Journal of the Korean Society for Industrial and Applied Mathematics

  • 제27권3호
  • /
  • Pages.160-179
  • /
  • 2023
  • /
  • 1226-9433(pISSN)
  • /
  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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NEW APPROXIMATE FIXED POINT RESULTS FOR VARIOUS CYCLIC CONTRACTION OPERATORS ON E-METRIC SPACES

  • R. THEIVARAMAN (DEPARTMENT OF MATHEMATICS, BHARATHIDASAN UNIVERSITY) ;
  • P. S. SRINIVASAN (DEPARTMENT OF MATHEMATICS, BHARATHIDASAN UNIVERSITY) ;
  • S. RADENOVIC (FACULTY OF MECHANICAL ENGINEERING, UNIVERSITY OF BELGRADE) ;
  • CHOONKIL PARK (RESEARCH INSTITUTE OF NATURAL SCIENCES, HANYANG UNIVERSITY)
  • 투고 : 2023.04.11
  • 심사 : 2023.08.19
  • 발행 : 2023.09.25
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초록

In this paper, we investigate the existence and diameter of the approximate fixed point results on E-metric spaces (not necessarily complete) by using various cyclic contraction mappings, including the B-cyclic contraction, the Bianchini cyclic contraction, the Hardy-Rogers cyclic contraction, and so on. Additionally, we prove the approximate fixed point results for rational type cyclic contraction mappings, which were discussed mainly in [35] and [37], in the setting of E-metric space. Also, a few examples are provided to demonstrate our findings. Subsequently, we discuss some applications of approximate fixed point results in the field of applied mathematics rigorously.

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과제정보

The first author wishes to thank Bharathidasan University for its financial support under the URF scheme. Also, all the authors express gratitude to The Journal of the Korean Society for Industrial and Applied Mathematics Management for their unwavering assistance in getting this manuscript finished. We would like to express our gratitude to the editor and reviewers for their thorough reading. Once again, we thank the editor for giving us the opportunity to reset the manuscript in a nice way.

참고문헌

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