A general coincidence and fixed point theorem for hybrid pairs of mappings satisfying a common coincidence range property

• Autorzy: Popa V. , Patriciu A.-M.

Identyfikatory

DOI

10.1515/fascmath-2017-0010

• Języki publikacji: EN

Abstrakty

EN

In this paper the notion of common coincidence range property is introduced and a general coincidence and fixed point theorem is proved. As applications, new results for mappings satisfying a contractive condition of integral type and for mappings satisfying a φ-contractive condition are obtained.

Słowa kluczowe

EN

coincidence point; fixed point; hybrid pairs; common coincidence range property; implicit relation; weakly altering distance

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2017
• Tom: Nr 58
• Strony: 145--154
• Opis fizyczny: Bibliogr. 20 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 Galat¸i, Faculty of Sciences and Environment, Department of Mathematics and Computer Sciences, 111 Domnească Street, Galaţ, 800201, Romania

Bibliografia

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• [3] Imdad M., Ahmad A., Kumar S., On nonlinear non-self hybrid contractions, Rad. Mat., 10(2)(2001), 233-244.
• [4] Imdad M., Chauhan S., Soliman A.H., Ahmed M.A., Hybrid fixed point theorems in symmetric spaces via common limit range property, Demonstr. Math., 47(4)(2014), 949-962.
• [5] Imdad M., Chauhan S., Kumam P., Fixed point theorems for two hybrid pairs of non-self mappings under joint common limit range property in metric spaces, J. Nonlinear Convex Anal., 16(2)(2015), 243-254.
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• [8] Pathak H.K., Rodriguez-López R., Noncommutativity of mappings in hybrid fixed point results, Bound. Value Prob., 145(2013).
• [9] Popa V., Fixed point theorems for implicit contractive mappings, Stud. Cercet. Ştiinţ., Ser. Mat., Univ. Bacău 7(1997), 129-133.
• [10] Popa V., Some fixed point theorem for compatible mappings satisfying an implicit relation, Demonstr. Math., 32(1)(1999), 157-163.
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• [15] Popa V., A general coincidence and common fixed theorem for two hybrid pairs of mappings, Demonstr. Math., 47(4)(2014), 971-978.
• [16] Popa V., Mocanu M., Altering distance and common fixed points under implicit relations, Hacet. J. Math. Stat., 38(3)(2009), 329-337.
• [17] Rhoades B.E., Two fixed point theorems for mappings satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci., 63(2003), 4007-4013.
• [18] Sastry K.P.R., Babu G.V.R., Fixed point theorems in metric spaces by altering distances, Bull. Calcutta Math. Soc., 90(3)(1998), 175-182.
• [19] Sastry K.P.R., Babu G.V.R., Some fixed point theorems by altering distances between the points, Indian J. Pure Appl. Math., 30(6)(1999), 641-647.
• [20] Sintunavarat W., Kumam P., Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces, Appl. Math. 2011(2011), Article ID 637958, 14 pages.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).