Triple fixed point theorems via α-series in partially ordered metric spaces

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Vats R. K., TAŞ K., Sihag V., Kumar A.

Journal of Inequalities and Applications, vol.2014, no.1, 2014 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2014 Issue: 1
  • Publication Date: 2014
  • Doi Number: 10.1186/1029-242x-2014-176
  • Journal Name: Journal of Inequalities and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Compatible mappings, Partially ordered metric space, Tripled coincidence point, Tripled fixed point, α-series
  • Uşak University Affiliated: No

Abstract

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 α-series for sequence of mappings, introduced by Sihag et al. (Quaest. Math. 37:1-6,2014), in the setting of partially ordered metric spaces. © 2014 Vats et al.; licensee Springer.