Some new cyclic admissibility type with uni-dimensional and multidimensional fixed point theorems and its applications

摘要

In this paper, we introduce the concept of a cyclic ((lpha,eta))-admissible mapping type (S) and the notion of an ((lpha,eta)$-$(psi,arphi))-contraction type (S).We also establish fixed point results for such contractions along with the cyclic ((lpha,eta))-admissibility type (S) in complete (b)-metric spacesand provide some examples for supporting our result. Applying our new results, we obtain fixed point results for cyclic mappings and multidimensional fixed point results.As application, the existence of a solution of the nonlinear integral equation is discussed.