Results 21 to 30 of about 146,193 (70)

Convergence of Panigrahy iteration process for Suzuki generalized nonexpansive mapping in uniformly convex Banach space [PDF]

Journal of Hyperstructures
In this paper, we establish strong and weak convergence theorems for Suzuki's generalized nonexpansive mapping in uniformly convex Banach spaces using the iterative scheme introduced by Panigrahy et al [9]. Next, we see an example of Suzuki's generalized
Omprash Sahu, Amitabh Banerjee
doaj   +1 more source

Convergence Rate of Some Two‐Step Iterative Schemes in Banach Spaces

Journal of Mathematics, Volume 2016, Issue 1, 2016., 2016
This article proves some theorems to approximate fixed point of Zamfirescu operators on normed spaces for some two‐step iterative schemes, namely, Picard‐Mann iteration, Ishikawa iteration, S‐iteration, and Thianwan iteration, with their errors. We compare the aforementioned iterations using numerical approach; the results show that S‐iteration ...
O. T. Wahab, R. O. Olawuyi, K. Rauf, I. F. Usamot, Ji Gao   +4 more
wiley   +1 more source

Some Convergence and Stability Results for Two New Kirk Type Hybrid Fixed Point Iterative Algorithms

Journal of Function Spaces, Volume 2014, Issue 1, 2014., 2014
We introduce Kirk‐multistep‐SP and Kirk‐S iterative algorithms and we prove some convergence and stability results for these iterative algorithms. Since these iterative algorithms are more general than some other iterative algorithms in the existing literature, our results generalize and unify some other results in the literature.
Faik Gürsoy, Vatan Karakaya, M. Mursaleen   +2 more
wiley   +1 more source

On the Convergence of Techniques that Improve Value Iteration [PDF]

, 2013
Prioritisation of Bellman backups or updating only a small subset of actions represent important techniques for speeding up planning in MDPs. The recent literature showed new efficient approaches which exploit these directions.
Marek Grzes, Hoey, Jesse, Grzes, Marek, Jesse Hoey   +3 more
core   +1 more source

Fixed Point of a New Three‐Step Iteration Algorithm under Contractive‐Like Operators over Normed Spaces

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
We introduce a new three‐step iteration scheme and prove that this new iteration scheme is convergent to fixed points of contractive‐like operators. Also, by providing an example, we show that our new iteration method is faster than another iteration method due to Suantai (2005).
Vatan Karakaya, Kadri Doğan, Faik Gürsoy, Müzeyyen Ertürk, S. A. Mohiuddine   +4 more
wiley   +1 more source

Comparison of fastness of the convergence among Krasnoselskij, Mann, and Ishikawa iterations in arbitrary real Banach spaces

Fixed Point Theory and Applications, 2007
Let E be an arbitrary real Banach space and K a nonempty, closed, convex (not necessarily bounded) subset of E. If T is a member of the class of Lipschitz, strongly pseudocontractive maps with Lipschitz constant L≥1, then it is shown that to each ...
K. N. V. V. Vara Prasad, G. V. R. Babu
doaj   +1 more source

Existence of Iterative Cauchy Fractional Differential Equation

Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013
Our main aim in this paper is to use the technique of nonexpansive operators in more general iterative and noniterative fractional differential equations (Cauchy type). The noninteger case is taken in sense of the Riemann‐Liouville fractional operators. Applications are illustrated.
Rabha W. Ibrahim, Jen-Chih Yao
wiley   +1 more source

Common fixed point theorem for modified Kannan enriched contraction pair in Banach spaces and its applications [PDF]

, 2021
The purpose of this paper is to introduce the class of (a; b; c)-modified enriched Kannan pair of mappings (T; S) in the setting of Banach space that includes enriched Kannan mappings, contraction and nonexpansive mappings and some other mappings. Some
Anjum, Rizwan, Abbas, Mujahid
core   +1 more source

Generalized Enriched Contractions of Boyd–Wong and Geraghty Type in Banach Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper examines generalized enriched contractions of the Boyd–Wong and Geraghty types within Banach spaces, expanding the classical concept of enriched operators. We establish the existence and uniqueness of fixed points for these contractions and analyze the convergence of Mann‐type iterative schemes specifically designed for these mappings.
Rekha Panicker, Rahul Shukla, Xian-Ming Gu   +2 more
wiley   +1 more source

On Unified Fixed Point and Convergence Results for Generalized Enriched Contractions With Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce a new class of generalized contractions, called enriched (Ψ, φ)‐contractions. Within this framework, we establish several fixed‐point theorems together with corresponding convergence results, which extend and unify a range of existing results in the literature.
Muhammad Umar Javed, Muhammad Nazam, Asim Asiri, Aftab Hussain, Smritijit Sen   +4 more
wiley   +1 more source