Coupled Coincidence Points for Mixed Monotone Random Operators in Partially Ordered Metric Spaces

Jiang, Bing-Hua; Xu, Shaoyuan; Shi, Lu

doi:10.1155/2014/484857

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2016

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“…Random fixed point theorems for contraction mappings on separable complete metric spaces have been proved by several authors (see Refs. [6], [7], [8], [9], [11], [13], [14], [15], [20], [24], [25], [26]).…”

Section: Introductionmentioning

confidence: 99%

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

Yan¹,

Zhu²,

Wu³

2016

J. Nonlinear Sci. Appl.

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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.

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