An admissible hybrid contraction with an Ulam type stability

• Autorzy: Karapınar Erdal , Fulga Andreea

Identyfikatory

DOI

10.1515/dema-2019-0037

• Języki publikacji: EN

Abstrakty

EN

In this manuscript, we introduce a new hybrid contraction that unify several nonlinear and linear contractions in the set-up of a complete metric space. We present an example to indicate the genuine of the proved result. In addition, we consider Ulam type stability and well-posedness for this new hybrid contraction.

Słowa kluczowe

EN

admissible mapping; hybrid contraction; fixed point; metric space

PL

odwzorowanie dopuszczalne; kontrakcja; punkt stały; przestrzeń metryczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2019
• Tom: Vol. 52, nr 1
• Strony: 428--436
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Karapınar Erdal

• Department of Medical Research, China Medical University Hospital, 40402,Taichung, Taiwan

autor

Fulga Andreea

• Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500091, Brasov, Romania

Bibliografia

• [1] Rus I. A., Generalized Contractions and Applications, Cluj University Press: Clui-Napoca, Romania, 2001
• [2] Bianchini R. M., Grandolfi M., Transformazioni di tipo contracttivo generalizzato in uno spazio metrico, Atti Acad. Naz. Lincei, VII. Ser. Rend. Cl. Sci. Fis. Mat. Natur., 1968, 45, 212-216
• [3] Popescu O., Some new fixed point theorems for α-Geraghty contractive type maps in metric spaces, Fixed Point Theory Appl., 2014, 2014:190
• [4] Agarwal R. P., Karapinar E., Interpolative Rus-Reich-Ćirić type contractions via simulation functions, An. St. Univ. Ovidius Constanta, Ser. Mat., (in press)
• [5] Aydi H., Chen C. M., Karapinar E., Interpolative Ćirić-Reich-Rus type contractions via the Branciari distance, Mathematics, 2019, 7(1), 84
• [6] Aydi H., Karapinar E., Roldan Lopez de Hierro A. F., ω-interpolative Ćirić-Reich-Rus-type contractions, Mathematics, 2019, 7(1), 57
• [7] Karapinar E., Alqahtani O., Aydi H., On interpolative Hardy-Rogers type contractions, Symmetry, 2019, 11(1), 8
• [8] Karapinar E., Revisiting the Kannan type contractions via interpolation, Adv. Theory Nonlinear Anal. Appl., 2018, 2, 85-87
• [9] Karapinar E., Agarwal R., Aydi H., Interpolative Reich-Rus-Ćirić type contractions on partial metric spaces, Mathematics,2018, 6, 256
• [10] Ulam S. M., Problems in Modern Mathematics, John Wiley and Sons, New York, NY, USA, 1940
• [11] Ulam S. M., A Collection of Mathematical Problems, Interscience, New York, NY, USA, 1968
• [12] Hyers D. H., On the stability of linear functional equations, Proc. Natl. Acad. Sci., USA, 1941, 27, 222-224
• [13] Rassias T. M., On the stability of linear mapping in Banach Spaces, Proc. Am. Math. Soc., 1978, 72, 297-300

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).