Mizoguchi-Takahashi’s Fixed Point Theorem withα,ηFunctions-Reference-Cited by-同舟云学术

Mizoguchi-Takahashi’s Fixed Point Theorem withα,ηFunctions

Published:2013 Issue: Volume:2013 Page:1-4
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ali Muhammad Usman¹,Kamran Tayyab²,Sintunavarat Wutiphol³^ORCID,Katchang Phayap⁴^ORCID

Affiliation:

1. Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, H-12, Islamabad, Pakistan

2. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

3. Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand

4. Division of Mathematics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Tak, Tak 63000, Thailand

Abstract

We introduce the notion of generalizedα*-admissible mappings. By using this notion, we prove a fixed point theorem. Our result generalizes Mizoguchi-Takahashi’s fixed point theorem. We also provide some examples to show the generality of our work.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/418798.pdf

Reference22 articles.

1. Multi-valued contraction mappings

2. Fixed point theorems for multivalued mappings on complete metric spaces

3. Fixed Points of Generalized Contractive Multi-valued Mappings

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