scholarly journals COMMON FIXED POINT THEOREMS FOR CONTRACTION MAPPINGS USING WEAK RECIPROCAL CONTINUITY

Author(s):  
S. Manro ◽  
S. Kumar ◽  
S.S. Bhatia ◽  
S.M. Kang
2012 ◽  
Vol 43 (2) ◽  
pp. 187-202
Author(s):  
Sumit Chandok

Some common fixed point theorems for \'{C}iri\'{c} type contraction mappings have been obtained in convex metric spaces. As applications, invariant approximation results for these type of mappings are obtained. The proved results generalize, unify and extend some of the results of the literature.


2013 ◽  
Vol 7 ◽  
pp. 2255-2268
Author(s):  
Saurabh Manro ◽  
S. S. Bhatia ◽  
Sanjay Kumar ◽  
Shin Min Kang

Author(s):  
Yusuf Ibrahim

This paper introduces a new version of multivalued generalized F-Suzuki-Contraction mapping and then establish some new common fixed point theorems for these new multivalued generalized F-Suzuki-Contraction Mappings incomplete strong b-Metric Spaces.


2008 ◽  
Vol 39 (4) ◽  
pp. 309-316 ◽  
Author(s):  
Urmila Mishra ◽  
Abhay Sharad Ranadive ◽  
Dhananjay Gopal

In this paper we prove common fixed point theorems in fuzzy metric spaces employing the notion of reciprocal continuity. Moreover we have to show that in the context of reciprocal continuity the notion of compatibility and semi-compatibility of maps becomes equivalent. Our result improves recent results of Singh & Jain [13] in the sense that all maps involved in the theorems are discontinuous even at common fixed point.


2016 ◽  
Vol 8 (2) ◽  
pp. 251-262
Author(s):  
E. Yolacan ◽  
H. Kiziltunc ◽  
M. Kir

Some new coupled coincidence and coupled common fixed point theorems for $\varphi$-$\psi$-contraction mappings are established. We have also an application to some integral system to support the results.


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