Nguyen Huu Hoc - Academia.edu (original) (raw)

Nguyen Huu Hoc

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Papers by Nguyen Huu Hoc

Research paper thumbnail of Existence of minima of functions in partial metric spaces and applications to fixed point theory

Acta Mathematica Hungarica

Research paper thumbnail of On nonlinear F-contractive fuzzy mappings

Journal of Intelligent & Fuzzy Systems, 2019

The aim of this paper is to obtain some (common) fuzzy fixed point theorems for fuzzy mappings co... more The aim of this paper is to obtain some (common) fuzzy fixed point theorems for fuzzy mappings concerning Fcontractions (the concept was introduced in [Wardowski, Fixed Point Theory and Applications, 94 (2012), 1-6]) and Feng-Liu type condition [Feng and Liu, Journal of Mathematical Analysis and Applications, 317 (2006) 103-112] in compelete metric spaces with/without using the Pompeiu-Hausdorff distance between α-level sets of fuzzy mappings. Our results generalize and strengthen various known results in the literature. An example and an application for the solution of a system of functional equations arising in dynamic programming are given to illustrate the usability of the obtained results.

Research paper thumbnail of Approximate fixed points and fixed points for multi-valued almost E-contractions

Topological Algebra and its Applications

In this paper, we introduce the concept of multi-valued almost E-contractions. We then present so... more In this paper, we introduce the concept of multi-valued almost E-contractions. We then present some approximate fixed point and fixed point results for such mappings in metric spaces. Our results generalize and improve several well-known results in literature. We also provide several illustrative examples to compare our findings with some earlier results. An application to homotopy theory is given.

Research paper thumbnail of Discussions on the fixed points of Suzuki–Edelstein E-contractions

Rendiconti del Circolo Matematico di Palermo Series 2

Recently, fixed point results via E -contractions (also called P- contractions in some papers) fo... more Recently, fixed point results via E -contractions (also called P- contractions in some papers) for self-mappings in metric spaces have been investigated. Some results generalize the well - known Edelstein’s theorem. In this paper, we provide some new fixed point theorems for mappings satisfying conditions of Edelstein - Suzuki type involving E -contractions. We also present several illustrative examples to compare our finding with some know results in the literature.

Research paper thumbnail of Existence of minima of functions in partial metric spaces and applications to fixed point theory

Acta Mathematica Hungarica

Research paper thumbnail of On nonlinear F-contractive fuzzy mappings

Journal of Intelligent & Fuzzy Systems, 2019

The aim of this paper is to obtain some (common) fuzzy fixed point theorems for fuzzy mappings co... more The aim of this paper is to obtain some (common) fuzzy fixed point theorems for fuzzy mappings concerning Fcontractions (the concept was introduced in [Wardowski, Fixed Point Theory and Applications, 94 (2012), 1-6]) and Feng-Liu type condition [Feng and Liu, Journal of Mathematical Analysis and Applications, 317 (2006) 103-112] in compelete metric spaces with/without using the Pompeiu-Hausdorff distance between α-level sets of fuzzy mappings. Our results generalize and strengthen various known results in the literature. An example and an application for the solution of a system of functional equations arising in dynamic programming are given to illustrate the usability of the obtained results.

Research paper thumbnail of Approximate fixed points and fixed points for multi-valued almost E-contractions

Topological Algebra and its Applications

In this paper, we introduce the concept of multi-valued almost E-contractions. We then present so... more In this paper, we introduce the concept of multi-valued almost E-contractions. We then present some approximate fixed point and fixed point results for such mappings in metric spaces. Our results generalize and improve several well-known results in literature. We also provide several illustrative examples to compare our findings with some earlier results. An application to homotopy theory is given.

Research paper thumbnail of Discussions on the fixed points of Suzuki–Edelstein E-contractions

Rendiconti del Circolo Matematico di Palermo Series 2

Recently, fixed point results via E -contractions (also called P- contractions in some papers) fo... more Recently, fixed point results via E -contractions (also called P- contractions in some papers) for self-mappings in metric spaces have been investigated. Some results generalize the well - known Edelstein’s theorem. In this paper, we provide some new fixed point theorems for mappings satisfying conditions of Edelstein - Suzuki type involving E -contractions. We also present several illustrative examples to compare our finding with some know results in the literature.

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