scholarly journals Existence and uniqueness of a common fixed point on partial metric spaces

2011 ◽  
Vol 24 (11) ◽  
pp. 1900-1904 ◽  
Author(s):  
T. Abdeljawad ◽  
Erdal Karapınar ◽  
K. Taş
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces

Fixed point theorems for expansive mappings in Gp-metric spaces

2017 ◽  
Vol 26 (3) ◽  
pp. 297-308
Author(s):  
MELTEM KAYA ◽  
◽  
HASAN FURKAN ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Expansive Mapping ◽  
Partial Metric Spaces ◽  
Weak Compatibility

In the present paper, we adopt the concept of expansive mapping in the context of Gp-metric spaces in a similar manner expansive mapping in metric spaces. Furthermore, we obtain some results on fixed points of expansive type mappings. Also, we prove some common fixed point results for expansive mappings by using the notion of weak compatibility in Gp-metric space. Our results generalize some comparable results in metric spaces and partial metric spaces to Gp-metric spaces. Moreover, some examples are introduced in order to support our new results.

scholarly journals Relation Theoretic Common Fixed Point Results for Generalized Weak Nonlinear Contractions with an Application

Axioms ◽  
2019 ◽  
Vol 8 (2) ◽  
pp. 49 ◽  
Author(s):  
Atiya Perveen ◽  
Idrees A. Khan ◽  
Mohammad Imdad
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Binary Relation ◽  
Metric Spaces ◽  
Partial Metric ◽  
System Of Integral Equations ◽  
Partial Metric Spaces ◽  
Nonlinear Contractions

In this paper, by introducing the concept of generalized Ćirić-type weak ( ϕ g , R ) -contraction, we prove some common fixed point results in partial metric spaces endowed with binary relation R . We also deduce some useful consequences showing the usability of our results. Finally, we present an application to establish the solution of a system of integral equations.

Metric-like space and Suzuki type common fixed point results with (W.C.C) condition

2018 ◽  
Vol 13 (03) ◽  
pp. 2050066
Author(s):  
Anju Panwar ◽  
Anita
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Hausdorff Metric ◽  
Partial Metric ◽  
Common Solution ◽  
Partial Metric Spaces ◽  
Hybrid Pair ◽  
Common Fixed Point Theorems

The (W.C.C) condition was developed by K.P.R. Rao et al. in 2013 which established common fixed point results in partial metric spaces. By using Hausdorff metric-like space, we obtain Suzuki type common fixed point theorems for hybrid pair of maps in metric-like spaces. We observe different conditions about maps to obtain a fixed point. In addition, as consequence of our main result, we study the existence of a common solution for a class of functional equations originating in dynamic programming.

scholarly journals Some new common fixed point results through generalized altering distances on partial metric spaces

2012 ◽  
Vol 2012 (1) ◽  
pp. 120 ◽  
Author(s):  
Abd Ahmad ◽  
Zaid Fadail ◽  
Hemant Nashine ◽  
Zoran Kadelburg ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces

scholarly journals Some Common Fixed Point Theorems in Ordered Partial Metric Spaces via F-Generalized Contractive Type Mappings

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 193
Author(s):  
Pooja Dhawan ◽  
Jatinderdeep Kaur
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Contractive Type ◽  
Set Valued Mappings ◽  
Common Fixed Point Theorems

In the present work, the concept of F-generalized contractive type mappings by using C-class functions is introduced, and some common fixed point results for weakly isotone increasing set-valued mappings in the setting of ordered partial metric spaces are studied. These results improve and generalize various results existing in the literature. The effectiveness of the obtained results is verified with the help of some comparative examples.

scholarly journals Unique Common Fixed Point Theorems for Pairs of Hybrid Maps under a New Condition in Partial Metric Spaces

2014 ◽  
Vol 47 (3) ◽  
Author(s):  
K. P. R. Rao ◽  
K. R. K. Rao
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Hausdorff Metric ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Partial Hausdorff Metric ◽  
Common Fixed Point Theorems ◽  
Unique Common Fixed Point

AbstractIn this paper, we introduce a new condition namely, ‘condition (W.C.C)’ and obtain two unique common fixed point theorems for pairs of hybrid mappings on a partial Hausdorff metric space without using any continuity and commutativity of the mappings.

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