Some Theorems on Expansion Mappings and Their Fixed Points

Some fixed points of expansion mappings

“…Also, Rhoades [9] and Taniguchi [10] generalized the results of [11] for pairs of mappings. Furthermore, Kang [3] and Kang and Rhoades [4] extend the results obtained by Khan et al [5], Rhoades [9] and Waniguchi [10].…”

“…In this paper, we give some fixed point theorems for expansion mappings, which improve the results of Kang [3], Khan et al [5], Rhoades [9] and Waniguchi [10]. We also need the following Lemma due to Matkoski [6] For any m < n,…”

“…Wang et al [11] proved some fixed point theorems on expansion mappings, which correspond to some contractive mappings in [8]. Recently, by using functions, Khan et al [5] generalized the results of [11], and Park and Rhoades [7] proved some fixed point theorems for expansion mappings. Also, Rhoades [9] and Taniguchi [10] generalized the results of [11] for pairs of mappings.…”

Common Fixed Points for Expansion Mappings in Generalized Metric Spaces

“…Wang-Li-Gao and Is'eki [8] proved some fixed point theorems for expansion maps, which correspond to some contractive maps in [5]. Khan-Khan and Sessa [3] generalized the results of [8]. Rhoades [6] and Taniguchi [7] have further extended, generalized the results of [8] for a pair of maps in metric spaces.…”

“…Let R + be the set of all non-negative real numbers, following KhanKhan and Sessa [3], let $ be the collection of all functions <f>: (R + ) Proof. Let xo be an arbitrary point in X.…”