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In this paper we introduce the notion of the generalized Darbo fixed point theorem and prove some fixed and coupled fixed point theorems in Banach space via the measure of non-compactness, which generalize the result of Aghajani et al. [6]. Our results generalize, extend, and unify several well-known comparable results in the literature. One of the applications of our main result is to prove the existence of solutions for the system of integral equations.
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참고문헌 (17)
참고문헌 신청
A. Aghajani / / A coupled fixed point theorem for condensing operators with application to system of integral equations / Journal of Nonlinear and Convex Analysis
A. Aghajani / 2011 / Existence of solution for a class of nonlinear Voltrra sigular integral equations / Comput. Math. Appl 62 (3) : 1215 ~ 1227
A. Aghajani / 2013 / Some generalizations of Darbo fixed point theo-rem and applications / Bull. Belg. Math. Soc. Simon Stevin 20 (2) : 345 ~ 358
A. Aghajani / 2014 / A generalization of Darbo’s theorem with application to the solvability of systems of integral equations / J. Comput. Appl. Math 260 : 68 ~ 77
I. Altun / 2007 / A fixed point theorem for mappings satisfying a general contractive condition of operator type / J. Comput. Anal. Appl 9 (1) : 9 ~ 14
A. Aghajani / 2011 / Existence of solution for a class of nonlinear Voltrra sigular integral equations / Comput. Math. Appl 62 (3) : 1215 ~ 1227
A. Aghajani / 2013 / Some generalizations of Darbo fixed point theo-rem and applications / Bull. Belg. Math. Soc. Simon Stevin 20 (2) : 345 ~ 358
A. Aghajani / 2014 / A generalization of Darbo’s theorem with application to the solvability of systems of integral equations / J. Comput. Appl. Math 260 : 68 ~ 77
I. Altun / 2007 / A fixed point theorem for mappings satisfying a general contractive condition of operator type / J. Comput. Anal. Appl 9 (1) : 9 ~ 14
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