Abstract
The aim of this study is, if a Banach space accepts a sequentially weak continuous duality function, a condition later offered to characterize by. It is met with weak limits by means of the norm and the space. It has a normal structure in the sense of Brodskii-Milman. This the result of geometric reality allows for some associations. Fixed point theory for both single-valued and multi-valued functions indicates non-expanding matches.
Keywords
Metric space fixed point iterations convergence speed and fixed point. (2020) Mathematics Subject Classication:47H10
References
- 1. J. P. Gossez, A note on multivalued monotone operators, Michigan Math. J.17 (1970), 347-350.
- 2. . W. A. Kirk, A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly, 72 (1965).
- 3. 27. G. J. Minty, Monotone (nonlinear) operators in Hilbert space, Duke Math. J., 29 (1962), 341-346.
- 4. Dr. B.D. Pant, S. Kumar, Some Fixed Point Theorems in Menger Spaces and Aplications, Uttarakhand 247712, March 2008.
- 5. S. Elmas, S. Hızarcı, A. Kaplan, A Fixed Point Theorem for Surfaces, ARPN Journal of Science and Technology,2011.
- 6 F. E. Browder, Nonlinear operators and nonlinear equations of evolution in Banach Spaces, Proc. Symp. Pure Math. 18, Part 2, Amer. Math. Soc, to appear.
- 7. R. E. Bruck, Approximating fixed points and fixed point sets of nonexpansive mappings in Banach spaces, Ph. D. Thesis, University of Chicago, 1969.
- 8.D. F, Cudia, The geometry of Banach spaces, Smoothness,Trans.Amer.Math.Soc,110 (1964).
- 9. M. M. Day, Strict convexity and smoothness of normed spaces, Trans. Amer. Math.Soc, 78 (1955), 516-528.
- 10. E. Asplund, Positivity of duality mappings, Bull. Amer. Math. Soc, 73 (1967),
- 11. S Elmas , S.Hızarcı, SOME NEW CONVERGENCE THEOREMS FOR A HYBRID PAIR OF NONEXPANSIVE MAPPINGS IN CAT(0) SPACES,Ciencia e Tecnica Vitivinicola 31 (4), 1-14
- 12. N. A. Assad and W. A. Kirk, Fixed point theorems for set-valued mappings of contractive type, to appear6
Abstract
Keywords
Metric space fixed point iterations convergence speed and fixed point. (2020) Mathematics Subject Classication:47H10
References
- 1. J. P. Gossez, A note on multivalued monotone operators, Michigan Math. J.17 (1970), 347-350.
- 2. . W. A. Kirk, A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly, 72 (1965).
- 3. 27. G. J. Minty, Monotone (nonlinear) operators in Hilbert space, Duke Math. J., 29 (1962), 341-346.
- 4. Dr. B.D. Pant, S. Kumar, Some Fixed Point Theorems in Menger Spaces and Aplications, Uttarakhand 247712, March 2008.
- 5. S. Elmas, S. Hızarcı, A. Kaplan, A Fixed Point Theorem for Surfaces, ARPN Journal of Science and Technology,2011.
- 6 F. E. Browder, Nonlinear operators and nonlinear equations of evolution in Banach Spaces, Proc. Symp. Pure Math. 18, Part 2, Amer. Math. Soc, to appear.
- 7. R. E. Bruck, Approximating fixed points and fixed point sets of nonexpansive mappings in Banach spaces, Ph. D. Thesis, University of Chicago, 1969.
- 8.D. F, Cudia, The geometry of Banach spaces, Smoothness,Trans.Amer.Math.Soc,110 (1964).
- 9. M. M. Day, Strict convexity and smoothness of normed spaces, Trans. Amer. Math.Soc, 78 (1955), 516-528.
- 10. E. Asplund, Positivity of duality mappings, Bull. Amer. Math. Soc, 73 (1967),
- 11. S Elmas , S.Hızarcı, SOME NEW CONVERGENCE THEOREMS FOR A HYBRID PAIR OF NONEXPANSIVE MAPPINGS IN CAT(0) SPACES,Ciencia e Tecnica Vitivinicola 31 (4), 1-14
- 12. N. A. Assad and W. A. Kirk, Fixed point theorems for set-valued mappings of contractive type, to appear6
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Articles |
| Authors | |
| Publication Date | February 14, 2023 |
| Submission Date | December 29, 2022 |
| Published in Issue | Year 2023 Volume: 6 Issue: 1 |
