Random quadruple coincidence points theorems for sequence of random mappings and application

Abstract

In this paper, we give the definitions of compatibility and weakly reciprocally continuity for sequence of random mappings T i and a random self-mapping g. Further, using these definitions we establish quadruple random coincidence and quadruple random fixed point results by applying the concept of an α-series for sequence of mappings, introduced by Sihag et al. [V. Sihag, R. K. Vats, C. Vetro, Quaest. Math., 37 (2014), 1-6], in the setting of partially ordered metric spaces. Our results are some random versions and extensions of results relating to triple fixed points theorems by R. K.