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A GENERALIZED COMMON FIXED POINT THEOREM FOR TWO FAMILIES OF SELF-MAPS
PHANEENDRA, T. Korean Mathematical Society 2015 대한수학회보 Vol.52 No.6
Brief developments in metrical fixed point theory are covered and a significant generalization of recent results obtained in [18], [27], [32] and [33] is established through an extension of the property (EA) to two sequences of self-maps using the notions of weak compatibility and implicit relation.
A GENERALIZED COMMON FIXED POINT THEOREM FOR TWO FAMILIES OF SELF-MAPS
T. Phaneendra 대한수학회 2015 대한수학회보 Vol.52 No.6
Brief developments in metrical fixed point theory are covered and a significant generalization of recent results obtained in [18], [27], [32] and [33] is established through an extension of the property (EA) to two sequences of self-maps using the notions of weak compatibility and implicit relation.
Fixed point of a 2-contraction through an alternative technique
K. K. Swamy,T. Phaneendra 장전수학회 2015 Proceedings of the Jangjeon mathematical society Vol.18 No.1
This paper aims at proving the Banach's contraction theorem in a 2-metric space by repeated use of the symmetry and the tetra- hedron inequality of the 2-metric, based on only an elementary greatest lower bound property instead of usual iteration proce- dure.
COMMON FIXED POINT FOR RECIPROCALLY CONTINUOUS AND WEAKLY COMPATIBLE MAPS IN A G-METRIC SPACE
P. Swapna,T. Phaneendra,M. N. Rajashekar 경남대학교 기초과학연구소 2022 Nonlinear Functional Analysis and Applications Vol.27 No.3
A brief comparative survey of some generalizations of a metric space with three dimensional metric structures and different forms of the triangle inequality is done along with their topological properties. Then a common fixed point is obtained for reciprocally continuous and compatible self-maps in a G-metric space. Further, a common fixed point theorem is proved for a pair of weakly compatible self-maps on a G-metric space with the common limit range property.
P. Pramod Chakravarthy,K. Phaneendra,Y.N. Reddy 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.1
In this paper, a fifth order numerical method is presented for solving singularly perturbed differential-difference equations with negative shift. In recent papers the term negative shift has been using for delay. Similar boundary value problems are associated with expected first exit time problem of the membrane, potential in models for neuron and in variational problems in control theory. In the numerical treatment for such type of boundary value problems, first we use Taylor approximation to tackle terms containing small shifts which converts it to a boundary value problem for singularly perturbed differential equation. The two point boundary value problem is transformed into general first order ordinary differential equation system. A discrete approximation of a fifth order compact difference scheme is presented for the first order system and is solved using the boundary conditions. Several numerical examples are solved and compared with exact solution. It is observed that present method approximates the exact solution very well. In this paper, a fifth order numerical method is presented for solving singularly perturbed differential-difference equations with negative shift. In recent papers the term negative shift has been using for delay. Similar boundary value problems are associated with expected first exit time problem of the membrane, potential in models for neuron and in variational problems in control theory. In the numerical treatment for such type of boundary value problems, first we use Taylor approximation to tackle terms containing small shifts which converts it to a boundary value problem for singularly perturbed differential equation. The two point boundary value problem is transformed into general first order ordinary differential equation system. A discrete approximation of a fifth order compact difference scheme is presented for the first order system and is solved using the boundary conditions. Several numerical examples are solved and compared with exact solution. It is observed that present method approximates the exact solution very well.
A fifth order numerical method for singularperturbation problems
P. Pramod Chakravarthy,K. Phaneendra,Y.N. Reddy 한국전산응용수학회 2008 Journal of applied mathematics & informatics Vol.26 No.3-4
In this paper, a fifth order numerical method is presented for solving singularly perturbed two point boundary value problems with a boundary layer at one end point. The two point boundary value problem is transformed into general first order ordinary differential equation system. A discrete approximation of a fifth order compact difference scheme is presented for the first order system. An asymptotically equivalent first order equation of the original singularly perturbed two point boundary value problem is obtained from the theory of singular perturbations. It is used in the fifth order compact difference scheme to get a two term recurrence relation and is solved. Several linear and non-linear singular perturbation problems have been solved and the numerical results are presented to support the theory. It is observed that the present method approximates the exact solution very well. In this paper, a fifth order numerical method is presented for solving singularly perturbed two point boundary value problems with a boundary layer at one end point. The two point boundary value problem is transformed into general first order ordinary differential equation system. A discrete approximation of a fifth order compact difference scheme is presented for the first order system. An asymptotically equivalent first order equation of the original singularly perturbed two point boundary value problem is obtained from the theory of singular perturbations. It is used in the fifth order compact difference scheme to get a two term recurrence relation and is solved. Several linear and non-linear singular perturbation problems have been solved and the numerical results are presented to support the theory. It is observed that the present method approximates the exact solution very well.
Chakravarthy, P. Pramod,Phaneendra, K.,Reddy, Y.N. The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.1
In this paper, a fifth order numerical method is presented for solving singularly perturbed differential-difference equations with negative shift. In recent papers the term negative shift has been using for delay. Similar boundary value problems are associated with expected first exit time problem of the membrane, potential in models for neuron and in variational problems in control theory. In the numerical treatment for such type of boundary value problems, first we use Taylor approximation to tackle terms containing small shifts which converts it to a boundary value problem for singularly perturbed differential equation. The two point boundary value problem is transformed into general first order ordinary differential equation system. A discrete approximation of a fifth order compact difference scheme is presented for the first order system and is solved using the boundary conditions. Several numerical examples are solved and compared with exact solution. It is observed that present method approximates the exact solution very well.
A FIFTH ORDER NUMERICAL METHOD FOR SINGULAR PERTURBATION PROBLEMS
Chakravarthy, P. Pramod,Phaneendra, K.,Reddy, Y.N. Korean Society of Computational and Applied Mathem 2008 Journal of applied mathematics & informatics Vol.26 No.3-4
In this paper, a fifth order numerical method is presented for solving singularly perturbed two point boundary value problems with a boundary layer at one end point. The two point boundary value problem is transformed into general first order ordinary differential equation system. A discrete approximation of a fifth order compact difference scheme is presented for the first order system. An asymptotically equivalent first order equation of the original singularly perturbed two point boundary value problem is obtained from the theory of singular perturbations. It is used in the fifth order compact difference scheme to get a two term recurrence relation and is solved. Several linear and non-linear singular perturbation problems have been solved and the numerical results are presented to support the theory. It is observed that the present method approximates the exact solution very well.
COMMON COUPLED FIXED POINT IN A PARTIALLY ORDERED b-METRIC SPACE
K. Kumara Swamy,T. Phaneendra 경남대학교 기초과학연구소 2020 Nonlinear Functional Analysis and Applications Vol.25 No.2
A common coupled fixed point theorem supported with an illustrative example,and a related problem of existence of solution of system of Fredhlom type integral equations,are presented for two mappings, which satisfy mixed weakly monotone property in a partiallyordered b-metric space.
Review on Cu2SnS3, Cu3SnS4, and Cu4SnS4 thin films and their photovoltaic performance
Vasudeva Reddy Minnam Reddy,Mohan Reddy Pallavolu,Phaneendra Reddy Guddeti,Sreedevi Gedi,Kishore Kumar Yarragudi Bathal Reddy,Babu Pejjai,김우경,Thulasi Ramakrishna Reddy Kotte,박진호 한국공업화학회 2019 Journal of Industrial and Engineering Chemistry Vol.76 No.-
The rapid progress on the Cu–Sn–S (Cu2SnS3, Cu3SnS4, and Cu4SnS4) solar cells has opened a new avenueto generate the electrical energy at ultra-low-cost. Therefore, the progress in the deposition of Cu2SnS3,Cu3SnS4, and Cu4SnS4 thinfilms by various chemical and physical methods is reviewed comprehensively. This article briefly describes (i) the phase diagrams of Cu–Sn–S, (ii) the bulk properties of Cu2SnS3,Cu3SnS4, and Cu4SnS4, (iii) the effect of deposition conditions on the phase formation, (iv) the physicalproperties of Cu2SnS3, Cu3SnS4, and Cu4SnS4 thinfilms, and (v) the photovoltaic performance of Cu2SnS3,Cu3SnS4, and Cu4SnS4 solar cells.