Journal
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
Volume 22, Issue 12, Pages 2697-2714Publisher
YOKOHAMA PUBL
Keywords
Generalized mixed equilibrium problems; Bregman quasi-k-strictly pseudo-contractive mappings; reflexive Banach spaces
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Funding
- Science Achievement Scholarship of Thailand
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This paper proposes a new iterative method for solving the existence of common solutions of generalized mixed equilibrium problems and fixed point problems for a Bregman quasi-k-strictly pseudo-contractive mapping in reflexive Banach spaces. It is proven that the sequence generated by the proposed iterative algorithm converges strongly to a common solution of the mentioned problems, with a numerical example provided to support the main result.
In this paper, we propose a new iterative method for solving the existence of common solutions of generalized mixed equilibrium problems and fixed point problems for a Bregman quasi-k-strictly pseudo-contractive mapping in reflexive Banach spaces. We prove that the sequence generated by the proposed iterative algorithm converges strongly to a common solution of the mentioned problems. Further, we give a numerical example of the iterative algorithm supporting our main result.
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