Sentence examples for fixed point hypothesis from inspiring English sources

As an aftereffect of the enormous applications in geometry of Banach spaces, spectral hypothesis, hypothesis of eigenvalue dispersions and fixed point hypothesis and so on, the hypothesis of operator ideal goals possesses an uncommon essentialness in useful examination.

For maps that are strongly competitive near the fixed point, hypothesis b. of Theorem 1.5 reduces just to.

In the present paper, we do not investigate the fixed point theory of higher-order Lipschitz mappings under the hypotheses in Theorems 1.6, 1.7 and 1.8 above.

Testing the set point hypothesis.

They have shown that every generalized fuzzy contractive sequence is M-Cauchy in respective fuzzy metric spaces and proved fuzzy contraction fixed point theorems under different hypotheses.

We conclude that T is an α-fuzzy Caristi mapping, and by hypothesis, it has a fixed point.

Section 2 shows that operator satisfies the hypothesis of the Banach fixed point theorem and thus the sequence converges to the solution of (1.1) for any However, such a sequence cannot be determined in an explicit way.

In [6], Roldán et al. proved that most of the multidimensional fixed point results can be derived from the existing fixed point theorems in the context of partially preordered metric spaces with the additional hypothesis of the mixed monotone property.

Under adequate hypotheses and using the Bohnenblust-Karlin fixed point theorem for multivalued mappings, the existence of solutions was established.

In this manuscript, replacing (2) by some new weaker hypotheses we also establish a common fixed point result for four self maps satisfying a generalized Meir-Keeler type contraction on partial metric spaces.

It is obvious that T satisfies all the aspects of the hypothesis of Theorem 3.1, so it has a fixed point.