2014
DOI: 10.2478/s12175-014-0250-6
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Abstract: ABSTRACT. We prove some common fixed point results for four mappings satisfying generalized weak contractive condition in partially ordered complete b-metric spaces. Our results extend and improve several comparable results in the existing literature

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Cited by 177 publications
(153 citation statements)
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“…Since then, many fixed point results in b-metric space have been established by researchers; see, for example, [9,10,11,12,13,14] and the references therein. Recently, Hussain, Saadati and Agrawal [15] introduced the concept of the wt-distance in b-metric spaces and established some fixed point results with the wt-distance.…”
Section: Introductionmentioning
confidence: 99%
“…Since then, many fixed point results in b-metric space have been established by researchers; see, for example, [9,10,11,12,13,14] and the references therein. Recently, Hussain, Saadati and Agrawal [15] introduced the concept of the wt-distance in b-metric spaces and established some fixed point results with the wt-distance.…”
Section: Introductionmentioning
confidence: 99%
“…, 1] -see [13]-has the property that d(f [2] (x), f [2] (y)) ≤ ϕ(max{d(x, y), d(f (x), f (y))}) for all x, y ∈ [0, 1], where ϕ is the comparison function given by ϕ(r) = 1 4 r for every r ∈ [0, ∞), so it satisfies the hypothesis of Theorem 3.1. Since f is not continuous, it does not satisfy the hypothesis of Matkowski's Theorem.…”
Section: Remark 21 Every Metric Space Is a B-metric Space (With Conmentioning
confidence: 99%
“…Given a complete b-metric space (X, d), every convex contraction f : X → X (i.e. there exist a, b ∈ (0, 1) such that a+b < 1 and d(f [2] (x), f [2] (y)) ≤ ad(f (x)), f (y))+ bd(x, y) for all x, y ∈ X) is a Picard operator.…”
Section: Remark 21 Every Metric Space Is a B-metric Space (With Conmentioning
confidence: 99%
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