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1
Content available remote On some fixed point theorems for multivalued F-contractions in partial metric spaces
Kumar Santosh, Luambano Sholastica
Demonstratio Mathematica
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2021
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Vol. 54, nr 1
151--161
EN
Altun et al. explored the existence of fixed points for multivalued F-contractions and proved some fixed point theorems in complete metric spaces. This paper extended the results of Altun et al. in partial metric spaces and proved fixed point theorems for multivalued F-contraction mappings. Some illustrative examples are provided to support our results. Moreover, an application for the existence of a solution of an integral equation is also enunciated, showing the materiality of the obtained results.
2
Content available remote Common fixed point theorems via generalized condition (B) in quasi-partial metric space and applications
Tomar A., Beloul S., Sharma R., Upadhyay S.
Demonstratio Mathematica
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2017
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Vol. 50, nr 1
278--298
EN
The aim of this paper is to introduce generalized condition (B) in a quasi-partial metric space acknowledging the notion of Künzi et al. [Künzi H.-P. A., Pajoohesh H., Schellekens M. P., Partial quasi-metrics, Theoret. Comput. Sci., 2006, 365, 237-246] and Karapinar et al. [Karapinar E., Erhan M., Öztürk A., Fixed point theorems on quasi-partial metric spaces, Math. Comput. Modelling, 2013, 57, 2442-2448] and to establish coincidence and common fixed point theorems for two weakly compatible pairs of self mappings. In the sequel we also answer a rmatively two open problems posed by Abbas, Babu and Alemayehu [Abbas M., Babu G. V. R., Alemayehu G. N., On common fixed points of weakly compatible mappings satisfying generalized condition (B), Filomat, 2011, 25(2), 9-19]. Further in the setting of a quasi-partial metric space, the results obtained are utilized to establish the existence and uniqueness of a solution of the integral equation and the functional equation arising in dynamic programming. Our results are also justified by explanatory examples supported with pictographic validations to demonstrate the authenticity of the postulates.
3
Content available remote Common fixed point theorems for mappings under (CLRS)-property in partial metric spaces
Rao K. P. R., Imdad M., Siva Parvathi K. V.
Demonstratio Mathematica
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2016
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Vol. 49, nr 3
357--371
EN
In this paper, we introduce the concept of (CLRS)-property for mappings F : X x X → X and S : X → X (wherein X stands for a partial metric space) and utilize the same to prove two common fixed point theorems for two pairs of mappings in partial metric spaces. We also furnish two examples to illustrate our main theorems.
4
Content available remote A Suzuki type unique common fixed point theorem for two pairs of hybrid maps under a new condition in partial metric spaces
Rao K. P. R., Rao K. R. K., Imdad M.
Demonstratio Mathematica
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2016
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Vol. 49, nr 1
79--94
EN
In this paper, we introduce a new condition namely: condition (W.C.C.) and utilize the same to prove a Suzuki type unique common fixed point theorem for two hybrid pairs of mappings in partial metric spaces employing the partial Hausdorff metric which generalizes several known results of the existing literature proved in metric and partial metric spaces.
5
Content available remote Unique common fixed point theorems for pairs of hybrid maps under a new condition in partial metric spaces
Rao K. P. R., Rao K. R. K.
Demonstratio Mathematica
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2014
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Vol. 47, nr 3
714--724
EN
In this paper, we introduce a new condition namely, ‘condition (W.C.C)’ and obtain two unique common fixed point theorems for pairs of hybrid mappings on a partial Hausdorff metric space without using any continuity and commutativity of the mappings.
6
Content available remote A common fixed point result by altering distances involving a contractive condition of integral type in partial metric spaces
Aydi H.
Demonstratio Mathematica
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2013
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Vol. 46, nr 2
383--394
EN
In this paper, we present a common fixed point theorem by altering distances for a contractive condition of integral type in partial metric spaces.
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