In this paper we prove a new version of Kransoselskii's fixed-point theorem under ($\psi, \theta, \varphi$)-weak contraction condition. The theoretical result is applied to the existence solution following fractional hybrid differential equation involving Riemann-Liouville and integral operators orders $0<\alpha<1$ $\beta>0:$ \begin{equation}\nonumber \left\{\begin{array}{ll} D^{\alpha}[x(t)-f(...

Abstract We consider Ω as a subset of Banach space W and Λ function into . Let Ϝ be whose image values lie in domain is $\Lambda (\Omega )\times \Omega $ Λ ( Ω ) × or $\Omega \times In this paper, we establish some fixed-point results for gen...

The type A colored Tverberg theorem of Blagojevic, Matschke, and Ziegler provides optimal bounds for the problem, under condition that number intersecting rainbow simplices is a prime number. We extend this result to an optimal, multisets points, which valid each power $r=p^k$. One principal new ideas replace ambient simplex $\Delta^N$, used in original theorem, by abridged smaller dimension, c...

In this paper we investigate the spectral problem in Finsler geometry. Due to nonlinearity of Finsler–Laplacian operator, introduce faithful dimension pairs by means which spectrum a compact reversible metric measure manifold is defined. Various upper and lower bounds such eigenvalues are provided spirit Cheng, Buser Gromov, extend several aspects results Hassannezhad, Kokarev Polterovich. More...

In this paper, we introduce a Mann-Krasnoselskii algorithm of inertial form for approximating common solution Spit Variational Inclusion Problem (SVIP) and Equilibrium (EP) with paramonotone bifunction in real Hilbert spaces. Motivated by the self-adaptive technique, incorporate technique to accelerate convergence proposed method. Under standard mild assumptions such as monotonicity lower semic...

We study Krasnoselskii-Mann style iterative algorithms for approximating fixpoints of asymptotically weakly contractive mappings, with a focus on providing generalized convergence proofs along explicit rates convergence. More specifically, we define new notion being ψ-weakly modulus, and present series abstract theorems which both generalize unify known results from the literature. Rates are fo...

Motivated by the open question posed H. K. XU in [39] (Question 2:8), Belhadj, Ben Amar and Boumaiza introduced [5] concept of Meir-Keeler condensing operator for self-mappings a Banach space via an arbitrary measure weak noncompactness. In this paper, we introduce Meir- Keeler nonself-mappings noncompactness establish fixed point results under condition Leray-Schauder type. Some basic hybrid t...