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Open AccessArticle

On Fixed Point Results for Modified JS-Contractions with Applications

Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
Department of Mathematics, King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Authors to whom correspondence should be addressed.
Axioms 2019, 8(3), 84;
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 ( θ 4 ) (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. View Full-Text
Keywords: metric space; fixed point; weakly JS-contraction metric space; fixed point; weakly JS-contraction
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.

AMA Style

Parvaneh V, Hussain N, Mukheimer A, Aydi H. On Fixed Point Results for Modified JS-Contractions with Applications. Axioms. 2019; 8(3):84.

Chicago/Turabian Style

Parvaneh, Vahid; Hussain, Nawab; Mukheimer, Aiman; Aydi, Hassen. 2019. "On Fixed Point Results for Modified JS-Contractions with Applications" Axioms 8, no. 3: 84.

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