Fixed points of a certain class of mappings in spaces with uniformly normal structure

Jong Soo Jung, Balwant Singh Thakur and Daya Ram Sahu

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-4

Abstract:

A fixed point theorem is proved in a Banach space E which has uniformly normal structure for asymptotically regular mapping T satisfying: for each x , y in the domain and for n = 1 , 2 , ⋯ , ‖ T n x − T n y ‖ ≤ a n ‖ x − y ‖ + b n ( ‖ x − T n x ‖ + ‖ y − T n y ‖ ) + c n ( ‖ x − T n y ‖ + ‖ y − T n y ‖ ) , where a n , b n , c n are nonnegative constants satisfying certain conditions. This result generalizes a fixed point theorem of Górnicki [1].

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:627507

DOI: 10.1155/S0161171298000933

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