Generalized wardowski type fixed point theorems via α-admissible FG-contractions in b-metric spaces

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• 作者：Vahid PARVANEH ; ^{zam.dalahoo@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：α-admissible mapping ; F-contraction ; α-continuous function
• 刊名：Acta Mathematica Scientia
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：36
• 期：5
• 页码：1445-1456
• 全文大小：352 K

文摘

Recently, Wardowski [Fixed Point Theory Appl., 2012: 94, 2012] introduced and studied a new contraction called F-contraction to prove a fixed point result as a generalization of the Banach contraction principle. In this paper, we introduce an α-β-FG-contraction and generalize the Wardowski fixed point result in b-metric and ordered b-metric spaces. As an application of our results we deduce Suzuki type fixed point results for β-FG-contractions. Moreover, we discuss some illustrative examples to highlight the realized improvements.