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18 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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10. 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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12. 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

14. 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

16. On fixed points in the context of b-metric spaces

Author

Chandok, S., vildan ozturk, Radenović, S., and Öztürk, Vildan

Subjects
b-metric space, C-class function, Dominating mappings, Fixed point
Abstract

In this paper, we obtain sufficient conditions for the existence of common fixed points in the framework of ordered b-metric spaces. Our results generalize some recent results in the literature. Also, to illustrate the usability of the results we give an adequate example in which b-metric is not continuous.

18. 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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