FIXED POINT OF MAPPINGS OF PEROV TYPE FORw-CONE DISTANCE

In this paper, we investigate fixed points of mappings of Perov type for w-cone distance. Many results of Ćiric, Lakzian and Rakočević, Suzuki and Takahashi, Abbas and Rhoades, Pathak and Shahzad and Raja and Veazpour are generalized. Our results could not be obtained by Du’s scalarization method be...

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Bibliographic Details
Published in:Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques Classe des sciences mathématiques et naturelles. Sciences mathématiques, 2015-01 (40), p.59-74
Main Authors: CVETKOVIĆ, MARIJA, RAKOČEVIĆ, VLADIMIR
Format: Article
Language:English
Subjects:
Banach space
Continuous functions
Diagonal lemma
Linear transformations
Mathematical theorems
Mathematics
Metric spaces
Online Access:Get full text
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Summary:In this paper, we investigate fixed points of mappings of Perov type for w-cone distance. Many results of Ćiric, Lakzian and Rakočević, Suzuki and Takahashi, Abbas and Rhoades, Pathak and Shahzad and Raja and Veazpour are generalized. Our results could not be obtained by Du’s scalarization method because, in our case, contractive constant is replaced by an operator.
ISSN:0561-7332
2406-0909