In this work, we introduce weak Pata convex contractions and E -Pata via simulation functions in metric spaces to prove some fixed point results for such mappings. Also, consider an example related contractions. Consequently, our generalize unify the literature.

‎Recently‎, ‎Hussain et al.‎, ‎discussed the concept of $wt$-distance on a‎ ‎metric type space‎. ‎In this paper‎, ‎we prove some fixed‎ ‎point theorems for classes of contractive type multi-valued operators‎, ‎by using $wt$-distances in the setting of a complete metric type space‎. ‎These results generalize a result of Feng and Liu on multi-valued operators.

In this study, we utilize the notion of triple controlled metric type space that preserves symmetry property, which is a generalization b-metric-type spaces, to prove new fixed-point results. We introduce (?-F)-contractive mappings and ?-contractive on settings. Then, establish existence uniqueness results complete space. Moreover, some examples applications boundary-value problems fourth-order...

OBJECTIVES Intra-uterine growth retardation is often of unknown origin, and is of great interest as a "Fetal Origin of Adult Disease" has been now well recognized. We built a benchmark based upon a previously analysed data set related to Intrauterine Growth Retardation with 46 subjects described by 14 variables, related with the insulin-like growth factor system and pro-inflammatory cytokines, ...

A complete contraction on a C-algebra A, which preserves all closed two sided ideals J , can be approximated pointwise by elementary complete contractions if and only if the induced map on B⊗A/J is contractive for every C-algebra B, ideal J in A and C-tensor norm on B ⊗ A/J . A lifting obstruction for such an approximation is also obtained.

The approximation numbers of Hardy–type operators on trees. Abstract The Hardy operator Ta on a tree Γ is defined by (Taf)(x) := v(x) x a u(t)f (t)dt for a, x ∈ Γ. Properties of Ta as a map from L p (Γ) into itself are established for 1 ≤ p ≤ ∞. The main result is that, with appropriate assumptions on u and v, the approximation numbers an(Ta) of Ta satisfy (*) lim n→∞ nan(Ta) = αp Γ |uv|dt for ...

The existence of coincidence points and common fixed points for four mappings satisfying generalized contractive conditions without exploiting the notion of continuity of any map involved therein, in a cone metric space is proved. These results extend, unify and generalize several well known comparable results in the existing literature. 2010 Elsevier Inc. All rights reserved.

various authors have considered the zero-rest-mass equation and the contour integral representation of its solutions. ferber generalized these equations to supertwistor spaces with 2n odd components so that with n=o we get the standard ungraded twistors of penrose. in this paper we use the batchelor theorem toconstruct the natural super twistor space with coarse topology with underlying standar...