COUPLED FIXED POINT THEOREMS WITH C-CLASS FUNCTIONS

Arslan H. Ansari, Murat Ozdemir, Mohammad S. Khan, Isa Yildirim

DOI Number

10.22190/FUMI1801109A

First page

109

Last page

124

In this paper, we introduce a new type of coupled xed point theorem
with C-class functions in partially ordered complete metric space.

Coupled fixed point; Partially ordered set; Mixed monotone mappings,C- class function.

Coupled xed point; Partially ordered set; Mixed monotone mappings,C- class function.

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Agarwal, R.P., El-Gebeily, MA, O Regan, D., Generalized contractions in partially ordered metric

spaces, Appl. Anal. 87(2008),1-8.

Ansari, A. H., Note on ' phi -contractive type mappings and related fixed point, The 2nd Regional

Conference on Mathematics and Applications, PNU, September 2014, pages377-380

Babu G.V.R. and Sailaja, P.D. , A Fixed Point Theorem of Generalized Weakly Contractive Maps

in Orbitally Complete Metric Spaces,Thai Journal of Mathematics, 9(1)(2011), 1-10.

Berinde, V., Generalized coupled fixed point theorems for mixed monotone mappings in partially

ordered metric spaces, Nonlinear Analysis,74 (2011),7347-7355.

Bhaskar. T.G. and Lakshmikantham, V., Fixed point theorems in partially ordered metric spaces

and applications, Nonlinear Anal.,65(2006),1379-1393 .

M. S. Khan, M. Swaleh, and S. Sessa, Fixed point theorems by altering distances between the points,

Bull. Austral.Math.Soc., 30(1)(1984),1-9.

Nieto, J.J. and Lopez, R.R., Contractive mapping theorems in partially ordered sets and applica-

tions to ordinary di¤erential equations, Order,22 (2005), 223-239.

Nieto, J.J. and Lopez, R.R., Existence and uniqueness of fixed point in partially ordered sets and

applications to ordinary deferential equations, Acta Math. Sinica Engl. Ser. 23(12)(2007),2205-2212.

Ran, ACM, and Reurings, MCB, A fixed point theorem in partially ordered sets and some applica-

tions to matrix equations, Proc. Amer. Math. Soc. 132(2004), 1435-1443.

O Regan, D. and , Petrusal, A., Fixed point theorems for generalized contractions in ordered metric

spaces, J.Math. Anal. Appl., 341(2008), 241-1252.

Yildirim, I., A new type of coupled fixed point theorem in partially ordered complete metric space,

Journal of Mathematical Analysis, 7(3)(2016),58-65.

DOI: https://doi.org/10.22190/FUMI1801109A

ISSN 2406-047X (Online)