A New Resolvent-Based Method for Solving Generalized Variational Inclusions and Its Application to Image Deblurring

Ghada AlNemer, Mohammad Farid and Rehan Ali

Journal of Mathematics, 2026, vol. 2026, 1-19

Abstract: This research develops a computational framework utilizing viscosity extragradient iterations to simultaneously solve split monotone variational inclusion, variational inequality, and fixed-point problems. The methodology handles finite collections of ϵ-strict pseudocontractive operators and nonexpansive mappings within Hilbert space settings. Convergence properties are rigorously analyzed under standard hypotheses, with derived corollaries and computational studies confirming theoretical predictions. Practical relevance is established through image deblurring applications, positioning our contributions as meaningful generalizations that synthesize various known results in contemporary optimization theory.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6454645

DOI: 10.1155/jom/6454645

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