An alternative and easy approach to fixed point results via simulation functions

• Autorzy: Radenović S. , Vetro F. , Vujaković J.

Identyfikatory

DOI

10.1515/dema-2017-0022

• Języki publikacji: EN

Abstrakty

EN

We discuss, extend, improve and enrich results on simulation functions established by several authors. Furthermore, by using Lemma 2.1 of Radenović et al. [Bull. Iran. Math. Soc., 2012, 38, 625], we get much shorter and nicer proofs than the corresponding ones in the existing literature.

Słowa kluczowe

EN

simulation function; Z-contraction; point of coincidence; common fixed point; weakly compatible; α-admissible Z-contraction

PL

funkcja; kontrakcja; punkt koincydencji; wspólny punkt stały; kompatybilność niska

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2017
• Tom: Vol. 50, nr 1
• Strony: 223--230
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Radenović S.

• Nonlinear Analysis Research Group,Ton Duc Thang University, Ho Chi Minh City, Vietnam
• Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

autor

Vetro F.

• Department of Energy, Information Engineering and Mathematical Models (DEIM), University of Palermo, Viale Delle Scienze ed. 8, 90128, Palermo, Italy

autor

Vujaković J.

• Faculty of Sciences and Mathematics, University of Priština, Lole Ribara 29, Kosovska Mitrovica, 38220, Serbia

Bibliografia

• [1] Khojasteh F., Shukla S., Radenović S., A new approach to the study of fixed point theorems via simulation functions, Filomat, 2015, 29, 1189–1194
• [2] Nastasi A., Vetro P., Fixed point results on metric and partial metrric spaces via simulations functions, J. Nonlinear Sci. Appl., 2015, 8, 1059–1069
• [3] Roldán-López-de-Hierro A. F., Karapinar E., Roldán-López-de-Hierro C., Martínez-Moreno J., Coincidence point theorems on metric spaces via simulation functions, J. Comput. Appl. Math., 2015, 275, 345–355
• [4] Demma M., Saadati R., Vetro P., Fixed point results on b-metric space via Picard sequences and b-simulation functions, Iranian J. Math. Sci. Infor., 2016, 11, 123–136
• [5] Nastasi A., Vetro P., Existence and uniqueness for a first-order periodic differential problem via fixed point results, Results Math., 2017, 71, 889–909
• [6] Tchier F., Vetro C., Vetro F., Best approximation and variational inequality problems involving a simulation function, Fixed Point Theory Appl., 2016, 2016:26
• [7] Karapinar E., Fixed points results via simulation functions, Filomat, 2016, 30, 2343–2350
• [8] Popescu O., Some new fixed point theorems for α-Geraghty contractive type maps in metric spaces, Fixed Point Theory Appl., 2014, 2014:190
• [9] Radenović S., Kadelburg Z., Jandrlić D., Jandrlić A., Some results on weakly contractive maps, Bull. Iran. Math. Soc., 2012, 38, 625–645
• [10] Argoubi H., Samet S., Vetro C., Nonlinear contractions involving simulation functions in a metric space with a partial order, J. Nonlinear Sci. Appl., 2015, 8, 1082–1094
• [11] Geraghty M., On contractive mappings, Proc. Am. Math. Soc., 1973, 40, 604–608

Uwagi

PL

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