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2012•Abstract and Applied AnalysisOpen access

On Asymptotically Quasi‐ϕ‐Nonexpansive Mappings in the Intermediate Sense

Xiaolong Qin, Lin Wang

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Abstract

A projection iterative process is investigated for the class of asymptotically quasi‐ϕ‐nonexpansive mappings in the intermediate sense. Strong convergence theorems of common fixed points of a family of asymptotically quasi‐ϕ‐nonexpansive mappings in the intermediate sense are established in the framework of Banach spaces.

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What this paper is about

A projection iterative process is investigated for the class of asymptotically quasi‐ϕ‐nonexpansive mappings in the intermediate sense. Strong convergence theorems of common fixed points of a family of asymptotically quasi‐ϕ‐nonexpansive mappings in the intermediate sense are established in the framework of Banach spaces.

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Available abstract

A projection iterative process is investigated for the class of asymptotically quasi‐ϕ‐nonexpansive mappings in the intermediate sense. Strong convergence theorems of common fixed points of a family of asymptotically quasi‐ϕ‐nonexpansive mappings in the intermediate sense are established in the framework of Banach spaces.

Key concepts: Mathematics, Banach space, Sense (electronics), Fixed point, Convergence (economics), Pure mathematics, Class (philosophy), Projection (relational algebra)

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