Vats, Ramesh KumarTaş, KenanSihag, VizenderKumar, Amit2017-03-152017-03-152014Vats, R.K...et al. (2014). Triple fixed point theorems via alpha-series in partially ordered metric spaces. Triple fixed point theorems via alpha-series in partially ordered metric spaces. http://dx.doi.org/10.1186/1029-242X-2014-1761029-242Xhttp://hdl.handle.net/20.500.12416/1481This manuscript has two aims: first we extend the definitions of compatibility and weakly reciprocally continuity, for a trivariate mapping F and a self-mapping g akin to a compatible mapping as introduced by Choudhary and Kundu (Nonlinear Anal. 73:2524-2531, 2010) for a bivariate mapping F and a self-mapping g. Further, using these definitions we establish tripled coincidence and fixed point results by applying the new concept of an alpha-series for sequence of mappings, introduced by Sihag et al. (Quaest. Math. 37:1-6, 2014), in the setting of partially ordered metric spaces.eninfo:eu-repo/semantics/openAccessAlpha-SeriesCompatible MappingsTripled Coincidence PointTripled Fixed PointPartially Ordered Metric SpaceTriple fixed point theorems via alpha-series in partially ordered metric spacesTriple Fixed Point Theorems Via Alpha-Series in Partially Ordered Metric SpacesArticle10.1186/1029-242X-2014-176