Fixed Points of Multivalued Nonself Almost Contractions-Reference-Cited by-同舟云学术

Fixed Points of Multivalued Nonself Almost Contractions

Published:2013 Issue: Volume:2013 Page:1-6
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Alghamdi Maryam A.¹,Berinde Vasile²,Shahzad Naseer³

Affiliation:

1. Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, P.O. Box 4087, Jeddah 21491, Saudi Arabia

2. Department of Mathematics and Computer Science, North University of Baia Mare, Baia Mare, Romania

3. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21859, Saudi Arabia

Abstract

We consider multivalued nonself-weak contractions on convex metric spaces and establish the existence of a fixed point of such mappings. Presented theorem generalizes results of M. Berinde and V. Berinde (2007), Assad and Kirk (1972), and many others existing in the literature.

Funder

Deanship of Scientific Research, King Abdulaziz University, Jeddah

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2013/621614.pdf

Reference43 articles.

1. Multi-valued contraction mappings

2. Fixed point theorems for set-valued mappings of contractive type

3. A remark on Rhoades fixed point theorem for non-self mappings

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