In this paper, We prove some new tripled fixed point theorems using a control function which is also referred to as altering distance function.

Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 9)

Pages:

1-10

Citation:

Savitri and N. Hooda, "Tripled Fixed Point Theorems in Partially Ordered Spaces Using a Control Function", Bulletin of Mathematical Sciences and Applications, Vol. 9, pp. 1-10, 2014

Online since:

August 2014

Authors:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

References:

H. Ayadi and M. Abbas, Tripled coincidence and fixed point results in partial metric spaces, Applied General Topology, 13 (2) (2012), 193-206.

V. Berinde and M. Borcut, Tripled fixed point thoerems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal., 74(15) (2011), 4889-4897.

A. Cabada and J.J. Nieto, Fixed points and approximate solutions for nonlinear operators equations, J. Comput. Appl. Math., 113 (2000), 17-25.

B.S. Choudhury, Certain fixed point theorems on complete metric spaces, Soochow J. Math, 22 (3) (1996), 427-434.

B.S. Choudhury, A common unique fixed point result in metric spaces involving generalized altering distances, Math. Commun, 10 (2005), 105-110.

B.S. Choudhury and K. Das, A coincidence point result in Menger spaces using a control functoin, Chaos Solitons Fract., 42 (2009), 3058-3063.

B.S. Choudhury and P.N. Dutta, Common fixed points for fuzzy mappings using generlaized altering distances, Soochow J. Math., 31 (1) (2005), 71-81.

Z. Dricia, F.A. McRacb and J. Vasundhara Devi, Fixed point theorems in partially ordered metric spaces for operators with PPF dependence, Nonlinear Anal., 67(2007), 641-647.

J. Harjani and K. Sadarngani, Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations, Nonlinear Anal., 72 (2010), 1188-1197.

S. Hong, Fixed points of multivalued operators in ordered metric spaces with applications, Nonlinear Anal., 72 (2010), 3929-3942.

Z. Kadelburg, M. Pavlovic and S. Radenovic, Common fixed point theorems for ordered contractions and quasi contractions in ordered cone metric spaces, Comput. Math. Appl., 59 (9) (2010), 3148-3159.

E. Karapinar, Tripled fixed point theorems in partially ordered metric spaces, Stud. Univ. Babes-Bolyai Math., 58 (1) (2013), 75-85.

M.S. Khan, M. Swaleh and S. Sessa, Fixed points theorem by altering distances between the points, Bull. Austral Math. Soc., 30 (1984), 1-9.

N.V. Luong and N.X. Thuan, Coupled fixed points in partially ordered metric spaces, Bull. Math. Anal. Appl., 4 (2) (2010), 16-24.

D. Mihet, Altering distances in probabilistic Menger spaces, Nonlinear Anal., 71 (2009), 2734-2738.

B. Monjardet, Metrices on partially ordred set - A survey, Discrete Mathematics, 35 (1981), 173-184.

S.V.R. Naidu, Some fixed point theorems in metric spaces by altering distances, Czechoslovak Math. J., 53 (1) (2003), 205-212.

J.J. Nieto and R.R. Lopez, Contractive mapping theorems in partially ordered sets and applications to ordinary differential equaitons, Order, 22 (2005), 223-239.

A.C.M. Ran and M.C.B. Reurings, A fixed point theorem in partially ordered sets and some application to matrix equation, Proc. Amer. Math. Soc., 132 (2004), 1435-1443.

K.P.R. Rao, G.M.V. Kishore and P.R. Shobhuna Babu, Tripled coincidence point theorems for multivalued maps in partially ordered metric spaces, Universal Journal of Computaional Mathematics, 1 (2) (2013), 19-23.

K.P.R. Sastry and G.V.R. Babu, Some fixed point theorems by altering distances between the points, Ind. J. Pure Appl. Math., 30 (6) (1999), 641-647.

X. Zhang, Fixed point theorems for multivalued monotone mappings in ordered metric space, Appl. Math. Lett., 23 (2010), 235-240.

Cited By:

This article has no citations.