FG-coupled fixed point theorems for contractive type mappings in partially ordered metric spaces

• Autorzy: Karichery D. , Pulickakunnel S.

Identyfikatory

DOI

10.7862/rf.2018.11

• Języki publikacji: EN

Abstrakty

EN

In this paper we prove FG-coupled fixed point theorems for Kannan, Reich and Chatterjea type mappings in partially ordered complete metric spaces using mixed monotone property.

Słowa kluczowe

EN

FG-coupled fixed point; mixed monotone property; contractive type mappings; partially ordered space

PL

punkt stały; właściwość monotoniczna; przestrzeń częściowo uporządkowana

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2018
• Tom: Vol. 41
• Strony: 157--170
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Karichery D.

• Department of Mathematics, Central University of Kerala, India - 671316

autor

Pulickakunnel S.

• Department of Mathematics, Central University of Kerala, India - 671316

Bibliografia

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• [2] M. Arshad, A. Shoaib, M. Abbas, A. Azam, Fixed points of a pair of Kannan type mappings on a closed ball in ordered partial metric spaces, Miskolc Mathematical Notes 14 (3) (2013) 769-784.
• [3] T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (7) (2006) 1379-1393.
• [4] S.K. Chatterjea, Fixed point theorems, C.R. Acad. Bulgare Sci. 25 (1972) 727-730.
• [5] B.S. Choudhury, P. Maity, Cyclic coupled fixed point result using Kannan type contractions, Journal of Operators 2014 (2014), Article ID 876749, http://dx.doi.org/10.1155/2014/876749.
• [6] D. Guo, V. Lakshmikantham, Coupled fixed points of non-linear operators with applications, Nonlinear Analysis, Theory, Methods and Applications 11 (5)(1987) 623-632.
• [7] N. Hussain, V. Parvaneh, B. Samet, C. Vetro, Some fixed point theorems for generalized contractive mappings in complete metric spaces, Fixed Point Theory and Applications (2015), DOI: 10.1186/s13663-015-0433-z.
• [8] R. Kannan, Some results on fixed points, Bull. Culcutta Math. Soc. 10 (1968) 71-76.
• [9] J. Olaleru, V. Olisama, M. Abbas, Coupled best proximity points of generalised Hardy-Rogers type cyclic (ω)-contraction mappings, International Journal of Mathematical Analysis and Optimization: Theory and Applications 1 (2015) 33-54.
• [10] E. Prajisha, P. Shaini, FG-coupled fixed point theorems for various contractionsin partially ordered metric spaces, http://arxiv.org/abs/1602.00543.
• [11] S. Reich, Some remarks concerning contraction mappings, Canad. Math. Bull. 14 (1) (1971) 121-124.
• [12] S. Reich, Fixed points of contractive functions, Bull. Un. Math. Ital. 4 (1972) 26-42.
• [13] F. Sabetghadam, H.P. Masiha, A.H. Sanatpour, Some coupled fixed point theorems in cone metric spaces, Fixed Point Theory and Applications 2009 (2009), Article ID 125426, DOI: 10.1155/2009/125426.
• [14] N. Shioji, T. Suzuki, W. Takahashi, Contractive mappings, Kannan mappings and metric completeness, Proceedings of the American Mathematical Society 126 (10) (1998) 3117-3124.
• [15] P.V. Subrahmanyam, Completeness and fixed-points, Monatshefte für Mathematik 80 (4) (1975) 325-330.

Uwagi

PL

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