Abstract
We prove the existence of tripled fixed points (TFPs) of a new generalized nonlinear contraction mapping in complete cone b-metric spaces (CCbMSs). Also, we present some exciting consequences as corollaries and three nontrivial examples. Finally, we find a solution for a tripled-system of integral equations (TSIE) and discussed a unique stationary distribution for the Markov process (SDMP).
Highlights
Introduction and elementary discussionNot knowing mathematics in a mathematically-driven world is like walking around a museum without looking at its walls
We present important notions of cone b-metric space (CbMS) used in our paper
Theorem 2.3 Let the mapping be an θ -contraction (1) defined on complete cone b-metric spaces (CCbMSs) (χ, ξ ) with the coefficient s ≥ 1 such that B is a solid cone with Q ∪ (–Q) = B and : χ → χ is a continuous and one-to-one
Summary
Introduction and elementary discussionNot knowing mathematics in a mathematically-driven world is like walking around a museum without looking at its walls.
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