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Coupled points in ordered generalized metric spaces and application to integro-dierential equations

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 21 (2013): Issue 3 (November 2013)

By: Nguyen Van Luong and Nguyen Xuan Thuan

Open Access

|Mar 2014

Abstract

In this paper, we prove some coupled fixed point theorems for O-compatible mappings in partially ordered generalized metric spaces under certain conditions to extend and complement the recent fixed point theorems due to Bhaskar and Lakshmikantham [Nonlinear Anal. TMA 65 (2006) 1379 - 1393] and Berinde [Nonlinear Anal. TMA 74 (2011) 7347-7355]. We give some examples to illustrate our results. An application to integro-differential equations is also given.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2013-0050 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 155 - 180

Published on: Mar 5, 2014

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Coupled coincidence point,

Coupled fixed point,

Mixed monotone property,

O-compatible mappings,

integro-differential equations

Related subjects:

General mathematics

© 2014 Nguyen Van Luong, Nguyen Xuan Thuan, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.

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