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Your search keyword '"Integral equation"' showing total 2 results
2 results on '"Integral equation"'

1. A note on some recent fixed point results for cyclic contractions in b-metric spaces and an application to integral equations.

Author

Radenović, Stojan, Došenović, Tatjana, Lampert, Tatjana Aleksić, and Golubovíć, Zorana

Subjects
*FIXED point theory, *METRIC spaces, *INTEGRAL equations, *MATHEMATICAL equivalence, *MATHEMATICAL mappings, *MATHEMATICAL proofs
Abstract

In this paper we obtain some equivalences between cyclic contractions and non-cyclic contractions in the framework of b -metric spaces. Our results improve and complement several recent fixed point results for cyclic contractions in b -metric spaces established by George et al. (2015) and Nashine et al. (2014). Moreover, all the results are with much shorter proofs. In addition, an application to integral equations is given to illustrate the usability of the obtained results. [ABSTRACT FROM AUTHOR]

Published
2016
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2. Cyclic generalized -weakly contractive mappings and fixed point results with applications to integral equations

Author

Nashine, Hemant Kumar

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

Abstract: We introduce a cyclic generalized -weakly contractive mappings for a map in a metric space and originate 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 results, an application to the study of existence and uniqueness of solutions for a class of nonlinear integral equations is presented. [Copyright &y& Elsevier]

Published
2012
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