On Fixed Point Results for Modified JS-Contractions with Applications (original) (raw)
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e newest generalization of the Banach contraction through the notions of the generalized F-contraction, simulation function, and admissible function is introduced. e existence and uniqueness of fixed points for a self-mapping on complete metric spaces by the new constructed contraction are investigated. e results of this article can be viewed as an improvement of the main results given in the references.
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In this paper, we prove some common fixed point theorems for weakly compatible mappings in metric spaces satisfying generalized (ψ, ϕ)-contractive conditions under the common limit range property. We present a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any number of finite mappings. Our results improve and extend the corresponding results of Radenović et al. (Bull. Iranian Math. Soc. 38(3):625-645, 2012). We also furnish some illustrative examples to support our main results. The concept of weak contraction was introduced by Alber and Guerre-Delabriere [7] in 1997, wherein the authors introduced the following notion for mappings defined on a Hilbert space X. Consider the following set of real functions = { ϕ : [ 0, +∞) →[ 0, +∞) : ϕ is lower semi-continuous and ϕ −1 ({0}) = {0} }.
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