Papers by Dr SHOYEB A L I SAYYED
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In this paper we have extended the results of Sayyed and Vyas12 and proved fixed point theorems f... more In this paper we have extended the results of Sayyed and Vyas12 and proved fixed point theorems for a pair of coincidentally commuting mappings in D-metric space satisfying certain class of contractive condition.
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In this paper we have proved two results on fixed point theorems for self mappings of a metric sp... more In this paper we have proved two results on fixed point theorems for self mappings of a metric space by altering distances between points with the use of certain control functions. The first one is a generalization of a result of Sayyed et.al. 5,the second result deals with the common fixed point for a pair of self mappings. keywords: Fixed point, Metric space, Selfmaps, orbitally continuous. 24 SAyyed & SAyyed , Orient. J. Phys. Sciences, Vol. 1 (1 & 2), 23-26 (2016) a cluster point z, in X. If T is orbitally continuous at z and there exists a φ ∈Φ such that ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) , , 1 / 2 [ , ] , f d Tx Ty cf d x y c f d x Tx f d y Ty < + − + ...(2.2) Where α, β are non-negative with α+β< 1 for each x,y = Tx ∈ O(x0), x≠y, then z is the unique fixed point of T. Proof . define the sequence {xn} by xn = Tnx0 for n = 1,2,... . If xn = xn+1 for some n, then xm = xn for m ≥ n so that z = and Tz = z by the orbital continuity of T. We now assume xn≠ xn+1 for every n in...
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In this paper we prove common fixed point of pairs of coincidentally commuting mappings in D-metr... more In this paper we prove common fixed point of pairs of coincidentally commuting mappings in D-metric spaces.
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International Journal of Scientific and Innovative Mathematical Research, 2017
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Material Science Research India, 2010
In this paper the authors studied the problem of Sayyed and Badshah8 and prove common fixed point... more In this paper the authors studied the problem of Sayyed and Badshah8 and prove common fixed point theorem in Hilbert Space. In recent years Rashwan and Sadik5, Malnge3, Berinde1, Rashwan4, Song and Chen11, Cric, Ume and Khan2 have studied the convergence of iterations to common fixed point for a pair of mappings. Rhoades6-7, proved the mappings T satisfying certain contractive condition, if the sequences of Mann iterates converged it converges to a fixed point of T. Sayyed and Badshah9-10 proved generalized contractive type mapping in Hilbert Space. AMS (2000) Subject Classifications: Primary 47H10, Secondary 54H25
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Current World Environment, 2012
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Papers by Dr SHOYEB A L I SAYYED