scholarly journals Fixed Point Theorem of Half-Continuous Mappings on Topological Vector Spaces

2010 ◽  
Vol 2010 ◽  
pp. 1-11 ◽  
Author(s):  
Imchit Termwuttipong ◽  
Thanatkrit Kaewtem
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Vector Spaces ◽  
Topological Vector Spaces ◽  
Continuous Mappings

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.

Fixed Points for Dissipative-Repulsive Systems and Topological Dynamics of Mappings Defined on N-dimensional Cells

2005 ◽  
Vol 5 (3) ◽  
Author(s):  
Marina Pireddu ◽  
Fabio Zanolin
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Topological Dynamics ◽  
Continuous Mappings ◽  
Expansion Condition ◽  
Dimensional Cell

AbstractWe prove a fixed point theorem for continuous mappings which satisfy a compression-expansion condition on the boundary of a N-dimensional cell of ℝ

scholarly journals A Common Fixed Point Theorem in Metric Space under General Contractive Condition

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Sunny Chauhan ◽  
Zoran Kadelburg ◽  
Sumitra Dalal
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Contractive Condition ◽  
Continuous Mappings ◽  
Common Fixed Point Theorem

We prove a common fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings satisfying a general contractive condition in a metric space. Some illustrative examples are furnished to highlight the realized improvements. Our result improves the main result of Sedghi and Shobe (2007).

scholarly journals A fixed point theorem for uniformly Lipschitzian mappings in modular vector spaces

Filomat ◽  
2017 ◽  
Vol 31 (17) ◽  
pp. 5435-5444 ◽  
Author(s):  
M Alfuraidan ◽  
M.A. Khamsi ◽  
N. Manav
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Variable Exponent ◽  
Normal Structure ◽  
Vector Spaces ◽  
Structure Property ◽  
Uniform Normal Structure ◽  
Lipschitzian Mappings

We give a fixed point theorem for uniformly Lipschitzian mappings defined in modular vector spaces which have the uniform normal structure property in the modular sense. We also discuss this result in the variable exponent space lp(.) = {(xn) ? RN; ?? n=0 ??xn?p(n) < ? for some ? > 0.

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