Coincidence and Fixed Point for Weakly Reciprocally Continuous Single-Valued and Multi-Valued Maps

• Main Authors: Gairola Ajay, Singh Jay, Joshi Mahesh C.
• Format: Article
• Language: English
• Published: De Gruyter 2014-07-01
• Series: Demonstratio Mathematica
• Subjects: and phrases: reciprocally continuous; weakly reciprocally continuous; compatible maps; R-weak commutativity of type Af
• Online Access: http://www.degruyter.com/view/j/dema.2014.47.issue-3/dema-2014-0056/dema-2014-0056.xml?format=INT
• ISSN: 0420-1213; 2391-4661

In the present paper, we extend the concept ofWeak Reciprocal Continuity for a hybrid pair of single-valued and multi-valued maps and introduce (T; f)-completeness of the space. Further, we establish some results on the existence of coincidence and fixed points for the hybrid pair of maps. Our results generalize several well known results available in the literature