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Abstract and Applied Analysis
Volume 2014, Article ID 505067, 9 pages
http://dx.doi.org/10.1155/2014/505067
Research Article

Some Common Fixed Point Results for Modified Subcompatible Maps and Related Invariant Approximation Results

Department of Mathematics, Maharshi Dayanand University, Rohtak, Haryana 124001, India

Received 28 April 2014; Accepted 1 June 2014; Published 14 July 2014

Academic Editor: Kyung Soo Kim

Copyright © 2014 Savita Rathee and Anil Kumar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We improve the class of subcompatible self-maps used by (Akbar and Khan, 2009) by introducing a new class of noncommuting self-maps called modified subcompatible self-maps. For this new class, we establish some common fixed point results and obtain several invariant approximation results as applications. In support of the proved results, we also furnish some illustrative examples.
{"cc_re__cc_re__cc_by_3_0": ["avita Rathee</a> and <a href=\"/84640267/\">Anil Kumar</a>      \r\n        </div>\r\n\r\n\r\n         <p>Department of Mathematics, Maharshi Dayanand University, Rohtak, Haryana 124001, India<br /></p>\r\n           \r\n      \r\n\r\n\r\n\r\n\r\n<p>Received 28 April 2014; Accepted 1 June 2014; Published 14 July 2014</p>                \r\n<p>Academic Editor: Kyung Soo Kim</p>    <div class=\"xml-content\">\r\n        <p>Copyright &#xA9; 2014 Savita Rathee and Anil Kumar. This is an open access article distributed under the <a rel=\"license\" href=\"http://creativecommons.org/licenses/by/3.0/\">  Creative Commons Attribution License</a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.\r\n        </p>\r\n    </div>\r\n<div id=\"divXMLContent\" class=\"xml-content\">\r\n<h4>Abstract</h4><p>We improve the class of subcompatible self-maps used by (Akbar and Khan, 2009) by introducing a new class of noncommuting self-maps called modified subcompatible self-maps. For this new class, we establish some common fixed point results a"], "copyright__copyright__copyright": ["stricted use, distribution, and reproduction in any medium, provided the original work is properly cited.\n\nAbstract\n\nWe improve the class of subcompatible self-maps used by (Akbar and Khan, 2009) by introducing a new class of noncommuting self-maps called modified subcompatible self-maps. For this new class, we establish some common fixed point results and obtain several invariant approximation results as applications. In support of the proved results, we also furnish some illustrative examples.", "stricted use, distribution, and reproduction in any medium, provided the original work is properly cited.\n\nAbstract\n\nWe improve the class of subcompatible self-maps used by (Akbar and Khan, 2009) by introducing a new class of noncommuting self-maps called modified subcompatible self-maps. For this new class, we establish some common fixed point results and obtain several invariant approximation results as applications. In support of the proved results, we also furnish some illustrative examples.", "stricted use, distribution, and reproduction in any medium, provided the original work is properly cited.\n\nAbstract\n\nWe improve the class of subcompatible self-maps used by (Akbar and Khan, 2009) by introducing a new class of noncommuting self-maps called modified subcompatible self-maps. For this new class, we establish some common fixed point results and obtain several invariant approximation results as applications. In support of the proved results, we also furnish some illustrative examples.", "stricted use, distribution, and reproduction in any medium, provided the original work is properly cited.\n\nAbstract\n\nWe improve the class of subcompatible self-maps used by (Akbar and Khan, 2009) by introducing a new class of noncommuting self-maps called modified subcompatible self-maps. For this new class, we establish some common fixed point results and obtain several invariant approximation results as applications. In support of the proved results, we also furnish some illustrative examples.", "stricted use, distribution, and reproduction in any medium, provided the original work is properly cited.\n\nAbstract\n\nWe improve the class of subcompatible self-maps used by (Akbar and Khan, 2009) by introducing a new class of noncommuting self-maps called modified subcompatible self-maps. For this new class, we establish some common fixed point results and obtain several invariant approximation results as applications. In support of the proved results, we also furnish some illustrative examples."]}