COMMON FIXED POINTS FOR COMMUTATING AND WEAKLY COMPATIBLE SELF-MAPS ON DIGITAL METRIC SPACES
Abstract: In this paper, we introduce the notions of commutating, compatibility and weakly compatible mappings on digital metric spaces. Using this concept we prove some common fixed point theorems for a pair of self-maps on a digital metric space. We also give an example of a pair of self-maps which is weakly compatible but not compatible and give another example in support of our main result.
Keywords: Digital Image, digital Metric Space, Adjacency relation, Commuting mappings, Compatibility mappings, Weakly Compatible Mappings, Coincidence Point. 2010 MSC: 47H10, 54E35, 68U10
How to Cite:
[1] K. Sridevi, M. V. R. Kameswari, D. M. K. Kiran, “COMMON FIXED POINTS FOR COMMUTATING AND WEAKLY COMPATIBLE SELF-MAPS ON DIGITAL METRIC SPACES,” International Advanced Research Journal in Science, Engineering and Technology (IARJSET), DOI: 10.17148/IARJSET.2017.4904
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