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FIXED POINT THEOREMS FOR CONDENSING MAPPINGS SATISFYING LERAY-SCHAUDER TYPE CONDITIONS
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 Title & Authors
FIXED POINT THEOREMS FOR CONDENSING MAPPINGS SATISFYING LERAY-SCHAUDER TYPE CONDITIONS
Pulickakunnel, Shaini; Valappil, Sreya Valiya;
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 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.
 Keywords
condensing mappings;Leray-Schauder boundary condition;fixed point;Banach space;
 Language
English
 Cited by
 References
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F. E. Browder, Semicontractive and semiaccretive nonlinear mappings in Banach spaces, Bull. Amer. Math. Soc. 74 (1968), 660-665. crossref(new window)

2.
W. V. Petryshyn, Structure of the fixed points sets of k-set-contractions, Arch. Ration. Mech. Anal. 40 (1970/71), 312-328.

3.
S. Xu and S. Chen, New Fixed Point Theorems of Condensing Mappings Satisfying the Interior Condition in Banach spaces, Pure Appl. Math. J. 3 (2014), no. 6, 126-131. crossref(new window)

4.
S. Xu and C. Zhu, New fixed point theorems of condensing mappings satisfying the interior condition in Banach spaces, Anal. Theory Appl. 26 (2010), no. 1, 43-52. crossref(new window)