## Abstract and Applied Analysis

### New Results and Generalizations for Approximate Fixed Point Property and Their Applications

#### Abstract

We first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable functions and $\alpha$-admissible multivalued maps. As applications of our results, some new fixed point theorems which generalize and improve Du's fixed point theorem, Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, and Nadler's fixed point theorem and some well-known results in the literature are given.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 581267, 9 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412606981

Digital Object Identifier
doi:10.1155/2014/581267

Mathematical Reviews number (MathSciNet)
MR3178876

Zentralblatt MATH identifier
07022651

#### Citation

Du, Wei-Shih; Khojasteh, Farshid. New Results and Generalizations for Approximate Fixed Point Property and Their Applications. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 581267, 9 pages. doi:10.1155/2014/581267. https://projecteuclid.org/euclid.aaa/1412606981

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