Fixed points of weakly compatible mappings in G-metric spaces satisfying common limit range property
Fixed points of weakly compatible mappings in G-metric spaces satisfying common limit range property
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发表时间：
2013
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通讯作者：
Aydi Hassen;C. Sunny;Radenović Stojan
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作者：
Aydi Hassen;C. Sunny;Radenović Stojan
本文利用公共极限值域的概念证明了G-度量空间中一对弱相容映象的积分型不动点定理。利用两两交换的概念，我们将主要结果推广到两个有限自映射族。我们还建立了ф-压缩下的一些不动点结果。文中还给出了算例来支持我们的结果。我们的结果改进、推广和推广了现有文献中已知的几个不动点定理。
The aim of this paper is to prove an integral type fixed point theorem for a pair of weakly compatible mappings in G-metric space employing the notion of common limit range property. We extend our main result to two finite families of self mappings by using the notion of commuting pairwise. We also establish some fixed point results under ф-contractions. Illustrative examples are given to support our results. Our results improve, extend and generalize several previously known fixed point theorems in the existing literature.