Abstract
The main purpose of this paper is to prove some new coincidence
and common fixed point theorems for noncommuting generalized
The main purpose of this paper is to prove some new coincidence
and common fixed point theorems for noncommuting generalized
R. P. Agarwal, D. O'Regan, and M. Sambandham, “Random degree and essentiality for countably condensing maps,” Stochastic Analysis and Applications, vol. 20, no. 6, pp. 1169–1176, 2002.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetM. A. Al-Thagafi, “Common fixed points and best approximation,” Journal of Approximation Theory, vol. 85, no. 3, pp. 318–323, 1996.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetI. Beg, A. R. Khan, and N. Hussain, “Approximation of -nonexpansive random multivalued operators on Banach spaces,” Journal of the Australian Mathematical Society, vol. 76, no. 1, pp. 51–66, 2004.
View at: Google Scholar | Zentralblatt MATH | MathSciNetW. G. Dotson Jr., “Fixed point theorems for non-expansive mappings on star-shaped subsets of Banach spaces,” Journal of the London Mathematical Society. Second Series, vol. 4, pp. 408–410, 1972.
View at: Google Scholar | Zentralblatt MATH | MathSciNetL. Habiniak, “Fixed point theorems and invariant approximations,” Journal of Approximation Theory, vol. 56, no. 3, pp. 241–244, 1989.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetT. Husain and A. Latif, “Fixed points of multivalued nonexpansive maps,” Mathematica Japonica, vol. 33, no. 3, pp. 385–391, 1988.
View at: Google Scholar | Zentralblatt MATH | MathSciNetT. Husain and A. Latif, “Fixed points of multivalued nonexpansive maps,” International Journal of Mathematics and Mathematical Sciences, vol. 14, no. 3, pp. 421–430, 1991.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetN. Hussain, “Coincidence points for multivalued maps defined on non-starshaped domain,” to appear in Demonstratio Mathematica.
View at: Google ScholarN. Hussain and A. R. Khan, “Common fixed-point results in best approximation theory,” Applied Mathematics Letters, vol. 16, no. 4, pp. 575–580, 2003.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetN. Hussain, D. O'Regan, and R. P. Agarwal, “Common fixed point and invariant approximation results on non-starshaped domain,” Georgian Mathematical Journal, vol. 12, pp. 659–669, 2005.
View at: Google ScholarG. Jungck, “Coincidence and fixed points for compatible and relatively nonexpansive maps,” International Journal of Mathematics and Mathematical Sciences, vol. 16, no. 1, pp. 95–100, 1993.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetG. Jungck, “Common fixed point theorems for compatible self maps of Hausdorff topological spaces,” Fixed Point Theory and Applications, vol. 2005, no. 3, pp. 355–363, 2005.
View at: Publisher Site | Google ScholarG. Jungck and S. Sessa, “Fixed point theorems in best approximation theory,” Mathematica Japonica, vol. 42, no. 2, pp. 249–252, 1995.
View at: Google Scholar | Zentralblatt MATH | MathSciNetT. Kamran, “Coincidence and fixed points for hybrid strict contractions,” Journal of Mathematical Analysis and Applications, vol. 299, no. 1, pp. 235–241, 2004.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetA. R. Khan and N. Hussain, “Random fixed points for -nonexpansive random operators,” Journal of Applied Mathematics and Stochastic Analysis, vol. 14, no. 4, pp. 341–349, 2001.
View at: Google Scholar | Zentralblatt MATH | MathSciNetE. Lami Dozo, “Multivalued nonexpansive mappings and Opial's condition,” Proceedings of the American Mathematical Society, vol. 38, pp. 286–292, 1973.
View at: Google Scholar | Zentralblatt MATH | MathSciNetA. Latif and A. Bano, “A result on invariant approximation,” Tamkang Journal of Mathematics, vol. 33, no. 1, pp. 89–92, 2002.
View at: Google Scholar | Zentralblatt MATH | MathSciNetA. Latif and I. Tweddle, “On multivalued -nonexpansive maps,” Demonstratio Mathematica, vol. 32, no. 3, pp. 565–574, 1999.
View at: Google Scholar | Zentralblatt MATH | MathSciNetZ. Liu, J. S. Ume, and M. S. Khan, “Coincidence and fixed point theorems in metric and Banach spaces,” International Journal of Mathematics and Mathematical Sciences, vol. 26, no. 6, pp. 331–339, 2001.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetG. Meinardus, “Invarianz bei linearen approximationen,” Archive for Rational Mechanics and Analysis, vol. 14, pp. 301–303, 1963.
View at: Google Scholar | Zentralblatt MATH | MathSciNetS. A. Naimpally, K. L. Singh, and J. H. M. Whitfield, “Fixed points and nonexpansive retracts in locally convex spaces,” Fundamenta Mathematicae, vol. 120, no. 1, pp. 63–75, 1984.
View at: Google Scholar | Zentralblatt MATH | MathSciNetH. K. Pathak and M. S. Khan, “Fixed and coincidence points of hybrid mappings,” Archivum Mathematicum (Brno), vol. 38, no. 3, pp. 201–208, 2002.
View at: Google Scholar | Zentralblatt MATH | MathSciNetS. A. Sahab, M. S. Khan, and S. Sessa, “A result in best approximation theory,” Journal of Approximation Theory, vol. 55, no. 3, pp. 349–351, 1988.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetN. Shahzad, “A result on best approximation,” Tamkang Journal of Mathematics, vol. 29, no. 3, pp. 223–226, 1998.
View at: Google Scholar | Zentralblatt MATH | MathSciNetN. Shahzad, “Correction to: “A result on best approximation”,” Tamkang Journal of Mathematics, vol. 30, no. 2, p. 165, 1999.
View at: Google Scholar | Zentralblatt MATH | MathSciNetN. Shahzad, “On -subcommuting maps and best approximations in Banach spaces,” Tamkang Journal of Mathematics, vol. 32, no. 1, pp. 51–53, 2001.
View at: Google Scholar | Zentralblatt MATH | MathSciNetN. Shahzad, “Coincidence points and -subweakly commuting multivalued maps,” Demonstratio Mathematica, vol. 36, no. 2, pp. 427–431, 2003.
View at: Google Scholar | Zentralblatt MATH | MathSciNetN. Shahzad, “Generalized -nonexpansive maps and best approximations in Banach spaces,” Demonstratio Mathematica, vol. 37, no. 3, pp. 597–600, 2004.
View at: Google Scholar | Zentralblatt MATH | MathSciNetN. Shahzad, “Some general random coincidence point theorems,” New Zealand Journal of Mathematics, vol. 33, no. 1, pp. 95–103, 2004.
View at: Google Scholar | MathSciNetN. Shahzad, “Invariant approximations, generalized -contractions, and -subweakly commuting maps,” Fixed Point Theory and Applications, vol. 2005, no. 1, pp. 79–86, 2005.
View at: Google Scholar | MathSciNetN. Shahzad and A. Latif, “A random coincidence point theorem,” Journal of Mathematical Analysis and Applications, vol. 245, no. 2, pp. 633–638, 2000.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetS. P. Singh, “An application of a fixed-point theorem to approximation theory,” Journal of Approximation Theory, vol. 25, no. 1, pp. 89–90, 1979.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetH. K. Xu, “Some random fixed point theorems for condensing and nonexpansive operators,” Proceedings of the American Mathematical Society, vol. 110, no. 2, pp. 395–400, 1990.
View at: Google Scholar | Zentralblatt MATH | MathSciNetH. K. Xu, “On weakly nonexpansive and -nonexpansive multivalued mappings,” Mathematica Japonica, vol. 36, no. 3, pp. 441–445, 1991.
View at: Google Scholar | Zentralblatt MATH | MathSciNet