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Your search keyword '"CHANDOK, S."' showing total 17 results
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17 results on '"CHANDOK, S."'

5. Existence of fixed points for pairs of mappings and application to Urysohn integral equations

Author

Dr. Deepak Kumar and Chandok, S.

Subjects
Mathematics - Functional Analysis, FOS: Mathematics, 47H10, 54H25, Functional Analysis (math.FA)
Abstract

In this paper, we establish some common fixed point results for two pairs of weakly compatible mappings in the setting of $C$-complex valued metric space. Also, as application of the proved result, we obtain the existence and uniqueness of a common solution of the system of the Urysohn integral equations: \begin{eqnarray*} x(t)=\psi_i(t)+\int_{a}^{b}K_i(t,s,x(s))ds \end{eqnarray*} where $i=1, 2, 3, 4, a,b\in \mathbb{R}$ with $a\leq b, t\in [a,b], x, \psi_i\in C([a,b],\mathbb{R}^n)$ and $K_i:[a,b]\times [a,b]\times \mathbb{R}^n\rightarrow \mathbb{R}^n$ is a mapping for each $i=1, 2, 3, 4$.

Published
2017
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8. On Continuity of the best Approximation Map and Fixed Point Theorems

Author

Narang, T. D.; Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, Chandok, S.; Department of Mathematics, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar-144011, Narang, T. D.; Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, and Chandok, S.; Department of Mathematics, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar-144011

Abstract

The paper contains some results on the continuity of the best approximation map in normed linear spaces, on fixed point of a continuous nowhere normal outward map in metric linear spaces, and on fixed point of a nonexpansive map in the case of metric spaces. The proved results generalize and extend the earlier known results on the subject.

Published
2016

9. On Continuity of the best Approximation Map and Fixed Point Theorems

Author

Narang, T. D., Chandok, S., Narang, T. D., and Chandok, S.

Abstract

The paper contains some results on the continuity of the best approximation map in normed linear spaces, on fixed point of a continuous nowhere normal outward map in metric linear spaces, and on fixed point of a nonexpansive map in the case of metric spaces. The proved results generalize and extend the earlier known results on the subject.

Published
2016

12. ON αβ-CONTRACTIVE AND ADMISSIBLE MAPPINGS.

Author

CHANDOK, S., ANSARI, A. H., DOŠENOVIĆ, T., and RADENOVIĆ, S.

Subjects
*POINT mappings (Mathematics), *FIXED point theory, *BANACH algebras, *TOPOLOGICAL algebras, *MATHEMATICS
Abstract

In this paper, we introduce the concept of a pair (f, h) called upper class of type II and αβ-contractive mappings. We obtain that all the corresponding established results of Hussain et al. [7] are immediately consequences of our main result. Our main result generalizes and modifies several existing results in literature. Also, an example is given to support the main result. [ABSTRACT FROM AUTHOR]

Published
2018
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14. Fixed Point Theorem in Partially Ordered Metric Spaces for Generalized Contraction Mappings.

Author

Chandok, S., Khan, M. S., and Narang, T. D.

Subjects
*FIXED point theory, *NONLINEAR operators, *COINCIDENCE theory, *DIFFERENTIAL equations, *METRIC spaces
Abstract

In this paper, we prove some fixed point results in the setting of two metric spaces endowed with a partial order satisfying a generalized contractive condition. The proved results generalize and extend some known results in the literature. As application, we establish an existence result for a nonlinear first order differential equation. [ABSTRACT FROM AUTHOR]

Published
2015

16. EXISTENCE AND UNIQUENESS OF COMMON COUPLED FIXED POINT RESULTS VIA AUXILIARY FUNCTIONS.

Author

CHANDOK, S., KARAPINAR, E., and KHAN, M. SAEED

Subjects
*PARTIALLY ordered spaces, *METRIC spaces, *GENERALIZED spaces, *MONOTONE operators, *FIXED point theory, *MATHEMATICAL mappings
Abstract

The purpose of this paper is to establish some coupled coincidence point theorems for mappings having a mixed g- monotone property in partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature. [ABSTRACT FROM AUTHOR]

Published
2014

17. FIXED POINT THEOREMS IN BIMETRIC SPACE ENDOWED WITH BINARY RELATION AND APPLICATIONS.

Author

KHAN, M. S., BERZIG, M., and CHANDOK, S.

Subjects
*FIXED point theory, *METRIC spaces, *BINARY sequences, *MATHEMATICAL mappings, *DIFFERENTIAL equations
Abstract

In this paper, we obtained some fixed point results for continuous mappings satisfying a generalized contractive condition in the setting of two metrics space endowed with a binary relation. Our theorems generalize and extend several known results in the literature. As application, we establish an existence theorem for the solution of a nonlinear first order differential equation. [ABSTRACT FROM AUTHOR]

Published
2015
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