Contraction theory is a powerful tool for proving asymptotic properties of nonlinear dynamical systems including convergence to an attractor and entrainment to a periodic excitation.We consider generalizations of contractionwith respect to a norm that allow contraction to take place after small transients in time and/or amplitude. These generalized contractive systems (GCSs) are useful for seve...

‎we prove the existence of ppf dependent coincidence points for a pair of single-valued and multi-valued mappings satisfying generalized contractive conditions in banach spaces‎. ‎furthermore, the ppf dependent fixed point and ppf dependent common fixed point theorems for multi-valued mappings are proved.

In this paper, we introduce a generalized ?-implicit locally contractive condition and give some examples to support it show its significance in fixed point theory. We prove that the mappings satisfying admit common point, where ordered multiplicative GM-metric space is chosen as underlying space. The obtained theorems generalize many earlier on implicit mappings. addition, nontrivial interesti...

The aim of this work is to introduce the new property which is so called “common limit in the range” for four self-mappings and give some examples of mappings which satisfy this property. Moreover, we establish some new existence of a common fixed point theorem for generalized contractive mappings in fuzzy metric spaces by using new property and give some examples. Our results do not require th...

There are a lot of generalizations of the Banach contraction mapping principle in the literature. One of the most interesting of them is the result of Khan et al. 1 . They addressed a new category of fixed point problems for a single self-map with the help of a control function which they called an altering distance function. A function φ : 0,∞ → 0,∞ is called an altering distance function if φ...

in this paper, we prove some coupled coincidence point theorems for mappings satisfying generalized contractive conditions under a new invariant set in ordered cone metric spaces. in fact, we obtain sufficient conditions for existence of coupled coincidence points in the setting of cone metric spaces. some examples are provided to verify the effectiveness and applicability of our results.

The purpose of this paper is to prove end-point theorems for multivalued mappings satisfying comparatively a more general contractive condition in ordered complete metric spaces. Afterwards, we extend the results of previous sections and prove common end-point results for a pair of T-weakly isotone increasing multivalued mappings in the underlying spaces. Finally, we present common end point fo...