The Journal of the Indian Mathematical Society

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Fixed Points of Strongly Asymptotically Bounded Mappings


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1 Department of Mathematics, University of Delhi, Delhi 110007, India
     

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A selfmap T on a metric space (X, d) is said to be asymptotically regular [4] at x in X if d(Tnx, Tn+1x) → 0 as n → ∞ and is said to be asymptotically regular on X if it is asymptotically regular for each x in X. T is said to be asymptotically bounded [1] on a Banach space X if ||Tn|| ≥ M for some constant M≥ 0 and for all n≥ 1.
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  • Fixed Points of Strongly Asymptotically Bounded Mappings

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Authors

S. C. Arora
Department of Mathematics, University of Delhi, Delhi 110007, India
Alpana Rastogi
Department of Mathematics, University of Delhi, Delhi 110007, India

Abstract


A selfmap T on a metric space (X, d) is said to be asymptotically regular [4] at x in X if d(Tnx, Tn+1x) → 0 as n → ∞ and is said to be asymptotically regular on X if it is asymptotically regular for each x in X. T is said to be asymptotically bounded [1] on a Banach space X if ||Tn|| ≥ M for some constant M≥ 0 and for all n≥ 1.