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Abstract
In this paper, we introduce new types of contraction mappings named S-Pata-type contraction mapping and Generalized S-Pata-type contraction mapping in the framework of S-metric space. Then, we prove some new fixed-point results for S-Pata-type contraction mappings and Generalized S-Pata-type contraction mappings. To support our results, we provide examples to illustrate our findings and also apply these results to the ordinary differential equation to strengthen our conclusions.
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Details
1 National Institute of Technology Manipur, Department of Mathematics, Imphal, India (GRID:grid.510470.7) (ISNI:0000 0004 4911 0438)
2 National Institute of Technology Manipur, Department of Mathematics, Imphal, India (GRID:grid.510470.7) (ISNI:0000 0004 4911 0438); Manipur University, Department of Mathematics, Imphal, India (GRID:grid.411644.2) (ISNI:0000 0001 0675 2121)
3 University of Management and Technology, Department of Mathematics, Lahore, Pakistan (GRID:grid.444940.9); Sefako Makgatho Health Sciences University, Department of Mathematics and Applied Mathematics, Pretoria, South Africa (GRID:grid.459957.3) (ISNI:0000 0000 8637 3780)
4 Sefako Makgatho Health Sciences University, Department of Mathematics and Applied Mathematics, Pretoria, South Africa (GRID:grid.459957.3) (ISNI:0000 0000 8637 3780)
5 King Faisal University Al Ahsa, Department of Basic Sciences, Preparatory Year, Al Hofuf, Saudi Arabia (GRID:grid.412140.2) (ISNI:0000 0004 1755 9687); King Faisal University, Department of Mathematics, College of Science, Al-Ahsa, Saudi Arabia (GRID:grid.412140.2) (ISNI:0000 0004 1755 9687)