A UNIQUE EQUIVALENCE CLASS OF NEAR-POINTS OF COINCIDENCE FOR GENERALIZED CONTRACTIONS IN INTERVAL SPACES

Marzieh Sharifi, Seyed Mohamad Sadegh Modarres Mosadegh

DOI Number
https://doi.org/10.22190/FUMI240702043S
First page
615
Last page
643

Abstract


In this article, we discuss some theorems of near-points of coincidence for generalized contractive mappings in metric and normed interval spaces that are also weakly compatible self-mappings. In these theorems, we investigate the existence and uniqueness of common near-fixed points. We also provide examples to demonstrate the validity of our work.


Keywords

Metric interval spaces, Normed interval spaces, Near-fixed points, Near-points of coincidence, Null set, Triangle inequality, Contractive mappings

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References


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DOI: https://doi.org/10.22190/FUMI240702043S

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