fixed point results for six maps on cone metric spaces with some weaker conditions
Deshpande B.
Fasciculi Mathematici
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2010
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Nr 43
33-43
EN
The existence of coincidence points and common fixed points for six mappings satisfying certain contractive conditions without exploiting the notion of continuity in cone metric spaces is established. Our results generalize, improve and extend several well known comparable results in the literature.
4
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].
5
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.
6
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.
7
Content available remote Coincidence point for noncompatible multivalued maps satisfying implicit relation
Kubiaczyk I., Deshpande B.
Demonstratio Mathematica
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2006
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Vol. 39, nr 4
855-862
EN
In this paper we prove a common coincidence point theorem for single- valued and multivalued mappings satisfying an implicit relation under the condition of R-weak commutativity on metric spaces.
8
Content available remote Discontinuity and weak compatibility in fixed point consideration of Gregus type in convex metric spaces
Sharma S., Deshpande B.
Fasciculi Mathematici
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2005
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Nr 36
91-101
9
Content available remote Common fixed points of compatible maps of type (beta) on fuzzy metric spaces
Sharma S., Deshpande B.
Demonstratio Mathematica
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2002
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Vol. 35, nr 1
165-174
EN
In this paper, we prove a common fixed point theorem for six mappings under the condition of compatible mappings of type (beta) on fuzzy metric spaces. We extend, generalize and fuzzify several fixed point theorems on metric spaces, Menger probabilistic metric spaces, uniform spaces and fuzzy metric spaces.
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