Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces

2012 ◽  
Vol 218 (14) ◽  
pp. 7339-7346 ◽  
Author(s):  
Marin Borcut
Keyword(s):  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Coincidence Theorems ◽  
Contractive Type

scholarly journals Tripled coincidence theorems for monotone mappings in partially ordered metric spaces

2012 ◽  
Vol 21 (2) ◽  
pp. 135-142
Author(s):  
MARIN BORCUT ◽  
Keyword(s):  
Metric Spaces ◽  
Monotone Mappings ◽  
Contractive Condition ◽  
Ordered Metric Spaces ◽  
Tripled Fixed Point ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Nonlinear Anal ◽  
Coincidence Theorems ◽  
Contractive Type

In this paper, we establish tripled coincidence point theorems for a pair of mappings F : X × X × X → X and g : X → X satisfying a nonlinear contractive condition ordered metric spaces. Presented theorems extend several existing results in the literature: [Borcut, M. and Berinde, V., Tripled coincidente point theorems for contractive type mappings in partially ordered metric spaces, Aplied Mathematics and Computation, 218 (2012), No. 10, 5929–5936], and Berinde, Borcut in article [Berinde, V., Borcut, M., Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal., 74 (2011), 4889-4897].

scholarly journals Some tripled coincidence point theorems for almost generalized contractions in ordered metric spaces

2012 ◽  
Vol 44 (3) ◽  
pp. 233-251 ◽  
Author(s):  
Erdal KARAPINAR ◽  
Hassen AYDI ◽  
Zead MUSTAFA
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Tripled Fixed Point ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Nonlinear Anal ◽  
Contractive Type ◽  
Common Fixed Point Theorems

In this paper, we prove tripledcoincidence and common fixed point theorems for $F: X\times X\times X\to X$ and $g:X\to X$ satisfying almost generalized contractions in partially ordered metric spaces. The presented results generalize the theorem of Berinde and Borcut Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal 74(15) (2011)4889--4897. Also, some examples are presented.

scholarly journals Coupled Coincidence Points for Mixed Monotone Random Operators in Partially Ordered Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Binghua Jiang ◽  
Shaoyuan Xu ◽  
Lu Shi
Keyword(s):  
Metric Spaces ◽  
Random Operators ◽  
Coincidence Points ◽  
Random Coincidence ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Coupled Coincidence Points ◽  
Coincidence Theorems ◽  
Coupled Coincidence

The aim of this work is to prove some coupled random coincidence theorems for a pair of compatible mixed monotone random operators satisfying weak contractive conditions. These results are some random versions and extensions of results of Karapınar et al. (2012). Our results generalize the results of Shatanawi and Mustafa (2012).

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