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https://research.matf.bg.ac.rs/handle/123456789/1067
Title: | Generalized wardowski type fixed point theorems via α-admissible FG-contractions in b-metric spaces | Authors: | PARVANEH, Vahid HUSSAIN, Nawab Kadelburg, Zoran |
Keywords: | F-contraction;α-admissible mapping;α-continuous function | Issue Date: | 1-Sep-2016 | Journal: | Acta Mathematica Scientia | Abstract: | 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. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1067 | ISSN: | 02529602 | DOI: | 10.1016/S0252-9602(16)30080-7 |
Appears in Collections: | Research outputs |
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