Supak Phiangsungnoen

Common α-fuzzy fixed point theorems for fuzzy mappings via

The object of this paper is to extend the concept of β-admissible for multivalued mappings due to Mohammadi et al. [B. Mohammadi, S. Rezapour and N. Shahzad, Some results on fixed points of α-ψ-Ciric generalized multifunctions, Fixed Point Theory and Applications 2013 (2013), 24] to fuzzy mappings and utilize this concept to prove a common α-fuzzy fixed point theorem for a pair of fuzzy mappings. We also give illustrative example which demonstrate the validity of the hypotheses of our results. Some related results to common fixed point for multivalued mappings are also derived from the main result.

\beta_\mathcal{F}

AbstractIn this paper, we prove the existence and uniqueness of a fixed point for some new classes of contractive mappings via α-admissible mappings in the framework of b-metric spaces. We also present an example to illustrate the usability of the obtained results. The generalized Ulam-Hyers stability and well-posedness of a fixed point equation via α-admissible mappings in b-metric spaces are given. MSC:46S40, 47S40, 47H10.

-admissible pair

The object of this paper is to using the fixed point methods, we prove the generalized Ulam-Hyer approximation of radical quadratic functional equation in random normed spaces.

Fixed point results, generalized Ulam-Hyers stability and well-posedness via α-admissible mappings in b-metric spaces

In this paper, we introduce and prove a fixed point theorem for \( (\alpha ,\psi ,\xi ) \)-generalized contractive multivalued mappings on collections of non-empty closed subsets. We also prove the \( \xi \)-generalized Ulam-Hyers stability results for fixed point inclusion. Finally, we provide illustrative example to support our main result.

On stability of radical quadratic functional equation in random normed spaces

The purpose of this paper is to introduce a new hybrid relaxed extragradient iterative method for finding a common element of the solution of set a equilibrium, variational inequality and the set of fixed point of a \(\xi \)-strict pseudocontraction mapping in Hilbert spaces. We obtain a strong convergence theorem of the purposed iterative algorithm under some suitable conditions. The results presented in this paper generalize, improve and extend some well-known results in the literature.

Fixed Point Theorem and Stability for (α, ψ, ξ)-Generalized Contractive Multivalued Mappings

In this paper, we extend the concept of contraction mappings in b-metric spaces and utilize this concept to prove the existence and uniqueness of fixed point theorems for such mappings in such a space. We also prove the generalized Ulam-Hyers stability and well-posed results for a fixed point equation employing the concept of α-admissibility in b-metric spaces. We shall construct some examples to support our novel results.MSC:46S40, 47S40, 47H10.