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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.
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참고문헌 (4)
참고문헌 신청
F. E. Browder / 1968 / Semicontractive and semiaccretive nonlinear mappings in Banach spaces / Bull. Amer. Math. Soc 74:660~665
W. V. Petryshyn / 1970 / Structure of the fixed points sets of k-set-contractions / Arch. Ration. Mech. Anal 40:312~328
S. Xu / 2014 / New Fixed Point Theorems of Condensing Mappings Satisfying the Interior Condition in Banach spaces / Pure Appl. Math. J 3(6):126~131
S. Xu / 2010 / New fixed point theorems of condensing mappings satisfying the inte-rior condition in Banach spaces / Anal. Theory Appl 26(1):43~52
W. V. Petryshyn / 1970 / Structure of the fixed points sets of k-set-contractions / Arch. Ration. Mech. Anal 40:312~328
S. Xu / 2014 / New Fixed Point Theorems of Condensing Mappings Satisfying the Interior Condition in Banach spaces / Pure Appl. Math. J 3(6):126~131
S. Xu / 2010 / New fixed point theorems of condensing mappings satisfying the inte-rior condition in Banach spaces / Anal. Theory Appl 26(1):43~52
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