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Existence results for trifunction equilibrium problems and fixed point problems

Analysis and Mathematical Physics volume 9, pages 323–347 (2019)Cite this article

Abstract

In this paper, we establish the existence and uniqueness solutions of trifunction equilibrium problems using the generalized relaxed \(\alpha \)-monotonicity in Banach spaces. By using the generalized f-projection operator, a hybrid iteration scheme is presented to find a common element of the solutions of a system of trifunction equilibrium problems and the set of fixed points of an infinite family of quasi-\(\phi \)-nonexpansive mappings. Moreover, the strong convergence of our new proposed iterative method under generalized relaxed \(\alpha \)-monotonicity is considered.

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Authors and Affiliations

  1. Natural Science (Mathematics), Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, India

    Nihar Kumar Mahato

  2. Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan

    Muhammad Aslam Noor

  3. Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, India

    Nabin Kumar Sahu

Authors
  1. Nihar Kumar Mahato
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  2. Muhammad Aslam Noor
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  3. Nabin Kumar Sahu
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Correspondence to Nihar Kumar Mahato.

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Mahato, N.K., Noor, M.A. & Sahu, N.K. Existence results for trifunction equilibrium problems and fixed point problems. Anal.Math.Phys. 9, 323–347 (2019). https://doi.org/10.1007/s13324-017-0199-z

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  • DOI: https://doi.org/10.1007/s13324-017-0199-z

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