Fixed Points of Asymptotically Regular Mappings in Cone Metric Spaces
Neeraj Malviya, Prabha Chouhan
Abstract
Neeraj Malviya, Prabha Chouhan
Abstract
The objective of this paper is to introduce the concept of asymptot-ically regular sequences and asymptotically regular maps in cone metric space and using this concept and without assuming normality, we es-tablish unique fixed point theorems for self maps in a cone metric space. Nathematics Subject Classification: 54H25, 47H10
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The objective of this paper is to introduce the concept of asymptot-ically regular sequences and asymptotically regular maps in cone metric space and using this concept and without assuming normality, we es-tablish unique fixed point theorems for self maps in a cone metric space. Nathematics Subject Classification: 54H25, 47H10
Key concepts: Metric space, Mathematics, Cone (formal languages), Metric (unit), Metric map, Fixed point, Normality, Convex metric space