An Iterative Approximation Method for a Common Fixed Point of Two Pseudocontractive Mappings | Zendy

Habtu Zegeye | Zendy

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An Iterative Approximation Method for a Common Fixed Point of Two Pseudocontractive Mappings

Author(s) -

Habtu Zegeye

Publication year - 2011

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2011/621901

Subject(s) - fixed point , convergence (economics) , iterative and incremental development , mathematics , fixed point theorem , nonlinear system , regular polygon , iterative method , minification , class (philosophy) , mathematical optimization , discrete mathematics , computer science , mathematical analysis , physics , geometry , artificial intelligence , software engineering , quantum mechanics , economics , economic growth

We introduce an iterative process for finding an element in the common fixed point sets of two continuous pseudocontractive mappings. As a consequence, we provide an approximation method for a common fixed point of a finite family of pseudocontractive mappings. Furthermore, our convergence theorem is applied to a convex minimization problem. Our theorems extend and unify most of the results that have been proved for this class of nonlinear mappings.

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