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A contractive type fixed point theorem for a mapping \(f: X\times X\to X\), \(X\) a compact metric space, is proved.
Bhola, P. K., Sharma, P. L.
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Bhola, P. K., Sharma, P. L.
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Some Caristi type fixed point theorems
, 2020M. Aslantaş, H. Şahin, D. Turkoglu
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Generalisation of a fixed point theorem
1985The following fixed point theorem has been proved in [\textit{J. Achari} and \textit{B. K. Lahiri}, Riv. Mat. Univ. Parma, IV. Ser. 6, 161-165 (1980; Zbl 0463.47038)]. Theorem: Let \(X\) be a reflexive Banach space and \(K\) be a non-empty closed convex bounded subset of \(X\).
Tiwary, Kalishankar, Lahiri, B. K.
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Fixed point theorems in partially ordered metric spaces and applications
, 2006T. Bhaskar, V. Lakshmikantham
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Fixed point theorems for orthogonal F-contraction mappings on O-complete metric spaces
Journal of Fixed Point Theory and Applications, 2019Kanokwan Sawangsup +2 more
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Strong convergence theorems for equilibrium problems and fixed point problems in Banach spaces
Journal of Fixed Point Theory and Applications, 2018D. Hieu, J. Strodiot
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Some Generalizations of Fixed-Point Theorems on S-MetricSpaces
, 2016N. Özgür, N. Taş
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1994
The following fixed point theorem in a complete metric space is proved: Let \((X,d)\) be a bounded complete metric space and let \(T\) be a continuous mapping of \(X\) into itself. Let \(\varphi: \mathbb{R}_+^5\to \mathbb{R}_+\) be nondecreasing in each variable and let \(T\) satisfy the following condition for \(x\neq y\): \[ d(Tx,Ty)< \varphi\{d(x,Tx)
Tiwary, Kalishankar, Singh, G. N.
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The following fixed point theorem in a complete metric space is proved: Let \((X,d)\) be a bounded complete metric space and let \(T\) be a continuous mapping of \(X\) into itself. Let \(\varphi: \mathbb{R}_+^5\to \mathbb{R}_+\) be nondecreasing in each variable and let \(T\) satisfy the following condition for \(x\neq y\): \[ d(Tx,Ty)< \varphi\{d(x,Tx)
Tiwary, Kalishankar, Singh, G. N.
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