Acta mathematica scientia, Series B >
GENERALIZED WARDOWSKI TYPE FIXED POINT THEOREMS VIA α-ADMISSIBLE FG-CONTRACTIONS IN b-METRIC SPACES
Online published: 2016-10-25
Supported by
The third author was supported by Ministry of Education, Science and Technological Development (174002).
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.
Key words： α-admissible mapping; F-contraction; α-continuous function
Vahid PARVANEH , Nawab HUSSAIN , Zoran KADELBURG . GENERALIZED WARDOWSKI TYPE FIXED POINT THEOREMS VIA α-ADMISSIBLE FG-CONTRACTIONS IN b-METRIC SPACES[J]. Acta mathematica scientia, Series B, 2016 , 36(5) : 1445 -1456 . DOI: 10.1016/S0252-9602(16)30080-7
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