MULTIVALUED COUPLED COINCIDENCE POINT RESULTS IN METRIC SPACES

Authors

  • B. S. Choudhury Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah - 711103, West Bengal, India Author
  • N. Metiya Department of Mathematics, Sovarani Memorial College, Jagatballavpur, Howrah - 711408, West Bengal, India Author
  • S. Kundu Department of Mathematics, Government General Degree College, Salboni, Paschim Medinipur - 721516, West Bengal, India Author

DOI:

https://doi.org/10.57016/MV-SY1R1F12

Keywords:

Metric space, Hausdorff-Pompeiu distance, MT - functions, coupled coincidence point, coupled common fixed point

Subjects:

54H10, 54H25, 47H10

Abstract

In this paper, we use an inequality involving a coupled multivalued mapping and a singlevalued mapping to obtain a coupled coincidence point theorem. We discuss special conditions under which coupled common fixed point theorems are obtained. The result combines several ideas prevalent in fixed point theory studies. There are several corollaries and illustrative examples. The Hausdorff-Pompeiu metric between sets is used. The work is in the context of metric spaces and is a part of set-valued analysis with the singlevalued consequences.

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Published

2023-10-15

Issue

Vol. 75 No. 4 (2023): Vol. 75, Issue 4

Section

Articles

License

Copyright (c) 2023 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.