Ulam-hyers stability results for fixed point problems via generalized multivalued almost contraction

Conference proceedings article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Phiangsungnoen S., Kumam P.

Publication year: 2014

Volume number: 2210

Issue number: January

ISSN: 2078-0958

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84938306168&partnerID=40&md5=ceaf3eaf62fe81e04762e72bbd46b32e

Languages: English-Great Britain (EN-GB)

Abstract

In this paper, we introduced the notion of a generalized multivalued (α, φ)-almost contractions and establish the existence of fixed point theorems for this class of mapping. The results presented in this paper generalize and extend some recent results in multivalued almost contraction. Also, we show its applications in the Ulam-Hyers stability of fixed point problems for multivalued operators.

Keywords

Almost contraction, Generalized multivalued almost contraction, Ulam-Hyers stability