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We obtain new equilibrium theorems for fuzzy abstract economies with correspondences being w-upper semicontinuous or having e-USS-property.

最优化与控制 · 数学 2013-04-01 Monica Patriche

We introduce the notions of w-lower semicontinuous and almost w-lower semicontinuous correspondence with respect to a given set and prove a new fixed-point theorem. We also introduce the notion of correspondence with e-LSCS-property. As…

最优化与控制 · 数学 2013-03-29 Monica Patriche

In this paper, we firstly prove the existence of the equilibrium for the generalized abstract economy. We apply these results to show the existence of solutions for systems of vector quasi-equilibrium problems with multivalued trifunctions.…

最优化与控制 · 数学 2015-07-07 Monica Patriche

We introduce several classes of set-valued maps with generalized convexity. We obtain minimax theorems for set-valued maps which satisfy the introduced properties and are not continuous, by using a fixed point theorem for weakly naturally…

最优化与控制 · 数学 2015-10-09 Monica Patriche

The goal of this paper is to establish a general fixed point theorem for compact single-valued continuous mapping in Hausdorff p-vector spaces, and the fixed point theorem for upper semicontinuous set-valued mappings in Hausdorff locally…

泛函分析 · 数学 2023-04-13 George Xianzhi Yuan

We introduce the notions of weakly *-concave and weakly naturally quasi-concave correspondence and prove fixed point theorems and continuous selection theorems for these kind of correspondences. As applications in the game theory, by using…

最优化与控制 · 数学 2013-03-29 Monica Patriche

The main purpose of this paper is to find the fixed point in such cases where existing literature remain silent. In this paper we introduce partial completeness, a new type of contraction and many other definitions. Using this approach the…

泛函分析 · 数学 2018-03-23 Tawseef Rashid , Qamrul Haque Khan

In this paper we prove some new fixed point theorems for multivalued mappings on orbitally complete uniform spaces.

一般拓扑 · 数学 2007-05-23 Duran Turkoglu , Brian Fisher

We introduce the concept of $\it{ startpoint}$ and $\it{endpoint}$ for multivalued maps defined on a quasi-pseudometric space. We investigate the relation between these new concepts and the existence of fixed points for these set valued…

泛函分析 · 数学 2014-08-25 Yaé Ulrich Gaba

Startpoints (resp. endpoints) can be defined as "oriented fixed points". They arise naturally in the study of fixed for multi-valued maps defined on quasi-metric spaces. In this article, we give a new result in the startpoint theory for…

一般拓扑 · 数学 2018-04-02 Collins Amburo Agyingi , Yaé Ulrich Gaba

In this paper, we introduce an abstract fuzzy economy model with a measure space of agents which generalizes Patriche's model (2009), we obtain a theorem of fuzzy equilibrium existence and we prove the existence of the solutions for two…

最优化与控制 · 数学 2013-04-23 Monica Patriche

In this paper, we introduce several types of correspondences: weakly naturally quasiconvex, *-weakly naturally quasiconvex, weakly biconvex and correspondences with *--weakly convex graph and we prove some fixed point theorems for these…

最优化与控制 · 数学 2013-04-03 Monica Patriche

We introduce a new class of asymptotic contractions that employs two quasi-metrics defined directly in terms of the underlying mapping. The contraction condition compares these two quantities via a sequence of bounding functions that…

泛函分析 · 数学 2026-04-20 Jie Shi

In this paper by using the measure of noncompactness concept, we present new fixed point theorems for multivalued maps. In further we introduce a new class of mappings which are general than Meir-Keeler mappings. Finally, we use these…

泛函分析 · 数学 2020-02-04 Nour el Houda Bouzara , Vatan Karakaya

In this paper, we study some new fixed point results for self maps defined on partial metric type spaces. In particular, we give common fixed point theorems in the same setting. Some examples are given which illustrate the results.

一般拓扑 · 数学 2018-09-12 Yaé Ulrich Gaba

Fixed points represent equilibrium states, stability, and solutions to a range of problems. It has been an active field of research. In this paper, we provide an overview of the main branches of fixed point theory. We discuss the key…

历史与综述 · 数学 2023-09-08 Firuz Kamalov , Ho Hon Leung

We discuss some results concerning fixed point equations in the setting of topological *-algebras of unbounded operators. In particular, an existence result is obtained for what we have called {\em weak $\tau$ strict contractions}, and some…

数学物理 · 物理学 2007-05-23 F. Bagarello

We establish the first common fixed point theorem for commutative set-valued mappings. This may help to generalize common fixed point theorems in single-valued setting to those in set-valued. We also prove the existence of a fixed point in…

泛函分析 · 数学 2018-01-08 Issa Mohamadi

In this paper, we introduce a Bayesian abstract fuzzy economy model and we prove the Bayesian fuzzy equilibrium existence. As applications, we prove the existence of the solutions for two types of random quasi-variational inequalities with…

最优化与控制 · 数学 2013-05-01 Monica Patriche

We establish some new common fixed point theorems of single-valued and multivalued mappings operating between complete ordered locally convex spaces under weaker assumptions. As an application, we prove a new minimax theorem of existence of…

泛函分析 · 数学 2021-09-21 Driss Mentagui , Azennar Radouane
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