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

General Topology · Mathematics 2007-05-23 Duran Turkoglu , Brian Fisher

The paper discusses the conditions for the existence of fixed points of multivalued mappings that are not based on the linear structure of the set. The descriptions for the sets of fixed points for mappings with closed graph in compact…

General Topology · Mathematics 2016-02-23 Dmitrii Serkov

The behavior of a class of mappings of a domain of Euclidean space is studied. It is established that the indicated class is equicontinuous both at the inner and at the boundary points of the domain if the mappings contained in it satisfy…

Metric Geometry · Mathematics 2019-11-05 E. A. Sevost'yanov , S. O. Skvortsov

In this paper, some results on the existence of n-tuplet fixed points for multi-valued contraction mappings are proved via measure of noncompactness. As an application, the existence of solutions for a system of integral inclusions is…

Functional Analysis · Mathematics 2020-02-04 Derya Sekman , Nour El Houda Bouzara , Vatan Karakaya

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…

Functional Analysis · Mathematics 2021-09-21 Driss Mentagui , Azennar Radouane

The main purpose of this work is to extend the properties of multivalued transformations to the integral type transformations and to obtain the existence of fixed points under F-contraction. In addition, the results of this study were…

General Mathematics · Mathematics 2020-02-04 Derya Sekman , Vatan Karakaya

We introduce and study a general concept of multiple fixed point for mappings defined on partially ordered distance spaces in the presence of a contraction type condition and appropriate monotonicity properties. This notion and the obtained…

General Mathematics · Mathematics 2017-01-04 Mitrofan M. Choban , Vasile Berinde

This article presents a deep investigation of fixed points for multivalued weak contractions in cone metric spaces. We extend Berinde weak contraction principles to the multivalued setting in cone metric spaces, developing existence,…

Functional Analysis · Mathematics 2025-08-13 Elvin Rada

In this paper, we propose criteria for unboundedness of the images of set-valued mappings having closed graphs in Euclidean spaces. We focus on mappings whose domains are non-closed or whose values are connected. These criteria allow us to…

Optimization and Control · Mathematics 2024-09-24 Vu Trung Hieu , Elisabeth Anna Sophia Köbis , Markus Arthur Köbis , Paul Hugo Schmölling

In this paper, we prove some common coupled fixed point theorems for mappings satisfying different contractive conditions in the context of complete $C^*$-algebra-valued metric spaces. Moreover, the paper provides an application to prove…

Operator Algebras · Mathematics 2020-10-06 Tianqing Cao , Qiaoling Xin

This article is devoted to the study of mappings with branch points whose characteristics satisfy integral-type constraints. We have proved theorems concerning their local and global behavior. In particular, we established the…

Complex Variables · Mathematics 2021-01-25 Evgeny Sevost'yanov

In this paper we study the existence and uniqueness of fixed points of a class of mappings defined on complete, (sequentially compact) cone metric spaces, without continuity conditions and depending on another function.

Functional Analysis · Mathematics 2009-06-12 José R. Morales , Edixon Rojas

We study a local behavior of one class of mappings, which are defined in a domain of $n$-measured Euclidean space, in a case, when corresponding images of this domain are variable. Under some conditions on a function defining a behavior of…

Complex Variables · Mathematics 2017-01-18 E. A. Sevost'yanov , S. A. Skvortsov

In this paper, the existence of coincidence points and common fixed points for multivalued mappings satisfying certain graphic {\psi}-contraction contractive conditions with set-valued domain endowed with a graph, without appealing to…

General Mathematics · Mathematics 2016-06-17 Sergei Silvestrov , Talat Nazir

In this paper we are going to prove a very general fixed point theorem for mappings acting in partial metric spaces. In that theorem we impose some conditions on behavior of considered mappings on orbits and a condition relating orbits of…

General Topology · Mathematics 2023-12-27 Dariusz Bugajewski , Piotr Maćkowiak

The fixed-point theory and its applications to various areas of science are well known. In this paper we present some existence and uniqueness theorems for fixed circles of self-mappings on metric spaces with geometric interpretation. We…

Metric Geometry · Mathematics 2025-06-03 Nihal Yilmaz Özgür , Nihal Taş

In this paper, we introduce a generalized notion of monotone property and prove some results regarding existence and uniqueness of multi-tupled fixed points for nonlinear contraction mappings satisfying monotone property in ordered complete…

Functional Analysis · Mathematics 2016-10-04 Aftab Alam , Mohammad Imdad , Stojan Radenovic

In this paper, we study the existence of common fixed points of family of multivalued mappings satisfying generalized F-contractive conditions in ordered metric spaces. These results establish some of the general common fixed point theorems…

General Mathematics · Mathematics 2016-06-17 Talat Nazir , Sergei Silvestrov

We introduce a large scale analogue of the classical fixed-point property for continuous maps, which shall apply to coarse maps. We also develop a coarse version of degree for coarse maps on Euclidean spaces. Then, applying a coarse…

Algebraic Topology · Mathematics 2010-08-31 Steven Hair

The paper studies coincidence points of parameterized set-valued mappings (multifunctions), which provide an extended framework to cover several important topics in variational analysis and optimization that include the existence of…

Optimization and Control · Mathematics 2022-03-23 Aram V. Arutyunov , Boris S. Mordukhovich , Sergey E. Zhukovskiy
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