2010
DOI: 10.1016/j.mcm.2010.05.009
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Fixed point theorems in generalized partially orderedG-metric spaces

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Cited by 119 publications
(27 citation statements)
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“…The study of common fixed point was initiated by Abbas and Rhoades [12]. The first result for contractive mappings in ordered Gmetric spaces was obtained by Saadati et al [13]. Bhashkar and Lakshmikantham [14] introduced the concept of a coupled fixed point of a mapping F : X × X X and proved some coupled fixed point theorems in ordered metric spaces.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The study of common fixed point was initiated by Abbas and Rhoades [12]. The first result for contractive mappings in ordered Gmetric spaces was obtained by Saadati et al [13]. Bhashkar and Lakshmikantham [14] introduced the concept of a coupled fixed point of a mapping F : X × X X and proved some coupled fixed point theorems in ordered metric spaces.…”
Section: Introductionmentioning
confidence: 99%
“…[15][16][17][18]). For more results on G-metric spaces, one can refer to the papers [9][10][11][12][13][15][16][17][18][19][20][21][22][23][24][25][26][27][28].…”
Section: Introductionmentioning
confidence: 99%
“…Abbas and Rhoades [7] initiated the study of common fixed point in G-metric spaces. While, Saadati et al [8] studied some fixed point theorems in generalized partially ordered G-metric spaces. Ran and Reurings [9] extended Banach's principle in partially ordered metric space to obtained some fixed point results for set valued mappings where the contraction condition is assumed only for the comparable elements of the partially ordered set.…”
Section: Introductionmentioning
confidence: 99%
“…Abbas and Rhoades [20] initiated the study of common fixed point in G-metric spaces. While Saadati et al [21] studied some fixed point theorems in generalized partially ordered G-metric spaces. Gajić and Crvenković [22,23] proved some fixed point results for mappings with contractive iterate at a point in G-metric spaces.…”
Section: Introductionmentioning
confidence: 99%