Common fixed point theorems for mappings under (CLRS)-property in partial metric spaces

• Autorzy: Rao K. P. R. , Imdad M. , Siva Parvathi K. V.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce the concept of (CLRS)-property for mappings F : X x X → X and S : X → X (wherein X stands for a partial metric space) and utilize the same to prove two common fixed point theorems for two pairs of mappings in partial metric spaces. We also furnish two examples to illustrate our main theorems.

Słowa kluczowe

EN

partial metric space; (CLRS)-property; w-compatible mappings

PL

przestrzeń metryczna częściowa; odwzorowania

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2016
• Tom: Vol. 49, nr 3
• Strony: 357--371
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Rao K. P. R.

• Department of Mathematics Acharya Nagarjuna University Nagarjuna Nagar-522 510, A.P., India

autor

Imdad M.

• Department of Mathematics Aligarh Muslim University Aligarh-202 002, U.P, India

autor

Siva Parvathi K. V.

• Department of Applied Mathematics Krishna University-M.R. Appa Row P.G. Center Nuzvid-521 201, Andhra Pradesh, India

Bibliografia

• [1] M. Aamri, El. Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002), 181–188.
• [2] M. Abbas, M. Ali Khan, S. Radenovic, Common coupled fixed point theorems in cone metric spaces for w-compatible mappings, Appl. Math. Comput. 217(1) (2010), 195–202.
• [3] S. G. Matthews, Partial metric topology, Proc. 8th Summer conference on General Topology and Applications, Ann. New York Acad. Sci., vol. 728, 1994, 183–197.
• [4] T. Abdeljawad, E. Karapinar, K. Tas, Existence and uniqueness of a common fixed point on partial metric spaces, Appl. Math. Lett. 24(11) (2011), 1900–1904.
• [5] T. G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered cone metric spaces and applications, Nonlinear Anal. 65(7) (2006), 1379–1393.
• [6] T. Nazir, M. Abbas, Common fixed points of two pairs of mappings satisfying (E.A)-property in partial metric spaces, J. Inequal. Appl., 2014, doi:10.1186/1029-242X-2014-237, 12 pages.
• [7] V. Lakshmikantham, Lj. Círić, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70(12) (2009), 4341–4349.
• [8] W. Sintunavarat, P. Kumam, Common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space, J. Appl. Math., vol. 2011 (2011), Artical ID: 637958, 14 pages.

Uwagi

PL

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