Abstract

Abstract In the present paper, an iterative algorithm for solving mixed equilibrium problems and fixed points problems has been constructed. It is shown that under some mild conditions, the sequence generated by the presented algorithm converges strongly to the common solution of mixed equilibrium problems and fixed points problems. As an application, we can find the minimum norm element without involving projection. MSC:47J05, 47J25, 47H09.

Highlights

  • Let H be a real Hilbert space with the inner product ·, · and the norm ·, respectively

  • 3 Main results we prove our main results

  • Let C be a nonempty closed convex subset of a real Hilbert space H and let F : C × C → R be a bifunction satisfying conditions (H )-(H )

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Summary

Introduction

Let H be a real Hilbert space with the inner product ·, · and the norm · , respectively.

Results
Conclusion

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