scholarly journals A fixed point theorem for multivalued mappings in topological vector spaces

1980 ◽  
Vol 109 (2) ◽  
pp. 163-167 ◽  
Author(s):  
O. Hadžić ◽  
Lj. Gajić
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Vector Spaces ◽  
Multivalued Mappings ◽  
Topological Vector Spaces

scholarly journals Existence of solutions for generalized nonlinear vector quasi-variational-like inequalities with set-valued mappings

Filomat ◽  
2012 ◽  
Vol 26 (5) ◽  
pp. 909-916 ◽  
Author(s):  
Shamshad Husain ◽  
Sanjeev Gupta
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Existence Theorem ◽  
Point Theorem ◽  
Existence Of Solutions ◽  
Vector Spaces ◽  
Topological Vector Spaces ◽  
Set Valued Mappings ◽  
Nonlinear Vector ◽  
Locally Convex

In this paper, we introduce and study a class of generalized nonlinear vector quasi-variational- like inequalities with set-valued mappings in Hausdorff topological vector spaces which includes generalized nonlinear mixed variational-like inequalities, generalized vector quasi-variational-like inequalities, generalized mixed quasi-variational-like inequalities and so on. By means of fixed point theorem, we obtain existence theorem of solutions to the class of generalized nonlinear vector quasi-variational-like inequalities in the setting of locally convex topological vector spaces.

scholarly journals Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps

2018 ◽  
Vol 7 (3) ◽  
pp. 307-311 ◽  
Author(s):  
Najla Altwaijry ◽  
Souhail Chebbi ◽  
Hakim Hammami ◽  
Pascal Gourdel
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Large Class ◽  
Point Theorem ◽  
Vector Spaces ◽  
Compact Set ◽  
Topological Vector Spaces ◽  
Locally Convex

AbstractWe give a generalized version of the well-known Borsuk’s antipodal fixed point theorem for a large class of antipodally approachable condensing or compact set-valued maps defined on closed subsets of locally convex topological vector spaces. These results contain corresponding results obtained in the literature for compact set-valued maps with convex values.

Fixed point theorem in subsets of topological vector spaces

2005 ◽  
Vol 340 (11) ◽  
pp. 815-818
Author(s):  
Youcef Askoura ◽  
Christiane Godet-Thobie
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Vector Spaces ◽  
Topological Vector Spaces

scholarly journals Some fixed point theorems for nonconvex spaces

1998 ◽  
Vol 21 (1) ◽  
pp. 133-137 ◽  
Author(s):  
F. Jafari ◽  
V. M. Sehgal
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Vector Spaces ◽  
Topological Vector Spaces ◽  
Ky Fan

We give a theorem for nonconvex topological vector spaces which yields the classical fixed point theorems of Ky Fan, Kim, Kaczynski, Kelly and Namioka as immediate consequences, and prove a new fixed point theorem for set-valued maps on arbitrary topological vector spaces.

scholarly journals A Fixed Point Theorem for Multivalued Mappings withδ-Distance

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Özlem Acar ◽  
Ishak Altun
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Complete Metric Space ◽  
Multivalued Mappings

We mainly study fixed point theorem for multivalued mappings withδ-distance using Wardowski’s technique on complete metric space. Let(X,d)be a metric space and letB(X)be a family of all nonempty bounded subsets ofX. Defineδ:B(X)×B(X)→Rbyδ(A,B)=supd(a,b):a∈A,b∈B.Consideringδ-distance, it is proved that if(X,d)is a complete metric space andT:X→B(X)is a multivalued certain contraction, thenThas a fixed point.

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