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Papers by Mithilesh Pandey

Research paper thumbnail of Some Fixed Point Theorems for Generalized Contraction Involving Rational Expressions in Complex Valued b-Metric Spaces

Asian Journal of Mathematics and Applications, Apr 18, 2019

The purpose of this paper is to prove the existence and uniqueness of a common fixed point for a ... more The purpose of this paper is to prove the existence and uniqueness of a common fixed point for a pair of mappings satisfying generalized contraction under rational expressions having point-dependent control functions as coefficients in complex valued b-metric spaces. Our results generalize and extend the results of Azam et al., Dass et al., Dubey et al., Mukheimer, Nashine et al., Rao et al. and Sitthikul et al.

Research paper thumbnail of Some Fixed Point Theorems in C-complete Complex Valued Metric Spaces

Communications in Mathematics and Applications, Dec 25, 2018

Research paper thumbnail of Non-linear parametric resonance driven oscillations of dumbell satellite in elliptical orbit under the combined effects of magnetic field of the earth and oblateness of the earth

International journal of advanced astronomy, Jan 2, 2015

Parametric resonance driven oscillations of a dumbbell satellite in elliptical orbit in central g... more Parametric resonance driven oscillations of a dumbbell satellite in elliptical orbit in central gravitational field of force under the combined effects of perturbing forces Earth Magnetic field and Oblateness of the Earth has been studied. The system comprises of two satellite connected by a light, flexible and inextensible cable, moves like a dumbbell satellite in elliptical orbit, in central gravitational field of force. The gravitational field of the Earth is the main force governing the motion and magnetic field of the Earth and Oblateness of the Earth are considered to be perturbing forces, disturbing in nature. Non-linear oscillations of dumbbell satellite about the equilibrium position in the neighborhood of parametric resonance 1 2   , under the influence of perturbing forces, which is suitable for exploiting the asymptotic methods of Bogoliubov, Krilov and Metropoloskey has been studied, considering 'e' to be a small parameter. The Hamiltonian has been constructed for the problem and phase analysis has been applied to investigate the stability of the system.

Research paper thumbnail of Condition of Non-Linear Stability of Dumbell Satellite in Elliptical Orbit

International journal of pure and applied mathematics, 2011

Research paper thumbnail of Fixed Points for \(\alpha,\beta\)-Admissible Mappings via Simulation Functions

Communications in Mathematics and Applications, 2021

In this paper, by using the concept of (α, β)-admissible mappings with respect to Z-contraction, ... more In this paper, by using the concept of (α, β)-admissible mappings with respect to Z-contraction, we prove some fixed point results in complete metric-like spaces. Our results generalize and extend several well-known results on literature. An example is given to support the obtained results.

Research paper thumbnail of NEW FIXED POINT RESULTS FOR T-CONTRACTIVE MAPPING WITH c-DISTANCE IN CONE METRIC SPACES

Facta Universitatis, Series: Mathematics and Informatics, 2020

In this article, we generalize and improve the results of Fadail et al.[Z. M. Fadail and S. M. Ab... more In this article, we generalize and improve the results of Fadail et al.[Z. M. Fadail and S. M. Abusalim, Int. Jour. of Math. Anal., Vol. 11, No. 8(2017), pp. 397-405.] and Dubey et al.[AnilKumar Dubey and Urmila Mishra, Non. Func. Anal. Appl., Vol. 22, No. 2(2017), pp 275-286.] under the concept of a c-distance in cone metric spaces. We prove the existence and uniqueness of the fixed point for T -contractive type mapping under the concept of c-distance in cone metric spaces.

Research paper thumbnail of Common Fixed Point Results in \(C\)-Complete Complex Valued Metric Spaces

Communications in Mathematics and Applications, 2020

In this paper, we establish some common fixed point theorems involving two pairs of weakly compat... more In this paper, we establish some common fixed point theorems involving two pairs of weakly compatible mappings satisfying rational inequality in the setting of \(C\)-complex valued metric space. The presented theorems generalize, extend and improve the known results in the literature.

Research paper thumbnail of Fixed Point Theorems for T-Contractions with c-Distance on Cone Metric Spaces

Journal of Informatics and Mathematical Sciences, 2019

In this paper, we prove the existence and uniqueness of the fixed point for T-contraction mapping... more In this paper, we prove the existence and uniqueness of the fixed point for T-contraction mapping under the concept of c-Distance in cone metric spaces with solid cone. The obtained results extend and generalize well known comparable results in the literature.

Research paper thumbnail of Some Non-linear Parametric Resonance Oscillations Of Dumbell Satellite In Elliptical Orbit

International Journal of Applied Mathematical Research, 2013

Some non-linear oscillations of Dumbell satellite in elliptical orbit in the central gravitationa... more Some non-linear oscillations of Dumbell satellite in elliptical orbit in the central gravitational field of force under the combined influence of Earth magnetic field, oblateness of the Earth and some external periodic forces of general in nature has been studied. The system comprises of two charged material particles connected by a light flexible and inextensible cable, moves with taut cable like a dumbbell satellite, in elliptical orbit around the Earth. The central gravitational field of force is the main force governing the motion and various perturbing forces influencing the system are disturbing in nature. Non-linear oscillations of dumbbell satellite about the equilibrium position in the neighbourhood of the main resonance ω=1, has been studied, exploiting the asymptotic method due to Bogoliubov, Krilov and Metropolosky, considering 'e'to be a small parameter. The analysis of stability of the system has been discussed due to Poincare method.

Research paper thumbnail of Some Fixed Point Theorems for \((\alpha,\beta,z)\)-Contraction Mapping under Simulation Functions in Banach Space

Communications in Mathematics and Applications

Research paper thumbnail of NEW FIXED POINT RESULTS FOR T-CONTRACTIVE MAPPING WITH c-DISTANCE IN CONE METRIC SPACES

Facta Universitatis, Series: Mathematics and Informatics, 2020

In this article, we generalize and improve the results of Fadail et al.[Z. M. Fadail and S. M. Ab... more In this article, we generalize and improve the results of Fadail et al.[Z. M. Fadail and S. M. Abusalim, Int. Jour. of Math. Anal., Vol. 11, No. 8(2017), pp. 397-405.] and Dubey et al.[AnilKumar Dubey and Urmila Mishra, Non. Func. Anal. Appl., Vol. 22, No. 2(2017), pp 275-286.] under the concept of a c-distance in cone metric spaces. We prove the existence and uniqueness of the fixed point for T -contractive type mapping under the concept of c-distance in cone metric spaces.

Research paper thumbnail of Some Fixed Point Theorems for Generalized Contraction Involving Rational Expressions in Complex Valued b-Metric Spaces

Asian Journal of Mathematics and Applications, Apr 18, 2019

The purpose of this paper is to prove the existence and uniqueness of a common fixed point for a ... more The purpose of this paper is to prove the existence and uniqueness of a common fixed point for a pair of mappings satisfying generalized contraction under rational expressions having point-dependent control functions as coefficients in complex valued b-metric spaces. Our results generalize and extend the results of Azam et al., Dass et al., Dubey et al., Mukheimer, Nashine et al., Rao et al. and Sitthikul et al.

Research paper thumbnail of Some Fixed Point Theorems in C-complete Complex Valued Metric Spaces

Communications in Mathematics and Applications, Dec 25, 2018

Research paper thumbnail of Non-linear parametric resonance driven oscillations of dumbell satellite in elliptical orbit under the combined effects of magnetic field of the earth and oblateness of the earth

International journal of advanced astronomy, Jan 2, 2015

Parametric resonance driven oscillations of a dumbbell satellite in elliptical orbit in central g... more Parametric resonance driven oscillations of a dumbbell satellite in elliptical orbit in central gravitational field of force under the combined effects of perturbing forces Earth Magnetic field and Oblateness of the Earth has been studied. The system comprises of two satellite connected by a light, flexible and inextensible cable, moves like a dumbbell satellite in elliptical orbit, in central gravitational field of force. The gravitational field of the Earth is the main force governing the motion and magnetic field of the Earth and Oblateness of the Earth are considered to be perturbing forces, disturbing in nature. Non-linear oscillations of dumbbell satellite about the equilibrium position in the neighborhood of parametric resonance 1 2   , under the influence of perturbing forces, which is suitable for exploiting the asymptotic methods of Bogoliubov, Krilov and Metropoloskey has been studied, considering 'e' to be a small parameter. The Hamiltonian has been constructed for the problem and phase analysis has been applied to investigate the stability of the system.

Research paper thumbnail of Condition of Non-Linear Stability of Dumbell Satellite in Elliptical Orbit

International journal of pure and applied mathematics, 2011

Research paper thumbnail of Fixed Points for \(\alpha,\beta\)-Admissible Mappings via Simulation Functions

Communications in Mathematics and Applications, 2021

In this paper, by using the concept of (α, β)-admissible mappings with respect to Z-contraction, ... more In this paper, by using the concept of (α, β)-admissible mappings with respect to Z-contraction, we prove some fixed point results in complete metric-like spaces. Our results generalize and extend several well-known results on literature. An example is given to support the obtained results.

Research paper thumbnail of NEW FIXED POINT RESULTS FOR T-CONTRACTIVE MAPPING WITH c-DISTANCE IN CONE METRIC SPACES

Facta Universitatis, Series: Mathematics and Informatics, 2020

In this article, we generalize and improve the results of Fadail et al.[Z. M. Fadail and S. M. Ab... more In this article, we generalize and improve the results of Fadail et al.[Z. M. Fadail and S. M. Abusalim, Int. Jour. of Math. Anal., Vol. 11, No. 8(2017), pp. 397-405.] and Dubey et al.[AnilKumar Dubey and Urmila Mishra, Non. Func. Anal. Appl., Vol. 22, No. 2(2017), pp 275-286.] under the concept of a c-distance in cone metric spaces. We prove the existence and uniqueness of the fixed point for T -contractive type mapping under the concept of c-distance in cone metric spaces.

Research paper thumbnail of Common Fixed Point Results in \(C\)-Complete Complex Valued Metric Spaces

Communications in Mathematics and Applications, 2020

In this paper, we establish some common fixed point theorems involving two pairs of weakly compat... more In this paper, we establish some common fixed point theorems involving two pairs of weakly compatible mappings satisfying rational inequality in the setting of \(C\)-complex valued metric space. The presented theorems generalize, extend and improve the known results in the literature.

Research paper thumbnail of Fixed Point Theorems for T-Contractions with c-Distance on Cone Metric Spaces

Journal of Informatics and Mathematical Sciences, 2019

In this paper, we prove the existence and uniqueness of the fixed point for T-contraction mapping... more In this paper, we prove the existence and uniqueness of the fixed point for T-contraction mapping under the concept of c-Distance in cone metric spaces with solid cone. The obtained results extend and generalize well known comparable results in the literature.

Research paper thumbnail of Some Non-linear Parametric Resonance Oscillations Of Dumbell Satellite In Elliptical Orbit

International Journal of Applied Mathematical Research, 2013

Some non-linear oscillations of Dumbell satellite in elliptical orbit in the central gravitationa... more Some non-linear oscillations of Dumbell satellite in elliptical orbit in the central gravitational field of force under the combined influence of Earth magnetic field, oblateness of the Earth and some external periodic forces of general in nature has been studied. The system comprises of two charged material particles connected by a light flexible and inextensible cable, moves with taut cable like a dumbbell satellite, in elliptical orbit around the Earth. The central gravitational field of force is the main force governing the motion and various perturbing forces influencing the system are disturbing in nature. Non-linear oscillations of dumbbell satellite about the equilibrium position in the neighbourhood of the main resonance ω=1, has been studied, exploiting the asymptotic method due to Bogoliubov, Krilov and Metropolosky, considering 'e'to be a small parameter. The analysis of stability of the system has been discussed due to Poincare method.

Research paper thumbnail of Some Fixed Point Theorems for \((\alpha,\beta,z)\)-Contraction Mapping under Simulation Functions in Banach Space

Communications in Mathematics and Applications

Research paper thumbnail of NEW FIXED POINT RESULTS FOR T-CONTRACTIVE MAPPING WITH c-DISTANCE IN CONE METRIC SPACES

Facta Universitatis, Series: Mathematics and Informatics, 2020

In this article, we generalize and improve the results of Fadail et al.[Z. M. Fadail and S. M. Ab... more In this article, we generalize and improve the results of Fadail et al.[Z. M. Fadail and S. M. Abusalim, Int. Jour. of Math. Anal., Vol. 11, No. 8(2017), pp. 397-405.] and Dubey et al.[AnilKumar Dubey and Urmila Mishra, Non. Func. Anal. Appl., Vol. 22, No. 2(2017), pp 275-286.] under the concept of a c-distance in cone metric spaces. We prove the existence and uniqueness of the fixed point for T -contractive type mapping under the concept of c-distance in cone metric spaces.