Author:
Saleem Naeem, ,Zhou Mi,Bashir Shahid,Husnine Syed Muhammad, ,
Abstract
<abstract><p>In this paper, firstly, we introduce some new generalizations of $ F- $contraction, $ F- $Suzuki contraction, and $ F- $expanding mappings. Secondly, we prove the existence and uniqueness of the fixed points for these mappings. Finally, as an application of our main result, we investigate the existence of a unique solution of an integral boundary value problem for scalar nonlinear Caputo fractional differential equations with a fractional order (1, 2).</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference31 articles.
1. S. Banach, Sur les operations dans les ensembles abstraits et leur application aux quations intgrales, Fund. Math., 3 (1922), 133–183.
2. D. Wardowski, Fixed point theory of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl., 2012 (2012), 94.
3. N. A. Secelean, Iterated function systems consisting of $F$-contractions, Fixed Point Theory Appl., 2013 (2013), 277.
4. N. A. Secelean, Weak $F-$contractions and some fixed point results, B. Iran. Math. Soc., 42 (2016), 779–798.
5. H. Piri, P. Kumam, Some fixed point theorems concerning $F-$contraction in complete metric spaces, Fixed Point Theory Appl., 2014 (2014), 210.
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