APPROXIMATION METHOD FOR COMMON FIXED POINT OF A COUNTABLE FAMILY OF MULTI-VALUED QUASI-ϕ-NONEXPANSIVE MAPPINGS IN BANACH SPACES
DOI:
https://doi.org/10.58715/bangmodjmcs.2023.9.4Keywords:
Multi-valued mapping, Quasi nonexpansive, Generalized projection, Fixed pointAbstract
In this paper, we study a new iterative algorithm to approximate a common fixed point of a
countable family of multi-valued quasi-φ nonexpansive mappings in a uniformly smooth and uniformly
convex real Banach space. We prove strong convergence theorem which improve and generalize recently
announced results in the literature. We also give some example to illustrate our theorem and we also
give application to zero point problem of maximal monotone mappings
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Published
2023-12-31
How to Cite
Inuwa, A., & Musa, S. S. (2023). APPROXIMATION METHOD FOR COMMON FIXED POINT OF A COUNTABLE FAMILY OF MULTI-VALUED QUASI-ϕ-NONEXPANSIVE MAPPINGS IN BANACH SPACES. Bangmod International Journal of Mathematical and Computational Science, 9, 45–62. https://doi.org/10.58715/bangmodjmcs.2023.9.4
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Section
Research Article
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Copyright (c) 2023 Bangmod International Journal of Mathematical and Computational Science
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
