On Bilateral Contractions

Chi-Ming Chen, Gholamreza Heidary Joonaghany, Erdal Karapınar and Farshid Khojasteh
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Chi-Ming Chen: Institute for Computational and Modeling Science, National Tsing Hua University, 521 Nan-Dah Road, Hsinchu City 30013, Taiwan
Gholamreza Heidary Joonaghany: Department of Mathematics, Arak Branch, Islamic Azad University, Arak 38361-1-9131, Iran
Erdal Karapınar: Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Farshid Khojasteh: Young Researcher and Elite Club, Arak Branch, Islamic Azad University, Arak 38361-1-9131, Iran

Mathematics, 2019, vol. 7, issue 6, 1-7

Abstract: In this manuscript, we introduce a new type of contraction, bilateral contraction which merges two significant approaches in the fixed point theory: Caristi type contractions and Jaggi type contractions. The principal aim of the main result is to enrich the literature by combining the techniques of the mentioned two celebrated results that belong to Jaggi and Caristi. We consider an example to indicate the validity and genuine nature of the main result.

Keywords: ?iri? type contraction; Caristi fixed point theorem; fixed point; contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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