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Browsing by Author "Vats, Ramesh Kumar"

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    Citation Count: Vats, 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-2014-176
    Triple fixed point theorems via alpha-series in partially ordered metric spaces
    (Springer International Publishing, 2014) Vats, Ramesh Kumar; Taş, Kenan; Sihag, Vizender; Kumar, Amit; 4971
    This 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.