Title of article
Fixed point theorems for mappings with common limit range property satisfying generalized (ψ, ϕ)-weak contractive conditions
Author/Authors
Imdad, Mohammad Aligarh Muslim Univeristy - Department of Mathematics, India , Chauhan, Sunny R.H. Government Postgraduate College, India , Kadelburg, Zoran University of Belgrade - Faculty of Mathematics, Serbia
From page
1
To page
8
Abstract
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 Radenovi´c et al. (Bull. Iranian Math. Soc. 38(3):625–645, 2012). We also furnish some illustrative examples to support our main results.
Keywords
Metric space , Weakly compatible mappings , Property (E.A) , Generalized weak contraction , Common limit range property , Fixed point
Journal title
Mathematical Sciences
Journal title
Mathematical Sciences
Record number
2681460
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