The split equality fixed point problem for quasi-pseudo-contractive mappings without prior knowledge of norms

Abstract:

Recently, Chang et al. (2015) constructed an algorithm that converges weakly to the solution of the split equality fixed point problem for quasi-pseudo-contractive mappings under some suitable conditions. They also showed that strong convergence is obtained in the case when the quasi-pseudo-contractive mappings are semi-compact. In this article, we construct an algorithm for quasi-pseudo-contractive mappings that always converge strongly to some solution of the split equality fixed point problem under mild conditions. We mention that we do not require the quasi-pseudo-contractive mappings to be semi-compact to obtain strong convergence. The algorithm does not require any prior knowledge of operator norms. The result of this article provides a unified framework for this type of problems.
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APA

A., B (2024). The split equality fixed point problem for quasi-pseudo-contractive mappings without prior knowledge of norms. Afribary. Retrieved from https://afribary.com/works/the-split-equality-fixed-point-problem-for-quasi-pseudo-contractive-mappings-without-prior-knowledge-of-norms

MLA 8th

A., Boikanyo "The split equality fixed point problem for quasi-pseudo-contractive mappings without prior knowledge of norms" Afribary. Afribary, 30 Mar. 2024, https://afribary.com/works/the-split-equality-fixed-point-problem-for-quasi-pseudo-contractive-mappings-without-prior-knowledge-of-norms. Accessed 22 May. 2024.

MLA7

A., Boikanyo . "The split equality fixed point problem for quasi-pseudo-contractive mappings without prior knowledge of norms". Afribary, Afribary, 30 Mar. 2024. Web. 22 May. 2024. < https://afribary.com/works/the-split-equality-fixed-point-problem-for-quasi-pseudo-contractive-mappings-without-prior-knowledge-of-norms >.

Chicago

A., Boikanyo . "The split equality fixed point problem for quasi-pseudo-contractive mappings without prior knowledge of norms" Afribary (2024). Accessed May 22, 2024. https://afribary.com/works/the-split-equality-fixed-point-problem-for-quasi-pseudo-contractive-mappings-without-prior-knowledge-of-norms