논문KCI 등재
Fixed point theorems for condensing mappings satisfying Leray-Schauder type conditions
대한수학회 (The Korean Mathematical Society)|2016.01|대한수학회논문집 (Communications of the KMS)|제31권 제1호|pp. 139-145
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In this paper, some new fixed point theorems for condensing mappings are established based on a well known result of Petryshyn. We use several Leray-Schauder type conditions to prove new fixed point results. We also obtain generalizations of Altman's theorem and Petryshyn's theorem as well.
Abstract
In this paper, some new fixed point theorems for condensing mappings are established based on a well known result of Petryshyn. We use several Leray-Schauder type conditions to prove new fixed point results. We also obtain generalizations of Altman's theorem and Petryshyn's theorem as well.
참고문헌 (4)
- F. E. Browder, "Semicontractive and semiaccretive nonlinear mappings in Banach spaces", Bull. Amer. Math. Soc, 74, pp.660~665 (1968)
- W. V. Petryshyn, "Structure of the fixed points sets of k-set-contractions", Arch. Ration. Mech. Anal, 40, pp.312~328 (1970)
- S. Xu, "New Fixed Point Theorems of Condensing Mappings Satisfying the Interior Condition in Banach spaces", Pure Appl. Math. J, 3(6), pp.126~131 (2014)
- S. Xu, "New fixed point theorems of condensing mappings satisfying the inte-rior condition in Banach spaces", Anal. Theory Appl, 26(1), pp.43~52 (2010)
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