WEAK AND STRONG CONVERGENCE TO FIXED POINTS OF MULTI-VALUED $\vartheta$− NONEXPANSIVE MAPPINGS IN BANACH SPACES

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DOI:

https://doi.org/10.26713/jims.v18i3.3517

Abstract

In this paper, we introduced a novel fixed-point iterative algorithm that converges both weakly and strongly to the fixed point of a multi-valued $\vartheta$-nonexpansive mapping. We provide an example demonstrating that the new iterative algorithm converges faster than some existing algorithms. Additionally, in the application, we suggested a novel approach for solving a particular fractional differential equation using this algorithm.

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Published

September 25, 2026

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Research Article

How to Cite

Yamini Vaishnav, Sahu, V. K., & Tiwari, R. (2026). WEAK AND STRONG CONVERGENCE TO FIXED POINTS OF MULTI-VALUED $\vartheta$− NONEXPANSIVE MAPPINGS IN BANACH SPACES. Journal of Informatics and Mathematical Sciences, 18(3), 233-249. https://doi.org/10.26713/jims.v18i3.3517