WEAK CONVERGENCE OF FIXED POINT ITERATIONS IN S-METRIC SPACES

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Siva G.; Loganathan S.

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Journal Paper

Paper Information

Journal: Journal of Mahani Mathematical Research Year:2024 | Volume:13 | Issue:1 Page(s): 563-574

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Information Journal Paper

Title

WEAK CONVERGENCE OF FIXED POINT ITERATIONS IN S-METRIC SPACES

Author(s)

Siva G. | Loganathan S. | Issue Writer Certificate

Keywords

Weak convergence

Semi S-metric space

Directed set

Abstract

This paper extends the notion of Weak convergence in metric spaces to the case of S-metric spaces. Moreover, some results on the Weak convergence of fixed point iterations of Banach's, Kannan's, Chatterjee's, Reich's, Hardy and Roger's types of contractions on S-metric spaces are obtained. In addition, an example is presented to demonstrate our primary result.

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