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This chapter focuses on the SPK iterative algorithm, which is used to approximate the fixed points of monotone Reich-Suzuki type nonexpansive mappings in partially ordered hyperbolic spaces. The main objective is to present convergence results for this algorithm when applied to such mappings. Additionally, the chapter includes an illustrative example to demonstrate its main findings. Finally, the application of the results to nonlinear integral equations is discussed.

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SPK Iterative Algorithm for Monotone Nonexpansive Mappings: Convergence and Applications

  • 章节

  • 发表日期：

    2026年

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  • Samir Dashputre,
  • Kavita Sakure

摘要

This chapter focuses on the SPK iterative algorithm, which is used to approximate the fixed points of monotone Reich-Suzuki type nonexpansive mappings in partially ordered hyperbolic spaces. The main objective is to present convergence results for this algorithm when applied to such mappings. Additionally, the chapter includes an illustrative example to demonstrate its main findings. Finally, the application of the results to nonlinear integral equations is discussed.