Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces

Kadelburg, Zoran; Pavlovic, Mladen; Radenović, Stojan

doi:10.1016/j.camwa.2010.02.039

Cited by 86 publications

(45 citation statements)

References 22 publications

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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%

Common fixed point results for four mappings on ordered vector metric spaces

Rahimi

Abbas

Rad

2015

Filomat

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Section: Definition 18 (Seementioning

confidence: 99%

Common fixed point results for four mappings on ordered vector metric spaces

Rahimi

Abbas

Rad

2015

Filomat

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“…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%

Common fixed point theorems under implicit relations on ordered metric spaces and application to integral equations

Nashine¹

2012

Bull. Math. Sci.

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In this paper, we prove existence results for common fixed points of two or three relatively asymptotically regular mappings satisfying the orbital continuity of one of the involved maps under implicit relation on ordered orbitally complete metric spaces. We furnish suitable examples to demonstrate the validity of the hypotheses of our results. At the end of the results, an application to the study of existence and uniqueness of solutions for a class of nonlinear integral equations is presented.

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“…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%