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The purpose of this paper is to prove some fixed point results dealing with a system of nonlinear equations defined in an angelic Hausdorff locally convex space (X , { | ⋅ | p } p ∈ Λ) (X,\{\lvert\,{\cdot}\,\rvert_{p}\}_{p\in\Lambda}) having the 휏-Krein–Šmulian property, where 휏 is a weaker Hausdorff locally convex topology of 푋. The method applied in our study is connected with a family Φ Λ τ \Phi_{\Lambda}^{\tau} -MNC of measures of weak noncompactness and with the concept of 휏-sequential continuity. As a special case, we discuss the existence of solutions for a 2 × 2 2\times 2 block operator matrix with nonlinear inputs. Furthermore, we give an illustrative example for a system of nonlinear integral equations in the space C ⁢ (R +) × C ⁢ (R +) C(\mathbb{R}^{+})\times C(\mathbb{R}^{+}) to verify the effectiveness and applicability of our main result. [ABSTRACT FROM AUTHOR]

We discuss the existence of solutions for a differential equation of fractional order with multi-point nonlocal boundary conditions via standard tools of fixed point theory. The paper concludes with some illustrative examples. [ABSTRACT FROM AUTHOR]

In this paper, we prove some fixed point theorems of Ćirić type for mappings having non-unique fixed points by employing rational-type contractive conditions and the notion of comparison functions. Our results are generalizations, extensions and improvements of some previous and corresponding results in the literature. [ABSTRACT FROM AUTHOR]

We study the existence of solutions for the nonlinear elliptic problem - Δ ⁢ v - λ ⁢ g 1 ⁢ v + h 1 ⁢ (v) = f 1 in ⁢ V ∖ V 0 , v = 0 on ⁢ V 0 , where V is the Sierpiński gasket in ℝ N - 1 ( N ≥ 2 ), V 0 is its boundary (consisting of its N corners) and λ ∈ ℝ . Here f 1 , g 1 : V → ℝ , h 1 : ℝ → ℝ are the maps satisfying suitable hypotheses. [ABSTRACT FROM AUTHOR]