On Reich and Chaterjea type cyclic weakly contraction mappings in metric spaces

Volume 32, Issue 4, pp 348--357 http://dx.doi.org/10.22436/jmcs.032.04.05

Publication Date: November 03, 2023 Submission Date: July 24, 2023 Revision Date: August 23, 2023 Accteptance Date: August 25, 2023

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Authors

D. Eshi - Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh - 791112, Arunachal Pradesh, India. B. Hazarika - Department of Mathematics, Gauhati University, Guwahati - 781014, Assam, India. N. Saikia - Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh - 791112, Arunachal Pradesh, India. R. Pant - Department of Mathematics \(\&\) Applied Mathematics, University of Johannesburg Kingsway Campus, Auckland Park 2006, South Africa.

Abstract

This paper signifies the existence and uniqueness of fixed points for some classes of mappings on general settings. Indeed, we prove existence and uniqueness results for Reich and Chatterjea type cyclic contractions using the perception of sequentially convergence mappings in metric spaces. We also present an example to illustrate our results.

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ISRP Style

D. Eshi, B. Hazarika, N. Saikia, R. Pant, On Reich and Chaterjea type cyclic weakly contraction mappings in metric spaces, Journal of Mathematics and Computer Science, 32 (2024), no. 4, 348--357

AMA Style

Eshi D., Hazarika B., Saikia N., Pant R., On Reich and Chaterjea type cyclic weakly contraction mappings in metric spaces. J Math Comput SCI-JM. (2024); 32(4):348--357

Chicago/Turabian Style

Eshi, D., Hazarika, B., Saikia, N., Pant, R.. "On Reich and Chaterjea type cyclic weakly contraction mappings in metric spaces." Journal of Mathematics and Computer Science, 32, no. 4 (2024): 348--357

Keywords

Fixed point
cyclic contraction
best proximity points
complete metric space
cyclic Chatterjea-Reich type contraction

MSC

47H10
54E50
47H09

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