Pt. Ravishankar Shukla University
School of Studies in Mathematics
The purpose of this paper is to investigate the demiclosed principle, the existence theorems and convergence theorems in CAT(0) spaces for a class of mappings which is essentially wider than that of asymptotically nonexpansive mappings.... more
A new general composite implicit random iteration scheme with perturbed mapping is proposed and obtain necessary and sufficient conditions for strong convergence of proposed iteration scheme to random fixed point of a finite family of... more
Strong and weak convergence theorems for multistep iterative scheme with errors for finite family of asymptotically nonexpansive mappings are established in Banach spaces. Our results extend and improve the corresponding results of... more
In this paper, a modified general composite implicit iteration process is used to study the convergence of a finite family of asymptotically nonexpansive mappings. Weak and strong convergence theorems have been proved, in the framework of... more
In the present paper, we propose a modified composite implicit iteration process for finite family of asymptotically nonexpansive mappings and prove some weak and strong convergence theorems for this family of mappings using proposed... more
In this paper, stone theorem~ on fixed points o/ pair of asymptotically regular mtq~pings in p-tmi/ormlv eonve.v Banaeh space ure proved, For these mappings some .[).vcd point theorems in a Hilhert space, in L ~ .waces. ht Hardy spaces H... more
A bst r act : Fixed points for set-valued mappings from a metric space X (not necessarily complete) into B (X) , the collection of nonempty bounded subsets of X are obtained. The result generalizes some known results .
The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique. We further propose an algorithm which converges to its solution... more
A fixed point theorem is proved in a Banach spaceEwhich has uniformly normal structure for asymptotically regular mappingTsatisfying: for eachx,yin the domain and... more
In this paper, we prove a convergence theorem for Passty type asymptotically nonexpansive mappings in a uniformly convex Banach space with Fréchet-differentiable norm.
LetKbe a nonempty subset of ap-uniformly convex Banach spaceE,Ga left reversible semitopological semigroup, and𝒮={Tt:t∈G}a generalized Lipschitzian semigroup ofKinto itself, that is,... more
Let K be a nonempty subset of a Banach space E and T a mapping of K into itself. T is said to be uniformly k-Lipschitzian if ll7 “x-T'y| lSk| lx—yl| for all x, y in K and n= 1, 2,. These mappings were first studied by Goebel and... more
In this paper, we consider a new class of generalized extended nonlinear quasi-variational inequality problems involving set-valued relaxed monotone operators and establish its equivalence with the fixed point problem. We study criteria... more
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Using the prox-regularity notion, we introduce a system of nonconvex general variational inequalities and a general three step algorithm for approximate solvability of this system. We establish the convergence of three-step projection... more
Strong and weak convergence theorems for multistep iterative scheme with errors for finite family of asymptotically nonexpansive mappings are established in Banach spaces. Our results extend and improve the corresponding results of... more
This paper presents a proxy blind signature scheme with forward security mechanism. The proposed digital signature scheme combines the two special-purpose signature schemes, blind signature and proxy signature. In this signature scheme,... more