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Generalized contraction mappings of rational type and applications to nonlinear integral equations

Generalized contraction mappings of rational type and applications to nonlinear integral equations

The aim of the present paper is to introduce a new class of pair of contraction mappings, called ψ − (α, β, m)-contraction pairs, and obtain common fixed point theorems for a pair of mappings in this class, satisfying a minimal commutativity condition. Afterwards, we will use mappings in this …