Erratum to "Fixed point theorems using reciprocal continuity in 2 non Archimedean Menger PM-spaces" by S. R. Kumar, Loganathan and M. Peer Mohamed, Int. J. Contemp. Math. Sciences, 7(20) (2012), 975-985

2013 ◽  
Vol 8 ◽  
pp. 199-200 ◽  
Author(s):  
S. Manro
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Reciprocal Continuity

scholarly journals Weakly compatible maps in fuzzy metric spaces

1970 ◽  
Vol 7 (1) ◽  
pp. 28-37
Author(s):  
M Rangamma ◽  
G Mallikarjun Reddy ◽  
P Srikanth Rao
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Weakly Compatible ◽  
Commuting Maps ◽  
Reciprocal Continuity

In this paper, we prove common fixed point theorems for six self maps by using weakly compatibility, without appeal to continuity in fuzzy metric space. Our results extend, generalized several fixed point theorems on metric and fuzzy metric spaces.   Mathematics subject classification: 47H10, 54H25. Keywords : Compatible maps, R-weakly commuting maps, Reciprocal continuity, weakly compatible. DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5419 KUSET 2011; 7(1): 28-37

Weak reciprocal continuity and fixed point theorems

2011 ◽  
Vol 57 (1) ◽  
pp. 181-190 ◽  
Author(s):  
R. P. Pant ◽  
R. K. Bisht ◽  
D. Arora
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Reciprocal Continuity

Common fixed point theorems of weak reciprocal continuity

2013 ◽  
Vol 7 ◽  
pp. 2255-2268
Author(s):  
Saurabh Manro ◽  
S. S. Bhatia ◽  
Sanjay Kumar ◽  
Shin Min Kang
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Reciprocal Continuity ◽  
Common Fixed Point Theorems

scholarly journals Semicompatibility and Fixed Point Theorems for Reciprocally Continuous Maps in a Fuzzy Metric Space

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
V. H. Badshah ◽  
Varsha Joshi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Fuzzy Metric Space ◽  
Implicit Relation ◽  
Fuzzy Metric ◽  
Continuous Maps ◽  
Reciprocal Continuity ◽  
Common Fixed Point Theorem

The aim of this paper is to prove a common fixed point theorem for six mappings on fuzzy metric space using notion of semicompatibility and reciprocal continuity of maps satisfying an implicit relation. We proposed to reanalysis the theorems of Imdad et al. (2002), Popa (2001), Popa (2002) and Singh and Jain (2005).

scholarly journals Some fixed point theorems in fuzzy metric space

2008 ◽  
Vol 39 (4) ◽  
pp. 309-316 ◽  
Author(s):  
Urmila Mishra ◽  
Abhay Sharad Ranadive ◽  
Dhananjay Gopal
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Reciprocal Continuity ◽  
Common Fixed Point Theorems

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.

scholarly journals Common Fixed Points of Generalized Meir-Keeler Type Condition and Nonexpansive Mappings

2012 ◽  
Vol 2012 ◽  
pp. 1-12
Author(s):  
R. K. Bisht
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Nonexpansive Mappings ◽  
Common Fixed Points ◽  
Type Condition ◽  
Banach Contraction ◽  
Proper Generalization ◽  
Reciprocal Continuity ◽  
Common Fixed Point Theorems

The aim of the present paper is to obtain common fixed point theorems by employing the recently introduced notion of weak reciprocal continuity. The new notion is a proper generalization of reciprocal continuity and is applicable to compatible mappings as well as noncompatible mappings. We demonstrate that weak reciprocal continuity ensures the existence of common fixed points under contractive conditions, which otherwise do not ensure the existence of fixed points. Our results generalize and extend Banach contraction principle and Meir-Keeler-type fixed point theorem.

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