Search

Your search keyword '"Kumam, Poom"' showing total 2 results
2 results on '"Kumam, Poom"'

1. Fixed Points for Weak α-ψ-Contractions in Partial Metric Spaces.

Author

Kumam, Poom, Vetro, Calogero, and Vetro, Francesca

Subjects
*FIXED point theory, *METRIC spaces, *MATHEMATICAL mappings, *GENERALIZATION, *MATHEMATICAL models
Abstract

Recently, Samet et al. (2012) introduced the notion of α-ψ-contractive mappings and established some fixed point results in the setting of complete metric spaces. In this paper, we introduce the notion of weak α-ψ-contractive mappings and give fixed point results for this class of mappings in the setting of partial metric spaces. Also, we deduce fixed point results in ordered partial metric spaces. Our results extend and generalize the results of Samet et al. [ABSTRACT FROM AUTHOR]

Published
2013
Full Text
View/download PDF

2. Implicit-Relation-Type Cyclic Contractive Mappings and Applications to Integral Equations.

Author

Nashine, Hemant Kumar, Kadelburg, Zoran, and Kumam, Poom

Subjects
*MATHEMATICAL mappings, *INTEGRAL equations, *METRIC spaces, *EXISTENCE theorems, *UNIQUENESS (Mathematics), *FIXED point theory
Abstract

We introduce an implicit-relation-type cyclic contractive condition for a map in a metric space and derive existence and uniqueness results of fixed points for such mappings. Examples are given to support the usability of our results. At the end of the paper, an application to the study of existence and uniqueness of solutions for a class of nonlinear integral equations is presented. [ABSTRACT FROM AUTHOR]

Published
2012
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results