A general fixed point theorem for hybrid pairs of mappings satisfying a new type of limit range property

• Autorzy: Popa V. , Patriciu A.-M.

Identyfikatory

DOI

10.1515/fascmath-2018-0023

• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

coincidence point; fixed point; hybrid pairs; multi-valued mappings; common limit range property; strict tangential property; altering distance; implicit relation

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2018
• Tom: Nr 61
• Strony: 143--162
• Opis fizyczny: Bibliogr. 43 poz.

Twórcy

autor

Popa V.

• ”Vasile Alecsandri” University of Bacău 157 Calea Mărăşeşti Bacău, 600115, Romania

autor

Patriciu A.-M.

• ”Dunărea De Jos” University of Galaţi Faculty of Sciences and Environment Department of Mathematics and Computer Sciences 111 Domnească Street Galaţi, 800201, Romania

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).