Research Journal of Science and Technology

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On Solutions of Some Functional-Integral Equations in Banach Algebra


Affiliations
1 School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (C.G.), 492010, India
     

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In this paper, using the technique of measures of noncompactness in Banach algebra, we prove the existence theorem for a functional-integral equation. Our results generalize, unify and extend several results of many authors. 2010 Mathematics Subject Classification. 47H10.

Keywords

Banach Algebra, Fixed Point Theorem.
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  • On Solutions of Some Functional-Integral Equations in Banach Algebra

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Authors

Deepmala
School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (C.G.), 492010, India
H. K. Pathak
School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (C.G.), 492010, India

Abstract


In this paper, using the technique of measures of noncompactness in Banach algebra, we prove the existence theorem for a functional-integral equation. Our results generalize, unify and extend several results of many authors. 2010 Mathematics Subject Classification. 47H10.

Keywords


Banach Algebra, Fixed Point Theorem.