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NEW APPROXIMATE FIXED POINT RESULTS FOR VARIOUS CYCLIC CONTRACTION OPERATORS ON E-METRIC SPACES
- Issue Date
- Sep-2023
- Publisher
- 한국산업응용수학회
- Keywords
- E-metric space; approximate fixed point; B-cyclic contraction; Bianchini cyclic contraction; rational cyclic contraction
- Citation
- Journal of the Korean Society for Industrial and Applied Mathematics, v.27, no.3, pp 160 - 179
- Pages
- 20
- Indexed
- ESCI
KCI
- Journal Title
- Journal of the Korean Society for Industrial and Applied Mathematics
- Volume
- 27
- Number
- 3
- Start Page
- 160
- End Page
- 179
- ISSN
- 1226-9433
1229-0645
- Abstract
- 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 HardyRogers 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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