The paper presents some fixed point theorems for operators of the form U + C on a bounded closed convex subset of a locally convex space, where C is completely continuous and Un satisfies contraction type conditions. Applications to integral equations in a Banach space are presented.
1985 Mathematics Subject Clarifiction
En]Key words and phrases
fixed point theorems locally convex spaces integral equations
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M. Z. Nashed and J.S.W. Wong, Some variants of a fixed point theorem of Krasnosel’skii and applications to nonlinear integral equations, J. Math. Mechanics, 18 (1969), 767–777.MathSciNetMATHGoogle Scholar
D. H. Tan, Two fixed point theorems of Krasnosels’kii type, Rev. Roumain Math. Pure Appl. 32 (1987), 397–400.MATHGoogle Scholar
B. G. Zhang and J. S. Yu, On the existence of asymptotically decaying positive solutions of second order neutral difference equations, J. Math. Anal. Appl, 166 (1992), 1–11.MathSciNetMATHCrossRefGoogle Scholar