2010
DOI: 10.1016/j.camwa.2010.02.039
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Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces

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Cited by 86 publications
(45 citation statements)
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“…Recently, many researchers have obtained fixed point and common fixed point results in partially ordered metric space (see, e.g., [3], [9], [13], [16], [25], [28] and [35]). The aim of this paper is to initiate study of common fixed point of four mappings in the frame work of ordered vector metric spaces.…”
Section: Definition 18 (Seementioning
confidence: 99%
“…Recently, many researchers have obtained fixed point and common fixed point results in partially ordered metric space (see, e.g., [3], [9], [13], [16], [25], [28] and [35]). The aim of this paper is to initiate study of common fixed point of four mappings in the frame work of ordered vector metric spaces.…”
Section: Definition 18 (Seementioning
confidence: 99%
“…Thereafter, several authors worked in this direction and proved fixed point theorems in ordered metric spaces. For more details see [1][2][3][4][5][6][7][8]10,11,14,18,21,23,24,27,29,[31][32][33][34] and the references cited therein.…”
Section: Theorem 1 Let (X D ) Be a Partially Ordered Complete Metrmentioning
confidence: 99%
“…For more results on ordered metric spaces, cone and ordered cone metric spaces, the reader can be traced back to [30][31][32][33][34][35][36][37][38][39]. Theorem 1.1 [3] Let ðX; d; YÞ be an ordered cone metric space over a solid cone P. Let F : X 2 À!…”
Section: Introductionmentioning
confidence: 99%