scholarly journals On (ψ,ϕ)-weakly contractive condition in partially ordered metric spaces

2011 ◽  
Vol 62 (8) ◽  
pp. 3204-3214 ◽  
Author(s):  
Wasfi Shatanawi ◽  
Bessem Samet
Keyword(s):  
Metric Spaces ◽  
Contractive Condition ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Weakly Contractive Condition ◽  
Weakly Contractive

scholarly journals Coincidence and fixed point results under generalized weakly contractive condition in partially ordered G-metric spaces

Filomat ◽  
2013 ◽  
Vol 27 (7) ◽  
pp. 1333-1343 ◽  
Author(s):  
Kumar Nashine ◽  
Zoran Kadelburg ◽  
Stojan Radenovic
Keyword(s):  
Fixed Point ◽  
Partial Order ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Partially Ordered ◽  
Weakly Contractive Condition ◽  
Weakly Contractive

We deduce coincidence and fixed point theorems under generalized weakly contractive conditions in G-metric spaces equipped with partial order. We furnish examples to demonstrate the usage of the results and to distinguish them from the known ones.

scholarly journals Common Fixed Point of (ψ, β)-Generalized Contractive Mappings in Partially Ordered Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
M. Abbas ◽  
I. Zulfaqar ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Necessary Conditions ◽  
Contractive Condition ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Contractive Mappings

Gordji et al. (2012) gave a generalization of Geraghty’s theorem. The aim of this paper is to study the necessary conditions for the existence of coincidence and common fixed point of four mappings satisfying (ψ, β)-generalized contractive condition in the setup of partial ordered metric spaces. Some examples are given to validate the definitions and results presented herein.

scholarly journals COMMON FIXED POINTS OF A PAIR OF SELFMAPS SATISFYING CERTAIN WEAKLY CONTRACTIVE INEQUALITY INVOLVING RATIONAL TYPE EXPRESSIONS VIA TWO AUXILIARY FUNCTIONS IN PARTIALLY ORDERED METRIC SPACES

2017 ◽  
pp. 329
Author(s):  
Gutti Venkata Ravindranadh Babu ◽  
Kandala Kanaka Mahalakshmi Sarma ◽  
Padala Hari Kirshna ◽  
Vallabhapurapu Asunee Kumari ◽  
Gedala Satyanarayana ◽  
...  
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Auxiliary Functions ◽  
Weakly Contractive ◽  
Rational Type

In this paper, we prove the existence of coincidence and common fixed points of a pair of selfmaps satisfying certain weakly contractive inequality with two auxiliary functions involving rational type expressions in partially ordered metric spaces. These results extend some of the known existing results in the literature from a single selfmap to a pair of selfmaps. Examples are provided in support of our results.

scholarly journals Coupled Fixed Point Theorems for (φ,ψ)-Contractive Mixed Monotone Mappings in Partially Ordered Metric Spaces and Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Manish Jain ◽  
Neetu Gupta ◽  
Sanjay Kumar
Keyword(s):  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Monotone Operators ◽  
Monotone Mappings ◽  
Contractive Condition ◽  
Nonlinear Integral Equations ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered

The object of this paper is to establish the existence and uniqueness of coupled fixed points under a (φ, ψ)-contractive condition for mixed monotone operators in the setup of partially ordered metric spaces. Presented work generalizes the recent results of Berinde (2011, 2012) and weakens the contractive conditions involved in the well-known results of Bhaskar and Lakshmikantham (2006), and Luong and Thuan (2011). The effectiveness of our work is validated with the help of a suitable example. As an application, we give a result of existence and uniqueness for the solutions of a class of nonlinear integral equations.

scholarly journals BEST PROXIMITY AND COUPLED BEST PROXIMITY POINTS OF ( psi-phi-theta )-ALMOST WEAKLY CONTRACTIVE MAPS IN PARTIALLY ORDERED METRIC SPACE

2017 ◽  
pp. 073
Author(s):  
Venkata Ravindranadh Gutti Babu ◽  
Bekere Kumssa Leta
Keyword(s):  
Metric Spaces ◽  
Best Proximity Point ◽  
Contractive Condition ◽  
Ordered Metric Space ◽  
Partially Ordered Metric Space ◽  
Ordered Metric Spaces ◽  
Partially Ordered ◽  
Control Functions ◽  
Contractive Maps ◽  
Weakly Contractive

In this paper we obtain some best proximity point results using almost contractive condition with three control functions (in which two of them need not be continuous) in partially ordered metric spaces. As an application, we prove coupled best proximity theorems. The results presented in this paper generalize the results of Choudhury, Metiya, Postolache and Konar [8]. We draw several corollaries and give illustrative examples to demonstrate the validity of our results.

Sign in / Sign up

Export Citation Format

Share Document