Applications of Measure of Noncompactness and Operator Type Contraction for Existence of Solution of Functional Integral Equations
The objective of this paper is to study the existence of solution of functional integral equations using a measure of noncompactness argument combined with generalized coupled fixed point theorem with the help of operator type contraction mapping in Banach spaces. We present an example to illustrate our results.
KeywordsOperator type contraction Coupled fixed point theorem Functional integral equations Measure of noncompactness
Mathematics Subject Classification34A34 46B45 47H08 47H10
The authors thank the editor and the referees for their valuable comments and helpful suggestions for better readability of the article. Research of the third author (M. Mursaleen) was supported by SERB Core Research Grant, DST, New Delhi, under grant No. EMR/2017/000340.
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