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Start Over Author "Idrees A. Khan" Journal fixed point theory and applications
2 results on '"Idrees A. Khan"'

1. Relation-theoretic coincidence and common fixed point results under (F,R)g $(F,\mathcal{R})_{g}$-contractions with an application

Author

Waleed M. Alfaqih, Mohammad Imdad, Rqeeb Gubran, and Idrees A. Khan

Subjects
Fixed point, F-contraction, Coincidence point, Common fixed point, Binary relation, Integral equation, Applied mathematics. Quantitative methods, T57-57.97, Analysis, QA299.6-433
Abstract

Abstract In this paper, we begin with some observations on F-contractions. Thereafter, we introduce the notion of (F,R)g $(F,\mathcal{R})_{g}$-contractions and utilize the same to prove some coincidence and common fixed point results in the setting of metric spaces endowed with binary relations. An example is also given to exhibit the utility of our results. We also deduce some consequences in the setting of ordered metric spaces. As an application, we investigate the existence and uniqueness of a solution of integral equation of Volterra type.

Published
2019
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2. Relation-theoretic coincidence and common fixed point results under $(F,\mathcal{R})_{g}$-contractions with an application

Author

Idrees A. Khan, Mohammad Imdad, Waleed M. Alfaqih, and Rqeeb Gubran

Subjects
0211 other engineering and technologies, 02 engineering and technology, Type (model theory), Common fixed point, 01 natural sciences, Coincidence, Combinatorics, Binary relation, Uniqueness, 0101 mathematics, Relation (history of concept), Integral equation, Mathematics, T57-57.97, QA299.6-433, Applied mathematics. Quantitative methods, 021103 operations research, Applied Mathematics, Fixed point, Coincidence point, 010101 applied mathematics, Metric space, Differential geometry, Geometry and Topology, F-contraction, Analysis
Abstract

In this paper, we begin with some observations on F-contractions. Thereafter, we introduce the notion of $(F,\mathcal{R})_{g}$ -contractions and utilize the same to prove some coincidence and common fixed point results in the setting of metric spaces endowed with binary relations. An example is also given to exhibit the utility of our results. We also deduce some consequences in the setting of ordered metric spaces. As an application, we investigate the existence and uniqueness of a solution of integral equation of Volterra type.

Published
2019
Full Text
View/download PDF

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