A generalization of Matthews partial metric space and fixed point theorems

• Autorzy: Antal A. , Gairola U. C. , Khantwal D. , Matkowski J. , Negi S.

Identyfikatory

DOI

10.21008/j.0044-4413.2021.0001

• Języki publikacji: EN

Abstrakty

EN

In the present paper, we introduce the notion of a generalized partial metric space which is an extension of the partial metric space due to S. G. Matthews (Partial metric topology, Papers on general topology and applications, Ann. New York Acad. Sci.,728 (1994), 183-197). We investigate some basic properties of the generalized partial metric spaces and establish some new fixed point theorems for linear and non-linear contraction on such spaces.

Słowa kluczowe

EN

fixed point; contraction mapping; metric space; partial metric space

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2021
• Tom: nr 65
• Strony: 5--15
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Antal A.

• Department of Mathematics, H.N.B. Garhwal University, BGR Campus, Pauri Garhwal-246001, Uttarakhand, India

autor

Gairola U. C.

• Department of Mathematics, H.N.B. Garhwal University, BGR Campus, Pauri Garhwal-246001, Uttarakhand, India

autor

Khantwal D.

• Department of Mathematics, Graphic Era Hill University, Dehradun-248002, Uttarakhand, India

autor

Matkowski J.

• Institute of Mathematics, University of Zielona Góra, Szafrana 4A, PL 65-516 Zielona Góra, Poland

autor

Negi S.

• Department of Mathematics, H.N.B. Garhwal University, BGR Campus, Pauri Garhwal-246001, Uttarakhand, India

Bibliografia

• [1] Abdeljawad T., Karapinar E., Tas, K., Existence and uniqueness of a common fixed point on partial metric spaces, Mathematics Letters, 24(11)(2011), 1900-1904.
• [2] Altun I., Erduran A., Fixed point theorems for monotone mappings on partial metric spaces, Fixed Point Theory and Applications, 2011(1)(2011), 508-730.
• [3] Altun I., Sola F., Simsek H., Generalized contractions on partial metric spaces, Topology Appl., 157(18)(2010), 2778-2785 MR 2729337.
• [4] Karapinar E., Generalizations of Caristi Kirk’s theorem on partial metric spaces, Fixed Point Theory and Applications, 2011(1)(2011), 4.
• [5] Karapinar E., Erhan I.M., Fixed point theorems for operators on partial metric spaces, Applied Mathematics Letters, 24(11)(2011), 1894–1899.
• [6] Matthews S.G., Partial metric topology, Papers on general topology and applications (Flushing, NY, 1992), Ann. New York Acad. Sci., vol. 728, New York Acad. Sci., New York, 1994, 183-197. MR 1467773.
• [7] Mykhaylyuk V., Myronyk V., Compactness and completeness in partial metric spaces, Topology and its Application, 270(2020), 106925.
• [8] S. Oltra and O. Valero, Banach’s fixed point theorem for partial metric spaces, Rend. Istit. Mat. Univ. Trieste, 36(1-2)(2004), 17-26, MR 2180067.
• [9] Paesano D., Vetro P., Suzuki’s type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces, Topology and its Applications, 159(3)(2012), 911-920.
• [10] Pasicki L., A strong fixed point theorem, Topology Appl., 282(2020), 107300, 18. MR 4113261.
• [11] Zand M.R.A., Nezhad A.D., A generalization of partial metric spaces, Journal of Contemporary Applied Mathematics-ISSN: 2222-5498, 1(1)(2011).

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).