A General Fixed Point Theorem For Implicit Cyclic Multi-Valued Contraction Mappings

• Autorzy: Valeriu Popa
• Języki publikacji: EN

Abstrakty

EN

In this paper, a general fixed point theorem for cyclic multi-valued mappings satisfying an implicit relation from [19] different from implicit relations used in [13] and [23], generalizing some results from [22], [15], [13], [14], [16], [10] and from other papers, is proved.

Słowa kluczowe

EN

fixed point; multi-valued function; cyclical contraction; implicit relation

Kategorie tematyczne

• 47H10: Fixed-point theorems
• 54H25: Fixed-point and coincidence theorems

• Wydawca: De Gruyter Open
• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2015
• Tom: 29
• Numer: 1
• Strony: 119-129

Daty

wydano

2015-09-01

otrzymano

2015-03-18

poprawiono

2015-07-02

online

2015-09-30

Twórcy

autor

Valeriu Popa

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

Bibliografia

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• [17] Popa V., Some fixed point theorems for implicit contractive mappings, Stud. Cercet. Ştiinţ., Ser. Mat., Univ. Bacău 7 (1997), 129–133.
• [18] Popa V., Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math. 32 (1999), no. 1, 157–163.
• [19] Popa V., A general fixed point theorem for weakly commuting multi-valued mappings, Anal. Univ. Dunărea de Jos, Galaţi, Ser. Mat. Fiz. Mec. Teor., Fasc. II 18 (22) (1999), 19–22.
• [20] Popa V., A general coincidence theorem for compatible multivalued mappings satisfying an implicit relation, Demonstratio Math. 33 (2000), no. 1, 159–164.
• [21] Reich S., Some remarks concerning contraction mappings, Canad. Math. Bull. 14 (1971), 121–124.[Crossref]
• [22] Rus I.A., Cyclic representations of fixed points, Ann. Tiberiu Popoviciu, Semin. Funct. Equ. Approx. Convexity 3 (2005), 171–178.
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Identyfikatory

DOI

10.1515/amsil-2015-0009