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http://dx.doi.org/10.22771/nfaa.2021.26.03.08

COMMON FIXED POINT THEOREMS FOR GENERALIZED 𝜓∫𝜑-WEAKLY CONTRACTIVE MAPPINGS IN G-METRIC SPACES  

Kim, Jong Kyu (Department of Mathematics Education, Kyungnam University)
Kumar, Manoj (Department of Mathematics, Faculty of Sciences Baba Mastnath University)
Bhardwaj, Preeti (Department of Mathematics, Faculty of Sciences Baba Mastnath University)
Imdad, Mohammad (Department of Mathematics, Aligarh Muslim University)
Publication Information
Nonlinear Functional Analysis and Applications / v.26, no.3, 2021 , pp. 565-580 More about this Journal
Abstract
In this paper, first of all we prove a fixed point theorem for 𝜓∫𝜑-weakly contractive mapping. Next, we prove some common fixed point theorems for a pair of weakly compatible self maps along with E.A. property and (CLR) property. An example is also given to support our results.
Keywords
G-metric space; ${\psi}_{{\int}{\varphi}}$-weakly contractive mapping; weakly compatible; E.A. property; (CLR) property;
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