2015
DOI: 10.22436/jnsa.008.04.01
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Quadruple fixed point theorems under (φ,ψ )-contractive conditions in partially ordered G -metric spaces with mixed g -monotone property

Abstract: In this paper, we prove some quadruple coincidence and quadruple fixed point theorems for (ϕ, ψ)-contractive type mappings in partially ordered G-metric spaces with mixed g-monotone property. The results on fixed point theorems are generalizations of some results obtained by Mustafa [Z. Mustafa, Fixed Point Theory Appl., 2012, 22 pages]. We also give an example to support our results.

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Cited by 4 publications
(3 citation statements)
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“…Karapinar (6) demonstrated certain quadruple fixed results in partially ordered metric spaces very recently by using the idea of quadruple fixed point. Numerous researchers (7)(8)(9)(10)(11)(12) then created quadruple fixed theorems in different metric spaces.…”
Section: Introductionmentioning
confidence: 99%
“…Karapinar (6) demonstrated certain quadruple fixed results in partially ordered metric spaces very recently by using the idea of quadruple fixed point. Numerous researchers (7)(8)(9)(10)(11)(12) then created quadruple fixed theorems in different metric spaces.…”
Section: Introductionmentioning
confidence: 99%
“…Variational methods are used to prove the existence of solutions for differential equations [1][2][3][4][5][6][7][8][9]. However, fixed point methods are studied by many scholars [10][11][12][13] in different spaces. Especially, in 2012, AminiHarandi [14] introduced the notions of metric-like spaces which is considered to be an interesting generalization of metric spaces, partial metric spaces [15] and quasi-metric spaces [16].…”
Section: Introductionmentioning
confidence: 99%
“…In the same reference, some fixed point theorems were investigated. Recently, many authors paid much attention to partial metric spaces, and generalized the fixed point theorems in metric spaces into theorems in partial metric spaces (see, e.g., [1,2,4,5,6,10,11,12,14,16,18,19,20,26,28] and references therein).…”
Section: Introductionmentioning
confidence: 99%