On Fixed Point Results for Modified JS-Contractions with Applications
Vahid Parvaneh 
1
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
2
Department of Mathematics, King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia
3
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
4
Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
5
China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
*
Authors to whom correspondence should be addressed.
Axioms 2019, 8(3), 84; https://doi.org/10.3390/axioms8030084
Received: 8 June 2019 / Revised: 17 July 2019 / Accepted: 23 July 2019 / Published: 24 July 2019
(This article belongs to the Special Issue Fixed Point Theory and Related Topics)
In [Fixed Point Theory Appl., 2015 (2015):185], the authors introduced a new concept of modified contractive mappings, generalizing Ćirić, Chatterjea, Kannan, and Reich type contractions. They applied the condition (see page 3, Section 2 of the above paper). Later, in [Fixed Point Theory Appl., 2016 (2016):62], Jiang et al. claimed that the results in [Fixed Point Theory Appl., 2015 (2015):185] are not real generalizations. In this paper, by restricting the conditions of the control functions, we obtain a real generalization of the Banach contraction principle (BCP). At the end, we introduce a weakly JS-contractive condition generalizing the JS-contractive condition.
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Keywords:
metric space; fixed point; weakly JS-contraction
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MDPI and ACS Style
Parvaneh, V.; Hussain, N.; Mukheimer, A.; Aydi, H. On Fixed Point Results for Modified JS-Contractions with Applications. Axioms 2019, 8, 84.
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