<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Department of Natural Sciences, Hong Duc University, Thanh Hoa, Vietnam

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

In this paper, we prove some coupled fixed point theorems for O-compatible mappings in partially ordered generalized metric spaces under certain conditions to...

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

Published Online: Mar 05, 2014

Page range: 155 - 180

DOI: https://doi.org/10.2478/auom-2013-0050

Keywords
Coupled coincidence point, Coupled fixed point, Mixed monotone property, O-compatible mappings, integro-differential equations

This content is open access.

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

Published Online: Mar 05, 2014

Page range: 155 - 180

DOI: https://doi.org/10.2478/auom-2013-0050

KeywordsCoupled coincidence point, Coupled fixed point, Mixed monotone property, O-compatible mappings, integro-differential equations

This content is open access.

Keywords
Coupled coincidence point, Coupled fixed point, Mixed monotone property, O-compatible mappings, integro-differential equations