Results 41 to 50 of about 5,560 (184)
Controlled Metric Space and Fixed Point Theorems for Jaggi–Suzuki–Type Hybrid Contraction
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, we introduce a new notion of generalized Jaggi–Suzuki–type hybrid contraction in the setting of controlled metric space and prove some fixed point theorems by making use of the same. A suitable example is also provided to prove the validity of our results.
Swati Parashar +4 more
wiley +1 more source
C∗-algebra-valued metric spaces and related fixed point theorems
, 2014 Based on the concept and properties of C∗-algebras, the paper introduces a concept of C∗-algebra-valued metric spaces and gives some fixed point theorems for self-maps with contractive or expansive conditions on such spaces.
Zhenhua Ma, Lining Jiang, Hongkai Sun
semanticscholar +1 more source
Some Common Fixed Point Results for 𝒵E−Contractions in Modular b−Metric Spaces
Topological Algebra and its Applications, 2022 The primary purpose of this study is to demonstrate some common fixed point theorems for diverse E−contractions involving generalized Proinov-simulation functions in the setting of modular b−metric spaces.
Büyükkaya Abdurrahman +1 more
doaj +1 more source
Is the solution to the BCS gap equation continuous in the temperature ?
, 2013 One of long-standing problems in mathematical studies of superconductivity is to show that the solution to the BCS gap equation is continuous in the temperature. In this paper we address this problem.
Watanabe, Shuji
core +1 more source
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed‐point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest
Dhanalakshmi Kasinathan +5 more
wiley +1 more source
Suzuki-type fixed point results in metric type spaces
, 2012 Suzuki’s fixed point results from (Suzuki, Proc. Am. Math. Soc. 136:1861-1869, 2008) and (Suzuki, Nonlinear Anal. 71:5313-5317, 2009) are extended to the case of metric type spaces and cone metric type spaces.
N. Hussain +3 more
semanticscholar +1 more source
Strong convergence for the modified Mann's iteration of $\lambda$-strict pseudocontraction
, 2014 In this paper, for an $\lambda$-strict pseudocontraction $T$, we prove strong convergence of the modified Mann's iteration defined by $$x_{n+1}=\beta_{n}u+\gamma_nx_n+(1-\beta_{n}-\gamma_n)[\alpha_{n}Tx_n+(1-\alpha_{n})x_n],$$ where $\{\alpha_{n}\}$, $ \{
Song, Yisheng, Wang, Hongjun
core +1 more source
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this manuscript, we establish some results on fixed points by using a triplet of auxiliary functions endowed with a locally J‐transitive binary relation. We also present an example to illustrate the suitability of our results and discuss some applications to first and second order ordinary differential equations with periodic boundary value problems,
Shahbaz Ali +4 more
wiley +1 more source
KKM and KY fan theorems in modular function spaces
Fixed Point Theory and Applications, 2011 In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul +2 more
doaj
Global optimization and applications to a variational inequality problem
Open Mathematics, 2021 In the present paper, we study the existence and convergence of the best proximity point for cyclic Θ\Theta -contractions. As consequences, we extract several fixed point results for such cyclic mappings.
Hussain Azhar +3 more
doaj +1 more source