Welcome to Turkish Journal of Analysis and Number Theory

Turkish Journal of Analysis and Number Theory is a peer reviewed, open access journal that devotes exclusively to the publication of high quality research and review papers in the fields of number theory and analysis. An importance is placed on a vital and important developments in number theory, analytic number theory, p-adic analysis, q-analysis with its applications, fractional calculus, functional analysis, asymptotic analysis, differential geometry, theory of mathematical inequalities, topology, geometric analysis, numerical verification method, mathematical physics, semigroup theory, relativistic quantum mechanics, summability theory, sequences and series in functional analysis, line theory, general algebra, applied mathematics, complex analysis, stochastic control and stochastic stability, matrix transformations, normed structures, fuzzy set theory, enumerative and analytic combinatorics. Turkish Journal of Analysis and Number Theory is published in partnership with Hasan Kalyoncu University.

ISSN (Print): 2333-1100

ISSN (Online): 2333-1232

Editor-in-Chief: Mehmet Acikgoz, Feng Qi, Cenap Özel

Website: http://www.sciepub.com/journal/TJANT

   

Article

On the Variations of Some Well Known Fixed Point Theorem in Metric Spaces

1Department of Mathematics, Sardar Patel University, Anand, Gujarat, India


Turkish Journal of Analysis and Number Theory. 2015, 3(2), 70-74
doi: 10.12691/tjant-3-2-7
Copyright © 2015 Science and Education Publishing

Cite this paper:
Krishna Patel, G M Deheri. On the Variations of Some Well Known Fixed Point Theorem in Metric Spaces. Turkish Journal of Analysis and Number Theory. 2015; 3(2):70-74. doi: 10.12691/tjant-3-2-7.

Correspondence to: Krishna  Patel, Department of Mathematics, Sardar Patel University, Anand, Gujarat, India. Email: krishnappatel10@gmail.com

Abstract

Results dealing with a Fixed Point for a map need not be continuous on a metric space, which improves a famous classical result, has been presented here, wherein the convergence aspect is duly addressed. This paper aims to present some fixed point theorems on metric spaces. It can be easily observed that these are significant improvement of some of the well-known classical result dealing with the generalization of Banach fixed point theorem. Further, here the rate of convergence aspects is duly taken care of.

Keywords

References

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Article

Backward Orbit Conjecture for Lattès Maps

1Department of Mathematics, The Catholic University of America, Washington, DC


Turkish Journal of Analysis and Number Theory. 2015, 3(3), 75-77
doi: 10.12691/tjant-3-3-1
Copyright © 2015 Science and Education Publishing

Cite this paper:
Vijay Sookdeo. Backward Orbit Conjecture for Lattès Maps. Turkish Journal of Analysis and Number Theory. 2015; 3(3):75-77. doi: 10.12691/tjant-3-3-1.

Correspondence to: Vijay  Sookdeo, Department of Mathematics, The Catholic University of America, Washington, DC. Email: sookdeo@cua.edu

Abstract

For a Lattès map defined over a number field K, we prove a conjecture on the integrality of points in the backward orbit of under

Keywords

References

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Article

Occasionally Weakly Compatible Mappings

1School of Studies in Mathematics, Vikram University, Ujjain - 456010 (M.P.), India

2Department of Mathematical Science and Computer Application, Bundelkhand University, Jhansi (U.P.), India


Turkish Journal of Analysis and Number Theory. 2015, 3(3), 78-82
doi: 10.12691/tjant-3-3-2
Copyright © 2015 Science and Education Publishing

Cite this paper:
Amit Kumar Govery, Mamta Singh. Occasionally Weakly Compatible Mappings. Turkish Journal of Analysis and Number Theory. 2015; 3(3):78-82. doi: 10.12691/tjant-3-3-2.

Correspondence to: Amit  Kumar Govery, School of Studies in Mathematics, Vikram University, Ujjain - 456010 (M.P.), India. Email: amitgovery@gmail.com

Abstract

In this paper, the concept of compatible maps of type (A) and occasionally weakly compatible maps in fuzzy metric space have been applied to prove common fixed point theorem. A fixed point theorem for six self maps has been established using the concept of compatible maps of type (A) and occasionally weakly compatible maps, which generalizes the result of Cho .

Keywords

References

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[7]  Singh, A. Jain, A.K. Govery, Compatibility of type (β) and fixed point theorem in Fuzzy metric space, Appl. Math. Sci. 5 (2011), 517-528.
 
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[14]  M.A. Al-Thagafi, N.A. Shahzad, A note on occasionally weakly compatible maps, Int. J. Math. anal. 3(2009), 55-58.
 
[15]  M.A. Khan, Sumitra, Common fixed point theorems for occasionally weakly compatible maps in fuzzy metric spaces, Far East J. Math. Sci., 9 (2008), 285-293.
 
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[17]  S.N. Mishra, N. Mishra and S.L. Singh, Common fixed point of maps in fuzzy metric space, Int. J. Math. Math. Sci. 17(1994), 253-258.
 
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[19]  Y.J. Cho, Fixed point in Fuzzy metric space, J. Fuzzy Math. 5(1997), 949-962.
 
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