A generalization of Ciric fixed point theorems-Reference-Cited by-同舟云学术

A generalization of Ciric fixed point theorems

Published:2015 Issue:7 Volume:29 Page:1549-1556
ISSN:0354-5180
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language:en
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Author:

Kumam Poom¹,van Dung²,Sitthithakerngkiet Kanokwan³

Affiliation:

1. King Mongkut’s University of Technology Thonburi (KMUTT), Department of Mathematics, Faculty of Science, Bang Mod, Thung Khru, Bangkok, Thailand

2. Duy Tan University, Institute of Research and Development, Da Nang, Viet Nam

3. King Mongkut’s University of North Bangkok (KMUTNB), Faculty of Applied Science, Department of Mathematics, Nonlinear Dynamic Analysis Research Center, Wongsawang, Bangsue, Bangkok, Thailand

Abstract

In this paper, we state and prove a generalization of Ciric fixed point theorems in metric space by using a new generalized quasi-contractive map. These theorems extend other well known fundamental metrical fixed point theorems in the literature (Banach [1], Kannan [11], Nadler [13], Reich [15], etc.) Moreover, a multi-valued version for generalized quasi-contraction is also established.

Publisher

National Library of Serbia

Subject

General Mathematics

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