scholarly journals Some Extensions of Banach's Contraction Principle in Complete Cone Metric Spaces

2008 ◽  
Vol 2008 (1) ◽  
pp. 768294 ◽  
Author(s):  
P Raja ◽  
SM Vaezpour
Keyword(s):  
Metric Spaces ◽  
Contraction Principle ◽  
Cone Metric Spaces ◽  
Banach’S Contraction Principle ◽  
Cone Metric

scholarly journals Some significant remarks on multivalued Perov type contractions on cone metric spaces with a directed graph

2021 ◽  
Vol 7 (1) ◽  
pp. 187-198
Author(s):  
Ana Savić ◽  
◽  
Nicola Fabiano ◽  
Nikola Mirkov ◽  
Aleksandra Sretenović ◽  
...  
Keyword(s):  
Fixed Point ◽  
Recent Work ◽  
Directed Graph ◽  
Metric Spaces ◽  
Contraction Principle ◽  
Cone Metric Spaces ◽  
Fixed Point Result ◽  
Published Paper ◽  
Banach’S Contraction Principle ◽  
Cone Metric

<abstract><p>Using the approach of so-called c-sequences introduced by the fifth author in his recent work, we give much simpler and shorter proofs of multivalued Perov's type results with respect to the ones presented in the recently published paper by M. Abbas et al. Our proofs improve, complement, unify and enrich the ones from the recent papers. Further, in the last section of this paper, we correct and generalize the well-known Perov's fixed point result. We show that this result is in fact equivalent to Banach's contraction principle.</p></abstract>

scholarly journals Existence and uniqueness of continuous solution of mixed type integra equations in cone metric space

1970 ◽  
Vol 7 (1) ◽  
pp. 48-55 ◽  
Author(s):  
HL Tidke ◽  
CT Aage ◽  
JN Salunke
Keyword(s):  
Metric Space ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Contractive Mapping ◽  
Cone Metric Space ◽  
Cone Metric Spaces ◽  
Fredholm Type ◽  
Type Integral ◽  
Banach’S Contraction Principle ◽  
Cone Metric

In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equations in cone metric spaces. The result is obtained by using the some extensions of Banach's contraction principle in complete cone metric space. Mathematics Subject Classification: 45N05, 47G20, 34K05, 47H10. Keywords: Cone metric space, Contractive mapping, ordered Banach space. DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5421 KUSET 2011; 7(1): 48-55

scholarly journals Dugundji’s theorem for cone metric spaces

2011 ◽  
Vol 24 (3) ◽  
pp. 387-390 ◽  
Author(s):  
Kieu Phuong Chi ◽  
Tran Van An
Keyword(s):  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Cone Metric
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