Banach’s Contraction Principle for Nonlinear Contraction Mappings in Modular Metric Spaces

2016 ◽  
Vol 40 (1) ◽  
pp. 335-344
Author(s):  
Juan Martínez-Moreno ◽  
Wutiphol Sintunavarat ◽  
Poom Kumam
Keyword(s):  
Metric Spaces ◽  
Contraction Principle ◽  
Contraction Mappings ◽  
Modular Metric Spaces ◽  
Nonlinear Contraction ◽  
Banach’S Contraction Principle

scholarly journals Fixed point theorems for contraction mappings in modular metric spaces

2011 ◽  
Vol 2011 (1) ◽  
pp. 93 ◽  
Author(s):  
Chirasak Mongkolkeha ◽  
Wutiphol Sintunavarat ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Modular Metric Spaces

scholarly journals Tripled Fixed Points of Multivalued Nonlinear Contraction Mappings in Partially Ordered Metric Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Mujahid Abbas ◽  
Hassen Aydi ◽  
Erdal Karapınar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Ordered Metric Spaces ◽  
Tripled Fixed Point ◽  
Contraction Mappings ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Nonlinear Contraction

Berinde and Borcut (2011), introduced the concept of tripled fixed point for single mappings in partially ordered metric spaces. Samet and Vetro (2011) established some coupled fixed point theorems for multivalued nonlinear contraction mappings in partially ordered metric spaces. In this paper, we obtain existence of tripled fixed point of multivalued nonlinear contraction mappings in the framework of partially ordered metric spaces. Also, we give an example.

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 A New Nonlinear Contraction Principle in Partial Metric Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Yi Zhang ◽  
Jiang Zhu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Metric Spaces ◽  
Bounded Solution ◽  
Contraction Principle ◽  
Partial Metric ◽  
System Of Functional Equations ◽  
Nonlinear Contraction ◽  
Partial Metric Spaces

We present a new nonlinear contraction principle on partial metric spaces and prove the existence of common fixed point. We also give some examples to show our results and apply our results to study the existence of common bounded solution of the system of functional equations.

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