Approximate fixed point theorems for the generalized Ψ-set contraction mappings on an almost Φ-space

doi:10.1016/j.aml.2009.09.003

Applied Mathematics Letters

Volume 23, Issue 2, February 2010, Pages 152-155

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Abstract

In this paper, we use the conception of the abstract convexity to define the almost $S - K K M_{C}$ mapping, $a l - S - K K M_{c} (X, Y, Z)$ family, and almost $Φ$ -spaces. In the setting of the almost $Φ$ -spaces, we establish some new fixed point theorems for the $a l - S - K K M_{c}$ type set-valued mapping which is a generalized $Ψ$ -set contraction mapping. Our results generalize the results of Amini et al. (2007) [4].

Keywords

Abstract convex space

Fixed point theorem

Almost

Φ

-space

Generalized

Ψ

-set contraction mapping