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Agarwal, Ravi P.
- Fixed Point Theory for Cyclic Weak Kannan Type Mappings
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Authors
Affiliations
1 Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363 - 8202, US
2 Department of Mathematics, King Abdulaziz University, Sciences Faculty for Girls, P.O. Box 4087, Jeddah 21491, SA
3 School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, IE
4 Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21859, SA
1 Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363 - 8202, US
2 Department of Mathematics, King Abdulaziz University, Sciences Faculty for Girls, P.O. Box 4087, Jeddah 21491, SA
3 School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, IE
4 Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21859, SA
Source
The Journal of the Indian Mathematical Society, Vol 82, No 1-2 (2015), Pagination: 11-21Abstract
In this paper, we present fixed point theory for weakly Kannan mappings that satisfy cyclical conditions on complete metric spaces.Keywords
Fixed Point, Cyclic Map, Kannan Map, Weakly Kannan Map, Metric Space.
- Oscillation Criteria for nth Order Nonlinear Dynamic Equations on Time-Scales
Abstract Views :151 |
PDF Views:2
Authors
Affiliations
1 Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, EG
2 Department of Mathematics, Universidade dos Acore, R. Mae de Deus, 9500-321 Ponta Delgada, PT
3 Department of Mathematics, Texas A&M University - Kingsville, TX 78363-8202, US
1 Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, EG
2 Department of Mathematics, Universidade dos Acore, R. Mae de Deus, 9500-321 Ponta Delgada, PT
3 Department of Mathematics, Texas A&M University - Kingsville, TX 78363-8202, US
Source
The Journal of the Indian Mathematical Society, Vol 80, No 1-2 (2013), Pagination: 79-85Abstract
Some new criteria for the oscillation of nth order nonlinear dynamic equation xΔn(t) + q (t) xλ(σ(t)) = o are established.Keywords
Oscillation, Nonoscillation, Dynamic Equations, Higher Order.- A Note on Arc Lengths
Abstract Views :303 |
PDF Views:1
Authors
Affiliations
1 Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363-8202, US
2 Department of Applied Mathematics, National Chung-Hsing University, Taichung, 402, TW
3 Department of Mathematics, Central University, Chung-Li, 320, TW
1 Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363-8202, US
2 Department of Applied Mathematics, National Chung-Hsing University, Taichung, 402, TW
3 Department of Mathematics, Central University, Chung-Li, 320, TW
Source
The Journal of the Indian Mathematical Society, Vol 83, No 1-2 (2016), Pagination: 1-11Abstract
The purpose of this paper is to give an analytic proof of an integral inequality due to Ozeki and Aoyaki. A simple application to the arc length of the parametric equation of a plane curve is also given.Keywords
Banach Space, Strictly Convex, Uniformly Convex, Arc Length, Bounded Variation, Rectifiable, Homeomorphism, Convex, Concave.References
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- S. Saks, Theory of the integral, Second revised edition. English translation by L. C. Young, Dover Publications, Inc., New York 1964.
- A. E. Taylor and D. C. Lay, Introduction to Functional Analysis, New York: Wiley 2nd Ed. 1980
- R. V'yborn'y, Kurzweil's Integral and Arc-length, Australian Math. Soc., Gazette, 8(1981), 19–22.
- Oscillation Criteria via Inequalities for Second Order Dynamic Inclusions
Abstract Views :178 |
PDF Views:0
Authors
Affiliations
1 Department of Engg. Mathematics, Cairo University, Orman, Giza 12221, EG
2 Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran, SA
3 Department of Maths., National University of Ireland, Galway, IE
1 Department of Engg. Mathematics, Cairo University, Orman, Giza 12221, EG
2 Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran, SA
3 Department of Maths., National University of Ireland, Galway, IE