scholarly journals Fixed Point in Topological Vector Space-Valued Cone Metric Spaces

2010 ◽  
Vol 2010 (1) ◽  
pp. 604084 ◽  
Author(s):  
Akbar Azam ◽  
Ismat Beg ◽  
Muhammad Arshad
Keyword(s):  
Fixed Point ◽  
Vector Space ◽  
Topological Vector Space ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Cone Metric

scholarly journals Topological Vector Space-Valued Cone Metric Spaces and Fixed Point Theorems

2010 ◽  
Vol 2010 (1) ◽  
pp. 170253 ◽  
Author(s):  
Zoran Kadelburg ◽  
Stojan Radenović ◽  
Vladimir Rakočević
Keyword(s):  
Fixed Point ◽  
Vector Space ◽  
Topological Vector Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Cone Metric

Common Fixed Points for Maps on Topological Vector Space Valued Cone Metric Spaces

2009 ◽  
Vol 2009 ◽  
pp. 1-8 ◽  
Author(s):  
Ismat Beg ◽  
Akbar Azam ◽  
Muhammad Arshad
Keyword(s):  
Fixed Point ◽  
Vector Space ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Topological Vector Space ◽  
Metric Space ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Cone Metric Spaces ◽  
Cone Metric

We introduced a notion of topological vector space valued cone metric space and obtained some common fixed point results. Our results generalize some recent results in the literature.

scholarly journals On variations of quasi-cauchy sequences in cone metric spaces

Filomat ◽  
2016 ◽  
Vol 30 (3) ◽  
pp. 603-610 ◽  
Author(s):  
Hüseyin Çakallı
Keyword(s):  
Vector Space ◽  
Topological Vector Space ◽  
Metric Spaces ◽  
Uniform Continuity ◽  
Bounded Subset ◽  
Connected Subset ◽  
Cone Metric Spaces ◽  
Totally Bounded ◽  
Cauchy Sequences ◽  
Cone Metric

sequence (xn) of points in a topological vector space valued cone metric space (X,?) is called p-quasi-Cauchy if for each c ??K there exists an n0 ? N such that ?(xn+p,xn)- c ??K for n ? n0, where K is a proper, closed and convex pointed cone in a topological vector space Y with ?K?0. We investigate p-ward continuity in topological vector space valued cone metric spaces. It turns out that p-ward continuity coincides with uniform continuity not only on a totally bounded subset but also on a connected subset of X.

scholarly journals Slowly oscillating continuity in abstract metric spaces

Filomat ◽  
2013 ◽  
Vol 27 (5) ◽  
pp. 925-930 ◽  
Author(s):  
Hüseyin Çakallı ◽  
Ayșe Sӧnmez
Keyword(s):  
Vector Space ◽  
Compact Subset ◽  
Topological Vector Space ◽  
Metric Space ◽  
Metric Spaces ◽  
Continuous Functions ◽  
Cone Metric Space ◽  
Cone Metric Spaces ◽  
Uniformly Continuous ◽  
Cone Metric

In this paper, we investigate slowly oscillating continuity in cone metric spaces. It turns out that the set of slowly oscillating continuous functions is equal to the set of uniformly continuous functions on a slowly oscillating compact subset of a topological vector space valued cone metric space.

scholarly journals On an equivalence of topological vector space valued cone metric spaces and metric spaces

2012 ◽  
Vol 25 (3) ◽  
pp. 429-433 ◽  
Author(s):  
Hüseyi̇n Çakallı ◽  
Ayşe Sönmez ◽  
Çi̇ğdem Genç
Keyword(s):  
Vector Space ◽  
Topological Vector Space ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Cone Metric

scholarly journals On Complete Cone Metric Space and Fixed Point Theorem

2011 ◽  
Vol 3 (2) ◽  
pp. 303-309
Author(s):  
J. Mehta ◽  
M. L. Joshi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Cone Metric Space ◽  
Weakly Compatible Maps ◽  
Cone Metric Spaces ◽  
Weakly Compatible ◽  
Contractive Type ◽  
Cone Metric

We prove coincidence and common fixed point theorems of four self mappings satisfying a generalized contractive type condition in complete cone metric spaces. Our results generalize some well-known recent results.Keywords: Common fixed point; Complete cone metric space; Weakly compatible maps.© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi:10.3329/jsr.v3i2.6475                J. Sci. Res. 3 (2), 303-309 (2011)

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