Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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BEST PROXIMITY POINT OF CYCLIC GENERALIZED 𝜑-WEAK CONTRACTION MAPPING IN METRIC SPACES

  • Kim, Kyung Soo (Department of Mathematics Education, Kyungnam University)
  • Received : 2021.09.06
  • Accepted : 2021.12.04
  • Published : 2022.06.08
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Abstract

The purpose of this paper is to introduce a new generalization class of cyclic mappings, called cyclic generalized 𝜑-weak contraction and obtain a corresponding best proximity point theorem for this cyclic mapping under certain conditions.

Keywords

Acknowledgement

The author would like to thank the referees for their valuable comments and suggestions which improved the presentation of this paper. This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(2019R1I1A3A01060344).

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