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http://dx.doi.org/10.4134/CKMS.2009.24.1.041

UNIFYING A MULTITUDE OF COMMON FIXED POINT THEOREMS EMPLOYING AN IMPLICIT RELATION  

Ali, Javid (DEPARTMENT OF MATHEMATICS ALIGARH MUSLIM UNIVERSITY)
Imdad, Mohammad (DEPARTMENT OF MATHEMATICS ALIGARH MUSLIM UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.24, no.1, 2009 , pp. 41-55 More about this Journal
Abstract
A general common fixed point theorem for two pairs of weakly compatible mappings using an implicit function is proved without any continuity requirement which generalizes the result due to Popa [20, Theorem 3]. In process, several previously known results due to Fisher, Kannan, Jeong and Rhoades, Imdad and Ali, Imdad and Khan, Khan, Shahzad and others are derived as special cases. Some related results and illustrative examples are also discussed. As an application of our main result, we prove an existence theorem for the solution of simultaneous Hammerstein type integral equations.
Keywords
implicit functions; weakly compatible mappings; coincidence and fixed points;
Citations & Related Records

Times Cited By SCOPUS : 4
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