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In this paper, we present some fixed point theorems for asymptotically regular sequences and asymptotically regular maps in complete
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References
- Hardy, G.E. and Roger, T.D., A generalization of a fixed point theorem of Reich, Canadian Mathematical Bulletin, 1973, 16, 201-206.
- Reich, S., Some results concerning contraction mappings, Canadian Mathematical Bulletin, 1971, 14, 121-124.
- Bakhtin, I.A., The contraction mapping principle in almost metric spaces, Functional Analyis Gos Ped. Institute Unianowsk, 1989, 30, 26-37.
- Czerwik, S., Contraction mappings in b-metric spaces, Acta Mathematica et Informatica Universitatis Ostraviensis, 1993, 1, 5-11.
- Czerwik, S., Nonlinear set valued contraction mappings in b-metric spaces, Atti del Seminario Matematico e Fisico dell' Universita di Modena, 1998, 46, 263-27
- Czerwik, S., Dlutek, K. and Singh, S.L., Round off stability of iteration Procedures for operators in b-metric spaces, Journal of Natural and Physical. Sciences, 1997, 11, 87-94.
- Czerwik, S., Dlutek, K. and Singh, S.L., Round off stability of iteration Procedures for set-valued operators in b-metric spaces, Journal of Natural and Physical Sciences, 2001, 15, 1-2.
- Aydi, H., Bota, M.F., Karanipar, E. and Mitrovic, S., A fixed point theorem for set-valued quasi-contraction in b-metric spaces, Fixed Point Theory and Applications, 2012, 88,1-8.
- Boriceanu, M., Fixed point theory on spaces with vector-valued b-metrics, Demonstratio Mathematica, XLII 2009, 4, 285-301.
- Bota, M., Molnar, A. and Varga, C., On Ekeland’s variational principle in b-metric spaces, Fixed Point Theory, 2011, 12( 2), 21-28.
- Madalina Pacurar, A fixed point result for
- Madalina Pacurar, Sequences of almost contractions and fixed points in b-metric spaces, analele universitatii de vest timisoara seria matematica-informatica, XLVIII, 2010, 3, 125-137.
- Mehmet Kir and Hukmi Kiziltunc, On some well-known fixed point theorems in b-metric spaces, Turkish Journal of Analysis and Number Theory, 2013, 1( 1), 13-16.
- Memudu O. Olatinwo and Christopher O. Imoru, A generalization of some results on multi-valued weakly Picard mappings in b-metric spaces, Fasciculi Mathematici, 2008, 40, 45-56.
- Mishra, P.K. Sachdeva, S. and Banerjee, S.N., Some fixed point theorems in b-metric spaces, Turkish Journal of Analysis and Number Theory, 2014, 2(1), 19-22.
- Heinz W. Engl, Weak convergence of asymptotically regular sequences for nonexpansive mappings and connection with certain Chebyshef-centers, Nonlinear Analysis: Theory, Methods and Applications, 1977, 1(5), 495-501.
- Browder, F.E. and Petryshyn, W.V., The solution by iteration of nonlinear functional equations in Banach spaces, Bulletin of American Mathematical Society, 1966, 72, 571-575.
References
Hardy, G.E. and Roger, T.D., A generalization of a fixed point theorem of Reich, Canadian Mathematical Bulletin, 1973, 16, 201-206.
Reich, S., Some results concerning contraction mappings, Canadian Mathematical Bulletin, 1971, 14, 121-124.
Bakhtin, I.A., The contraction mapping principle in almost metric spaces, Functional Analyis Gos Ped. Institute Unianowsk, 1989, 30, 26-37.
Czerwik, S., Contraction mappings in b-metric spaces, Acta Mathematica et Informatica Universitatis Ostraviensis, 1993, 1, 5-11.
Czerwik, S., Nonlinear set valued contraction mappings in b-metric spaces, Atti del Seminario Matematico e Fisico dell' Universita di Modena, 1998, 46, 263-27
Czerwik, S., Dlutek, K. and Singh, S.L., Round off stability of iteration Procedures for operators in b-metric spaces, Journal of Natural and Physical. Sciences, 1997, 11, 87-94.
Czerwik, S., Dlutek, K. and Singh, S.L., Round off stability of iteration Procedures for set-valued operators in b-metric spaces, Journal of Natural and Physical Sciences, 2001, 15, 1-2.
Aydi, H., Bota, M.F., Karanipar, E. and Mitrovic, S., A fixed point theorem for set-valued quasi-contraction in b-metric spaces, Fixed Point Theory and Applications, 2012, 88,1-8.
Boriceanu, M., Fixed point theory on spaces with vector-valued b-metrics, Demonstratio Mathematica, XLII 2009, 4, 285-301.
Bota, M., Molnar, A. and Varga, C., On Ekeland’s variational principle in b-metric spaces, Fixed Point Theory, 2011, 12( 2), 21-28.
Madalina Pacurar, A fixed point result for
Madalina Pacurar, Sequences of almost contractions and fixed points in b-metric spaces, analele universitatii de vest timisoara seria matematica-informatica, XLVIII, 2010, 3, 125-137.
Mehmet Kir and Hukmi Kiziltunc, On some well-known fixed point theorems in b-metric spaces, Turkish Journal of Analysis and Number Theory, 2013, 1( 1), 13-16.
Memudu O. Olatinwo and Christopher O. Imoru, A generalization of some results on multi-valued weakly Picard mappings in b-metric spaces, Fasciculi Mathematici, 2008, 40, 45-56.
Mishra, P.K. Sachdeva, S. and Banerjee, S.N., Some fixed point theorems in b-metric spaces, Turkish Journal of Analysis and Number Theory, 2014, 2(1), 19-22.
Heinz W. Engl, Weak convergence of asymptotically regular sequences for nonexpansive mappings and connection with certain Chebyshef-centers, Nonlinear Analysis: Theory, Methods and Applications, 1977, 1(5), 495-501.
Browder, F.E. and Petryshyn, W.V., The solution by iteration of nonlinear functional equations in Banach spaces, Bulletin of American Mathematical Society, 1966, 72, 571-575.