Nearly Contraction Mapping Principle for Fixed Points of Hemicontinuous Mappings | Zendy

Xavier Udo-utun | Zendy; M. Y. Balla | Zendy; Zakawat U. Siddiqui | Zendy

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Nearly Contraction Mapping Principle for Fixed Points of Hemicontinuous Mappings

Author(s) -

Xavier Udo-utun,

M. Y. Balla,

Zakawat U. Siddiqui

Publication year - 2013

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.1155/2013/379498

Subject(s) - fixed point , contraction principle , contraction (grammar) , contraction mapping , mathematics , banach space , nonlinear system , pure mathematics , mathematical analysis , physics , philosophy , linguistics , quantum mechanics

We extend the application of nearly contraction mapping principle introduced by Sahu (2005) for existence of fixed points of demicontinuous mappings to certain hemicontinuous nearly Lipschitzian nonlinear mappings in Banach spaces. We have applied certain results due to Sahu (2005) to obtain conditions for existence—and to introduce an asymptotic iterative process for construction—of fixed points of these hemicontractions with respect to a new auxiliary operator.

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