Sentence examples for introduced a new condition from inspiring English sources
Further, in [6], Matsushita and Takahashi introduced a new condition (2.2).
In 2008, Suzuki [22] introduced a new condition on a mapping, called condition ((C)), which is weaker than nonexpansiveness.
In 2011, Garcia-Falset et al. [9] introduced a new condition on single-valued mappings, called condition (E), which is weaker than nonexpansiveness.
Recently, J. Garcia-Falset, E. Llorens-Fuster and T. Suzuki [1] introduced a new condition on singlevalued mappings, called condition (E), which is weaker than nonexpansiveness.
For criterion (I), Boikanyo and Morosanu [10] introduced a new condition: ∥ e n ∥ ≤ η n with lim n → ∞ η n λ n = 0. to ensure the convergence of the CPPA.
In this paper, we introduce a new condition and prove a unique common fixed-point theorem for hybrid mappings in partial metric spaces without using any standard arguments as commutativity and continuity conditions.
In this paper, we introduce a new condition namely, the (W.C.C) condition and give some Suzuki-type, unique, common fixed-point theorems for pairs of hybrid mappings in partial metric spaces using a partial Hausdorff metric.
In 1999, Pant [7] introduced a new continuity condition, known as reciprocal continuity, and obtained a common fixed point theorem by using the compatibility in metric spaces.
Motivated by the great impact of the models in the form of an integral equation and fractional differential equations of Caputo type, we introduced a new contractive condition by using the idea of a w-distance in metric spaces and established fixed point results for a mapping satisfying the purposed contractive condition.
