• Title/Summary/Keyword: g-pseudomonotone

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APPROXIMATION METHODS FOR SOLVING SPLIT EQUALITY OF VARIATIONAL INEQUALITY AND f, g-FIXED POINT PROBLEMS IN REFLEXIVE BANACH SPACES

  • Yirga Abebe Belay;Habtu Zegeye;Oganeditse A. Boikanyo
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.1
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    • pp.135-173
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    • 2023
  • The purpose of this paper is to introduce and study a method for solving the split equality of variational inequality and f, g-fixed point problems in reflexive real Banach spaces, where the variational inequality problems are for uniformly continuous pseudomonotone mappings and the fixed point problems are for Bregman relatively f, g-nonexpansive mappings. A strong convergence theorem is proved under some mild conditions. Finally, a numerical example is provided to demonstrate the effectiveness of the algorithm.